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31144331130 = 23511263358847
BaseRepresentation
bin11101000000010110…
…001100011101111010
32222101111112221120120
4131000112030131322
51002240422044010
622150231034110
72151533306133
oct350026143572
988344487516
1031144331130
1112232187a40
12605220b936
132c24497b03
141716406c8a
15c24319e70
hex74058c77a

31144331130 has 64 divisors (see below), whose sum is σ = 81851793408. Its totient is φ = 7521412160.

The previous prime is 31144331089. The next prime is 31144331131. The reversal of 31144331130 is 3113344113.

It is a self number, because there is not a number n which added to its sum of digits gives 31144331130.

It is not an unprimeable number, because it can be changed into a prime (31144331131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92634 + ... + 266213.

It is an arithmetic number, because the mean of its divisors is an integer number (1278934272).

Almost surely, 231144331130 is an apocalyptic number.

31144331130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31144331130 is an abundant number, since it is smaller than the sum of its proper divisors (50707462278).

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

31144331130 is a wasteful number, since it uses less digits than its factorization.

31144331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359131.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31144331130 its reverse (3113344113), we get a palindrome (34257675243).

The spelling of 31144331130 in words is "thirty-one billion, one hundred forty-four million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 263 330 526 789 1315 1578 2630 2893 3945 5786 7890 8679 14465 17358 28930 43395 86790 358847 717694 1076541 1794235 2153082 3588470 3947317 5382705 7894634 10765410 11841951 19736585 23683902 39473170 59209755 94376761 118419510 188753522 283130283 471883805 566260566 943767610 1038144371 1415651415 2076288742 2831302830 3114433113 5190721855 6228866226 10381443710 15572165565 31144331130