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31113212310 = 232519293137547
BaseRepresentation
bin11100111110011111…
…011111000110010110
32222022022222221120200
4130332133133012112
51002204440243220
622143200041330
72151004640535
oct347637370626
988268887520
1031113212310
1112216662a04
126043903246
132c1abc07cb
14171222631c
15c2171e890
hex73e7df196

31113212310 has 384 divisors, whose sum is σ = 93558067200. Its totient is φ = 7132769280.

The previous prime is 31113212309. The next prime is 31113212323. The reversal of 31113212310 is 1321231113.

31113212310 is a `hidden beast` number, since 3 + 111 + 321 + 231 + 0 = 666.

It is a super-2 number, since 2×311132123102 (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 a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 56879457 + ... + 56880003.

It is an arithmetic number, because the mean of its divisors is an integer number (243640800).

Almost surely, 231113212310 is an apocalyptic number.

31113212310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31113212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46779033600).

31113212310 is an abundant number, since it is smaller than the sum of its proper divisors (62444854890).

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

31113212310 is a wasteful number, since it uses less digits than its factorization.

31113212310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31113212310 its reverse (1321231113), we get a palindrome (32434443423).

The spelling of 31113212310 in words is "thirty-one billion, one hundred thirteen million, two hundred twelve thousand, three hundred ten".