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2133033231312 = 2432431901181211
BaseRepresentation
bin11111000010100010101…
…100000010001111010000
321112220201202100012201100
4133002202230002033100
5234421423001400222
64311522452504400
7310051360212264
oct37024254021720
97486652305640
102133033231312
11752683718555
122a549061b100
131261b4987119
147534cb320a4
153a74229b4ac
hex1f0a2b023d0

2133033231312 has 120 divisors (see below), whose sum is σ = 6111603751968. Its totient is φ = 694106784000.

The previous prime is 2133033231311. The next prime is 2133033231317. The reversal of 2133033231312 is 2131323303312.

2133033231312 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 332 + 313 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133033231311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11680387 + ... + 11861597.

Almost surely, 22133033231312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133033231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055801875984).

2133033231312 is an abundant number, since it is smaller than the sum of its proper divisors (3978570520656).

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

2133033231312 is a wasteful number, since it uses less digits than its factorization.

2133033231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183169 (or 183160 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2133033231312 its reverse (2131323303312), we get a palindrome (4264356534624).

The spelling of 2133033231312 in words is "two trillion, one hundred thirty-three billion, thirty-three million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1901 2064 3096 3802 5703 6192 7604 11406 15208 17109 22812 30416 34218 45624 68436 81743 91248 136872 163486 181211 245229 273744 326972 362422 490458 543633 653944 724844 735687 980916 1087266 1307888 1449688 1471374 1630899 1961832 2174532 2899376 2942748 3261798 3923664 4349064 5885496 6523596 7792073 8698128 11770992 13047192 15584146 23376219 26094384 31168292 46752438 62336584 70128657 93504876 124673168 140257314 187009752 280514628 344482111 374019504 561029256 688964222 1033446333 1122058512 1377928444 2066892666 2755856888 3100338999 4133785332 5511713776 6200677998 8267570664 12401355996 14812730773 16535141328 24802711992 29625461546 44438192319 49605423984 59250923092 88876384638 118501846184 133314576957 177752769276 237003692368 266629153914 355505538552 533258307828 711011077104 1066516615656 2133033231312