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31311222012 = 223271796531063
BaseRepresentation
bin11101001010010010…
…110101010011111100
32222211010120212211100
4131022102311103330
51003111133101022
622214552053100
72155630665360
oct351222652374
988733525740
1031311222012
1112308406594
12609a094190
132c4cc2bc05
14173064b2a0
15c33cd41ac
hex74a4b54fc

31311222012 has 144 divisors (see below), whose sum is σ = 91184970240. Its totient is φ = 8874105984.

The previous prime is 31311221993. The next prime is 31311222043. The reversal of 31311222012 is 21022211313.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29454993 + ... + 29456055.

It is an arithmetic number, because the mean of its divisors is an integer number (633228960).

Almost surely, 231311222012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31311222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45592485120).

31311222012 is an abundant number, since it is smaller than the sum of its proper divisors (59873748228).

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

31311222012 is a wasteful number, since it uses less digits than its factorization.

31311222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31311222012 its reverse (21022211313), we get a palindrome (52333433325).

The spelling of 31311222012 in words is "thirty-one billion, three hundred eleven million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 358 537 653 716 1063 1074 1253 1306 1611 1959 2126 2148 2506 2612 3189 3222 3759 3918 4252 4571 5012 5877 6378 6444 7441 7518 7836 9142 9567 11277 11754 12756 13713 14882 15036 18284 19134 22323 22554 23508 27426 29764 38268 41139 44646 45108 54852 66969 82278 89292 116887 133938 164556 190277 233774 267876 350661 380554 467548 570831 694139 701322 761108 818209 1051983 1141662 1331939 1388278 1402644 1636418 1712493 2082417 2103966 2283324 2454627 2663878 2776556 3272836 3424986 3995817 4164834 4207932 4858973 4909254 5327756 6247251 6849972 7363881 7991634 8329668 9717946 9818508 11987451 12494502 14576919 14727762 15983268 19435892 23974902 24989004 29153838 29455524 43730757 47949804 58307676 87461514 124250881 174923028 248501762 372752643 497003524 745505286 869756167 1118257929 1491010572 1739512334 2236515858 2609268501 3479024668 4473031716 5218537002 7827805503 10437074004 15655611006 31311222012