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1103385671874 = 2321752312775399
BaseRepresentation
bin10000000011100110111…
…010010011100011000010
310220111000211210201102100
4100003212322103203002
5121034213212444444
62202515520131230
7142500632315013
oct20034672234302
93814024721370
101103385671874
11395a414a0422
12159a15766b16
1380083355505
143b592dc500a
151da7cd27e69
hex100e6e938c2

1103385671874 has 96 divisors (see below), whose sum is σ = 2538592617600. Its totient is φ = 345163838976.

The previous prime is 1103385671873. The next prime is 1103385671879. The reversal of 1103385671874 is 4781765833011.

1103385671874 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 3 + 8 + 567 + 1 + 8 + 74 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1103385671874.

It is not an unprimeable number, because it can be changed into a prime (1103385671873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204365827 + ... + 204371225.

It is an arithmetic number, because the mean of its divisors is an integer number (26443673100).

Almost surely, 21103385671874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103385671874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269296308800).

1103385671874 is an abundant number, since it is smaller than the sum of its proper divisors (1435206945726).

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

1103385671874 is a wasteful number, since it uses less digits than its factorization.

1103385671874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7224 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1103385671874 in words is "one trillion, one hundred three billion, three hundred eighty-five million, six hundred seventy-one thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 523 1046 1277 1569 2554 3138 3831 4707 5399 7662 8891 9414 10798 11493 16197 17782 21709 22986 26673 32394 43418 48591 53346 65127 80019 91783 97182 130254 160038 183566 195381 275349 390762 550698 667871 826047 1335742 1652094 2003613 2823677 4007226 5647354 6010839 6894523 8471031 11353807 12021678 13789046 16942062 20683569 22707614 25413093 34061421 41367138 48002509 50826186 62050707 68122842 96005018 102184263 117206891 124101414 144007527 204368526 234413782 288015054 351620673 432022581 703241346 864045162 1054862019 2109724038 3605835529 7211671058 10817506587 21635013174 32452519761 61299203993 64905039522 122598407986 183897611979 367795223958 551692835937 1103385671874