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31132121020 = 225711131555051
BaseRepresentation
bin11100111111100111…
…100111011110111100
32222100122120121110021
4130333213213132330
51002224310333040
622145113221524
72151324443140
oct347747473674
988318517407
1031132121020
11122262a8340
12604a1018a4
132c21ab12b0
141714949220
15c2320724a
hex73f9e77bc

31132121020 has 96 divisors (see below), whose sum is σ = 87779575296. Its totient is φ = 8957088000.

The previous prime is 31132121011. The next prime is 31132121023. The reversal of 31132121020 is 2012123113.

It is a junction number, because it is equal to n+sod(n) for n = 31132120985 and 31132121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132121023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757506 + ... + 797545.

It is an arithmetic number, because the mean of its divisors is an integer number (914370576).

Almost surely, 231132121020 is an apocalyptic number.

It is an amenable number.

31132121020 is an abundant number, since it is smaller than the sum of its proper divisors (56647454276).

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

31132121020 is a wasteful number, since it uses less digits than its factorization.

31132121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555091 (or 1555089 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31132121020 its reverse (2012123113), we get a palindrome (33144244133).

The spelling of 31132121020 in words is "thirty-one billion, one hundred thirty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 1555051 3110102 6220204 7775255 10885357 15550510 17105561 20215663 21770714 31101020 34211122 40431326 43541428 54426785 68422244 80862652 85527805 101078315 108853570 119738927 141509641 171055610 202156630 217707140 222372293 239477854 283019282 342111220 404313260 444744586 478955708 566038564 598694635 707548205 889489172 1111861465 1197389270 1415096410 1556606051 2223722930 2394778540 2830192820 3113212102 4447445860 6226424204 7783030255 15566060510 31132121020