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31033022112 = 2532562319163
BaseRepresentation
bin11100111001101101…
…100101011010100000
32222002202002212022100
4130321231211122200
51002023423201422
622131213210400
72146012223061
oct347155453240
988082085270
1031033022112
1112185371914
126020a90a00
132c073c49a1
141705710568
15c1967e7ac
hex739b656a0

31033022112 has 72 divisors (see below), whose sum is σ = 88270457184. Its totient is φ = 10341961344.

The previous prime is 31033022093. The next prime is 31033022117. The reversal of 31033022112 is 21122033013.

31033022112 is a `hidden beast` number, since 310 + 330 + 2 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×310330221122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31033022117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1609843 + ... + 1629005.

It is an arithmetic number, because the mean of its divisors is an integer number (1225978572).

Almost surely, 231033022112 is an apocalyptic number.

31033022112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31033022112 is an abundant number, since it is smaller than the sum of its proper divisors (57237435072).

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

31033022112 is a wasteful number, since it uses less digits than its factorization.

31033022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24802 (or 24791 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31033022112 its reverse (21122033013), we get a palindrome (52155055125).

The spelling of 31033022112 in words is "thirty-one billion, thirty-three million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5623 11246 16869 19163 22492 33738 38326 44984 50607 57489 67476 76652 89968 101214 114978 134952 153304 172467 179936 202428 229956 269904 306608 344934 404856 459912 539808 613216 689868 809712 919824 1379736 1619424 1839648 2759472 5518944 107753549 215507098 323260647 431014196 646521294 862028392 969781941 1293042588 1724056784 1939563882 2586085176 3448113568 3879127764 5172170352 7758255528 10344340704 15516511056 31033022112