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31322134140 = 223511101469879
BaseRepresentation
bin11101001010111100…
…011101011001111100
32222211220010021110020
4131022330131121330
51003121431243030
622220022012140
72156122514223
oct351274353174
988756107406
1031322134140
1112313589a80
1260a1877050
132c5227c9ab
141731c8bcba
15c34c3c510
hex74af1d67c

31322134140 has 96 divisors (see below), whose sum is σ = 96622364160. Its totient is φ = 7518048000.

The previous prime is 31322134133. The next prime is 31322134159. The reversal of 31322134140 is 4143122313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31322134140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168280 + ... + 301599.

It is an arithmetic number, because the mean of its divisors is an integer number (1006482960).

Almost surely, 231322134140 is an apocalyptic number.

31322134140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31322134140 is an abundant number, since it is smaller than the sum of its proper divisors (65300230020).

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

31322134140 is a wasteful number, since it uses less digits than its factorization.

31322134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470003 (or 470001 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31322134140 its reverse (4143122313), we get a palindrome (35465256453).

It can be divided in two parts, 313221 and 34140, that added together give a triangular number (347361 = T833).

The spelling of 31322134140 in words is "thirty-one billion, three hundred twenty-two million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 469879 939758 1409637 1879516 2349395 2819274 4698790 5168669 5638548 7048185 9397580 10337338 14096370 15506007 20674676 25843345 28192740 31012014 47457779 51686690 62024028 77530035 94915558 103373380 142373337 155060070 189831116 237288895 284746674 310120140 474577790 522035569 569493348 711866685 949155580 1044071138 1423733370 1566106707 2088142276 2610177845 2847466740 3132213414 5220355690 6264426828 7830533535 10440711380 15661067070 31322134140