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12110413313000 = 235317837678949
BaseRepresentation
bin1011000000111010110011…
…1000100011001111101000
31120212202002112012120000102
42300032230320203033220
53041404111302004000
641431240322324532
72356643221463102
oct260165470431750
946782075176012
1012110413313000
113949aa7663102
1214370b4ab9748
1369b01270c8a2
142dc20ba30572
1516004645b3d5
hexb03ace233e8

12110413313000 has 64 divisors (see below), whose sum is σ = 28339997634000. Its totient is φ = 4843886611200.

The previous prime is 12110413312997. The next prime is 12110413313023. The reversal of 12110413313000 is 31331401121.

It can be written as a sum of positive squares in 8 ways, for example, as 26293919716 + 12084119393284 = 162154^2 + 3476222^2 .

It is a super-2 number, since 2×121104133130002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17497526 + ... + 18176474.

Almost surely, 212110413313000 is an apocalyptic number.

12110413313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110413313000 is an abundant number, since it is smaller than the sum of its proper divisors (16229584321000).

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

12110413313000 is a wasteful number, since it uses less digits than its factorization.

12110413313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696807 (or 696793 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12110413313000 its reverse (31331401121), we get a palindrome (12141744714121).

The spelling of 12110413313000 in words is "twelve trillion, one hundred ten billion, four hundred thirteen million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 17837 35674 71348 89185 142696 178370 356740 445925 678949 713480 891850 1357898 1783700 2229625 2715796 3394745 3567400 4459250 5431592 6789490 8918500 13578980 16973725 17837000 27157960 33947450 67894900 84868625 135789800 169737250 339474500 678949000 12110413313 24220826626 48441653252 60552066565 96883306504 121104133130 242208266260 302760332825 484416532520 605520665650 1211041331300 1513801664125 2422082662600 3027603328250 6055206656500 12110413313000