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210031164640 = 25511119335889
BaseRepresentation
bin1100001110011011010…
…1010011110011100000
3202002010102200122110201
43003212311103303200
511420120434232030
6240253104434544
721113524304653
oct3034665236340
9662112618421
10210031164640
118108a131710
1234857018a54
1316a625cb75b
14a24643789a
1556e3e3b2ca
hex30e6d53ce0

210031164640 has 48 divisors (see below), whose sum is σ = 541307597040. Its totient is φ = 76374968320.

The previous prime is 210031164559. The next prime is 210031164689. The reversal of 210031164640 is 46461130012.

210031164640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2100311646402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210031164599 and 210031164608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59666185 + ... + 59669704.

It is an arithmetic number, because the mean of its divisors is an integer number (11277241605).

Almost surely, 2210031164640 is an apocalyptic number.

210031164640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210031164640 is an abundant number, since it is smaller than the sum of its proper divisors (331276432400).

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

210031164640 is a wasteful number, since it uses less digits than its factorization.

210031164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119335915 (or 119335907 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 210031164640 its reverse (46461130012), we get a palindrome (256492294652).

The spelling of 210031164640 in words is "two hundred ten billion, thirty-one million, one hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 119335889 238671778 477343556 596679445 954687112 1193358890 1312694779 1909374224 2386717780 2625389558 3818748448 4773435560 5250779116 6563473895 9546871120 10501558232 13126947790 19093742240 21003116464 26253895580 42006232928 52507791160 105015582320 210031164640