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31012022112 = 2531471219607
BaseRepresentation
bin11100111000011101…
…011110011101100000
32222001021120221201120
4130320131132131200
51002003034201422
622125143132240
72145335560431
oct347035363540
988037527646
1031012022112
1112174529245
126015a44080
132c02c51356
141702a05488
15c178d245c
hex73875e760

31012022112 has 48 divisors (see below), whose sum is σ = 81462269952. Its totient is φ = 10330266240.

The previous prime is 31012022099. The next prime is 31012022161. The reversal of 31012022112 is 21122021013.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×310120221124 (a number of 43 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31012022091 and 31012022100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31413 + ... + 251019.

It is an arithmetic number, because the mean of its divisors is an integer number (1697130624).

Almost surely, 231012022112 is an apocalyptic number.

31012022112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31012022112 is an abundant number, since it is smaller than the sum of its proper divisors (50450247840).

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

31012022112 is a wasteful number, since it uses less digits than its factorization.

31012022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221091 (or 221083 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31012022112 its reverse (21122021013), we get a palindrome (52134043125).

The spelling of 31012022112 in words is "thirty-one billion, twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1471 2942 4413 5884 8826 11768 17652 23536 35304 47072 70608 141216 219607 439214 658821 878428 1317642 1756856 2635284 3513712 5270568 7027424 10541136 21082272 323041897 646083794 969125691 1292167588 1938251382 2584335176 3876502764 5168670352 7753005528 10337340704 15506011056 31012022112