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31211911872 = 2633171062497
BaseRepresentation
bin11101000100010111…
…111111101011000000
32222120012201101221000
4131010113333223000
51002410222134442
622201043332000
72153313605421
oct350427775300
988505641830
1031211911872
1112267346399
126070981000
132c3549a40b
141721399648
15c2a218d4c
hex7445ffac0

31211911872 has 112 divisors (see below), whose sum is σ = 97154817120. Its totient is φ = 9791963136.

The previous prime is 31211911837. The next prime is 31211911879. The reversal of 31211911872 is 27811911213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31211911879) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 501873 + ... + 560624.

Almost surely, 231211911872 is an apocalyptic number.

31211911872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31211911872 is an abundant number, since it is smaller than the sum of its proper divisors (65942905248).

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

31211911872 is a wasteful number, since it uses less digits than its factorization.

31211911872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062535 (or 1062519 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The spelling of 31211911872 in words is "thirty-one billion, two hundred eleven million, nine hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 29376 1062497 2124994 3187491 4249988 6374982 8499976 9562473 12749964 16999952 18062449 19124946 25499928 28687419 33999904 36124898 38249892 50999856 54187347 57374838 67999808 72249796 76499784 101999712 108374694 114749676 144499592 152999568 162562041 203999424 216749388 229499352 288999184 305999136 325124082 433498776 458998704 487686123 577998368 611998272 650248164 866997552 917997408 975372246 1155996736 1300496328 1733995104 1835994816 1950744492 2600992656 3467990208 3901488984 5201985312 7802977968 10403970624 15605955936 31211911872