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31102002023120 = 2457373425934961
BaseRepresentation
bin1110001001001011111111…
…10010000100101011010000
311002010022200222220211122022
413010211333302010223100
513034033400004214440
6150052021255031012
76360021414132650
oct704457762045320
9132108628824568
1031102002023120
119a01315350706
1235a393966b468
131447ba1c1c692
147974b86b8360
1538e07b3dbcb5
hex1c497fc84ad0

31102002023120 has 160 divisors (see below), whose sum is σ = 82885851037440. Its totient is φ = 10632153784320.

The previous prime is 31102002023069. The next prime is 31102002023129. The reversal of 31102002023120 is 2132020020113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31102002023129) 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, 889602440 + ... + 889637400.

It is an arithmetic number, because the mean of its divisors is an integer number (518036568984).

Almost surely, 231102002023120 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 31102002023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41442925518720).

31102002023120 is an abundant number, since it is smaller than the sum of its proper divisors (51783849014320).

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

31102002023120 is a wasteful number, since it uses less digits than its factorization.

31102002023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39613 (or 39607 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31102002023120 its reverse (2132020020113), we get a palindrome (33234022043233).

The spelling of 31102002023120 in words is "thirty-one trillion, one hundred two billion, two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 373 560 746 1492 1865 2611 2984 3730 4259 5222 5968 7460 8518 10444 13055 14920 17036 20888 21295 26110 29813 29840 34072 34961 41776 42590 52220 59626 68144 69922 85180 104440 119252 139844 149065 170360 174805 208880 238504 244727 279688 298130 340720 349610 477008 489454 559376 596260 699220 978908 1192520 1223635 1398440 1588607 1957816 2385040 2447270 2796880 3177214 3915632 4894540 6354428 7943035 9789080 11120249 12708856 13040453 15886070 19578160 22240498 25417712 26080906 31772140 44480996 52161812 55601245 63544280 65202265 88961992 91283171 104323624 111202490 127088560 130404530 148898899 177923984 182566342 208647248 222404980 260809060 297797798 365132684 444809960 456415855 521618120 595595596 730265368 744494495 889619920 912831710 1042292293 1043236240 1191191192 1460530736 1488988990 1825663420 2084584586 2382382384 2977977980 3651326840 4169169172 5211461465 5955955960 7302653680 8338338344 10422922930 11911911920 16676676688 20845845860 41691691720 55539289327 83383383440 111078578654 222157157308 277696446635 388775025289 444314314616 555392893270 777550050578 888628629232 1110785786540 1555100101156 1943875126445 2221571573080 3110200202312 3887750252890 4443143146160 6220400404624 7775500505780 15551001011560 31102002023120