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133031010212112 = 24323792687567661
BaseRepresentation
bin11110001111110110110010…
…000110111001100100010000
3122110000122021211110120002110
4132033312302012321210100
5114414040002103241422
61150533334041545320
740010113306340325
oct3617666206714420
9573018254416073
10133031010212112
113942a153176281
1212b063741a5240
13592ca0285160c
1424bca41748b4c
15105a69646360c
hex78fdb21b9910

133031010212112 has 160 divisors (see below), whose sum is σ = 363280428564480. Its totient is φ = 41863117570560.

The previous prime is 133031010212081. The next prime is 133031010212117. The reversal of 133031010212112 is 211212010130331.

133031010212112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133031010212117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234065562 + ... + 234633222.

It is an arithmetic number, because the mean of its divisors is an integer number (2270502678528).

Almost surely, 2133031010212112 is an apocalyptic number.

133031010212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133031010212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181640214282240).

133031010212112 is an abundant number, since it is smaller than the sum of its proper divisors (230249418352368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133031010212112 is a wasteful number, since it uses less digits than its factorization.

133031010212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570461 (or 570455 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 133031010212112 its reverse (211212010130331), we get a palindrome (344243020342443).

The spelling of 133031010212112 in words is "one hundred thirty-three trillion, thirty-one billion, ten million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 79 92 138 158 184 237 276 316 368 474 552 632 948 1104 1264 1817 1896 2687 3634 3792 5374 5451 7268 8061 10748 10902 14536 16122 21496 21804 29072 32244 42992 43608 61801 64488 87216 123602 128976 185403 212273 247204 370806 424546 494408 567661 636819 741612 849092 988816 1135322 1273638 1483224 1698184 1702983 2270644 2547276 2966448 3396368 3405966 4541288 4882279 5094552 6811932 9082576 9764558 10189104 13056203 13623864 14646837 19529116 26112406 27247728 29293674 39058232 39168609 44845219 52224812 58587348 78116464 78337218 89690438 104449624 117174696 134535657 156674436 179380876 208899248 234349392 269071314 313348872 358761752 538142628 626697744 717523504 1031440037 1076285256 1525305107 2062880074 2152570512 3050610214 3094320111 4125760148 4575915321 6101220428 6188640222 8251520296 9151830642 12202440856 12377280444 16503040592 18303661284 24404881712 24754560888 35082017461 36607322568 49509121776 70164034922 73214645136 105246052383 120499103453 140328069844 210492104766 240998206906 280656139688 361497310359 420984209532 481996413812 561312279376 722994620718 841968419064 963992827624 1445989241436 1683936838128 1927985655248 2771479379419 2891978482872 5542958758838 5783956965744 8314438138257 11085917517676 16628876276514 22171835035352 33257752553028 44343670070704 66515505106056 133031010212112