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31102221120 = 2635115328099
BaseRepresentation
bin11100111101110101…
…100011101101000000
32222021120022112111120
4130331311203231000
51002144132033440
622142124312240
72150512342335
oct347565435500
988246275446
1031102221120
1112210436083
1260400a2680
132c18842a49
1417109a498c
15c2079cdd0
hex73dd63b40

31102221120 has 112 divisors (see below), whose sum is σ = 98838715200. Its totient is φ = 8286437376.

The previous prime is 31102221091. The next prime is 31102221121. The reversal of 31102221120 is 2112220113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31102221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31102221121) 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, 1092831 + ... + 1120929.

Almost surely, 231102221120 is an apocalyptic number.

31102221120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31102221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49419357600).

31102221120 is an abundant number, since it is smaller than the sum of its proper divisors (67736494080).

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

31102221120 is a wasteful number, since it uses less digits than its factorization.

31102221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29272 (or 29262 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31102221120 its reverse (2112220113), we get a palindrome (33214441233).

The spelling of 31102221120 in words is "thirty-one billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1153 2306 3459 4612 5765 6918 9224 11530 13836 17295 18448 23060 27672 28099 34590 36896 46120 55344 56198 69180 73792 84297 92240 110688 112396 138360 140495 168594 184480 221376 224792 276720 280990 337188 368960 421485 449584 553440 561980 674376 842970 899168 1106880 1123960 1348752 1685940 1798336 2247920 2697504 3371880 4495840 5395008 6743760 8991680 13487520 26975040 32398147 64796294 97194441 129592588 161990735 194388882 259185176 323981470 388777764 485972205 518370352 647962940 777555528 971944410 1036740704 1295925880 1555111056 1943888820 2073481408 2591851760 3110222112 3887777640 5183703520 6220444224 7775555280 10367407040 15551110560 31102221120