Search a number
-
+
31000022112 = 25310116011997
BaseRepresentation
bin11100110111101111…
…101100110001100000
32222000110000021211010
4130313233230301200
51001442001201422
622124034020520
72145131561133
oct346757546140
988013007733
1031000022112
1112168782494
126011a17740
132c0060c367
1417011a021a
15c16811b0c
hex737becc60

31000022112 has 96 divisors (see below), whose sum is σ = 82273260384. Its totient is φ = 10219520000.

The previous prime is 31000022107. The next prime is 31000022143. The reversal of 31000022112 is 21122000013.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×310000221122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15522298 + ... + 15524294.

It is an arithmetic number, because the mean of its divisors is an integer number (857013129).

Almost surely, 231000022112 is an apocalyptic number.

31000022112 is a gapful number since it is divisible by the number (32) 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 31000022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41136630192).

31000022112 is an abundant number, since it is smaller than the sum of its proper divisors (51273238272).

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

31000022112 is a wasteful number, since it uses less digits than its factorization.

31000022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31000022112 its reverse (21122000013), we get a palindrome (52122022125).

The spelling of 31000022112 in words is "thirty-one billion, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1601 1616 1997 2424 3202 3232 3994 4803 4848 5991 6404 7988 9606 9696 11982 12808 15976 19212 23964 25616 31952 38424 47928 51232 63904 76848 95856 153696 161701 191712 201697 323402 403394 485103 605091 646804 806788 970206 1210182 1293608 1613576 1940412 2420364 2587216 3197197 3227152 3880824 4840728 5174432 6394394 6454304 7761648 9591591 9681456 12788788 15523296 19183182 19362912 25577576 38366364 51155152 76732728 102310304 153465456 306930912 322916897 645833794 968750691 1291667588 1937501382 2583335176 3875002764 5166670352 7750005528 10333340704 15500011056 31000022112