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31323112002 = 23271321470983
BaseRepresentation
bin11101001011000000…
…001100001001000010
32222211221221221211100
4131023000030021002
51003122204041002
622220054555230
72156134026150
oct351300141102
988757857740
1031323112002
1112314097726
1260a2068b16
132c52532b00
1417320643d0
15c34d8211c
hex74b00c242

31323112002 has 72 divisors (see below), whose sum is σ = 83987302464. Its totient is φ = 8261034912.

The previous prime is 31323112001. The next prime is 31323112003. The reversal of 31323112002 is 20021132313.

31323112002 is a `hidden beast` number, since 313 + 231 + 120 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (31323112001) and next prime (31323112003).

It is a super-2 number, since 2×313231120022 (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 (31323112001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 714198 + ... + 756785.

It is an arithmetic number, because the mean of its divisors is an integer number (1166490312).

Almost surely, 231323112002 is an apocalyptic number.

31323112002 is an abundant number, since it is smaller than the sum of its proper divisors (52664190462).

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

31323112002 is a wasteful number, since it uses less digits than its factorization.

31323112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471024 (or 1471008 counting only the distinct ones).

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

Adding to 31323112002 its reverse (20021132313), we get a palindrome (51344244315).

It can be divided in two parts, 3132311 and 2002, that added together give a palindrome (3134313).

The spelling of 31323112002 in words is "thirty-one billion, three hundred twenty-three million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 7098 10647 21294 1470983 2941966 4412949 8825898 10296881 13238847 19122779 20593762 26477694 30890643 38245558 57368337 61781286 92671929 114736674 133859453 172105011 185343858 248596127 267718906 344210022 401578359 497192254 745788381 803156718 1204735077 1491576762 1740172889 2237365143 2409470154 3480345778 4474730286 5220518667 10441037334 15661556001 31323112002