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1031012212120 = 2351141331172663
BaseRepresentation
bin11110000000011010001…
…11011101110110011000
310122120020000101000211221
433000031013131312120
5113343003111241440
62105350201501424
7134326305130432
oct17001507356630
93576200330757
101031012212120
11368282573970
12147997aa1874
13762bb285507
1437c8909b652
151bc44184d4a
hexf00d1ddd98

1031012212120 has 128 divisors (see below), whose sum is σ = 2600236961280. Its totient is φ = 364662144000.

The previous prime is 1031012212093. The next prime is 1031012212129. The reversal of 1031012212120 is 212122101301.

1031012212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1031012212094 and 1031012212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031012212129) 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, 5884909 + ... + 6057571.

It is an arithmetic number, because the mean of its divisors is an integer number (20314351260).

Almost surely, 21031012212120 is an apocalyptic number.

1031012212120 is a gapful number since it is divisible by the number (10) 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 1031012212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300118480640).

1031012212120 is an abundant number, since it is smaller than the sum of its proper divisors (1569224749160).

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

1031012212120 is a wasteful number, since it uses less digits than its factorization.

1031012212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173057 (or 173053 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1031012212120 its reverse (212122101301), we get a palindrome (1243134313421).

The spelling of 1031012212120 in words is "one trillion, thirty-one billion, twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 331 410 440 451 662 820 902 1324 1640 1655 1804 2255 2648 3310 3608 3641 4510 6620 7282 9020 13240 13571 14564 18040 18205 27142 29128 36410 54284 67855 72820 108568 135710 145640 149281 172663 271420 298562 345326 542840 597124 690652 746405 863315 1194248 1381304 1492810 1726630 1899293 2985620 3453260 3798586 5971240 6906520 7079183 7597172 9496465 14158366 15194344 18992930 28316732 35395915 37985860 56633464 57151453 70791830 75971720 77871013 114302906 141583660 155742026 228605812 283167320 285757265 311484052 389355065 457211624 571514530 622968104 628665983 778710130 1143029060 1257331966 1557420260 2286058120 2343209573 2514663932 3114840520 3143329915 4686419146 5029327864 6286659830 9372838292 11716047865 12573319660 18745676584 23432095730 25146639320 25775305303 46864191460 51550610606 93728382920 103101221212 128876526515 206202442424 257753053030 515506106060 1031012212120