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31033122012 = 22323153524669
BaseRepresentation
bin11100111001101101…
…111101110011011100
32222002202021221100100
4130321231331303130
51002023434401022
622131215301100
72146013120244
oct347155756334
988082257310
1031033122012
111218542a982
126020b1a790
132c0742b2b9
141705738b24
15c1969e1ac
hex739b7dcdc

31033122012 has 72 divisors (see below), whose sum is σ = 82503308160. Its totient is φ = 9821784960.

The previous prime is 31033122011. The next prime is 31033122017. The reversal of 31033122012 is 21022133013.

31033122012 is a `hidden beast` number, since 310 + 331 + 2 + 20 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31033122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203187 + ... + 321482.

It is an arithmetic number, because the mean of its divisors is an integer number (1145879280).

Almost surely, 231033122012 is an apocalyptic number.

It is an amenable number.

31033122012 is an abundant number, since it is smaller than the sum of its proper divisors (51470186148).

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

31033122012 is a wasteful number, since it uses less digits than its factorization.

31033122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524763 (or 524758 counting only the distinct ones).

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

Adding to 31033122012 its reverse (21022133013), we get a palindrome (52055255025).

The spelling of 31033122012 in words is "thirty-one billion, thirty-three million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 372 477 558 636 954 1116 1643 1908 3286 4929 6572 9858 14787 19716 29574 59148 524669 1049338 1574007 2098676 3148014 4722021 6296028 9444042 16264739 18888084 27807457 32529478 48794217 55614914 65058956 83422371 97588434 111229828 146382651 166844742 195176868 250267113 292765302 333689484 500534226 585530604 862031167 1001068452 1724062334 2586093501 3448124668 5172187002 7758280503 10344374004 15516561006 31033122012