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103087418985 = 3452311066819
BaseRepresentation
bin110000000000001111…
…1010010111001101001
3100212002100011110220000
41200000133102321221
53142110334401420
6115205133053213
710306413414015
oct1400037227151
9325070143800
10103087418985
113a7a0184741
1217b8b927209
13994b351195
144dbd101545
152a352ea690
hex18007d2e69

103087418985 has 40 divisors (see below), whose sum is σ = 192828271680. Its totient is φ = 52589519136.

The previous prime is 103087418971. The next prime is 103087418999. The reversal of 103087418985 is 589814780301.

103087418985 is a `hidden beast` number, since 10 + 308 + 74 + 189 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (103087418971) and next prime (103087418999).

It is not a de Polignac number, because 103087418985 - 26 = 103087418921 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5524095 + ... + 5542724.

It is an arithmetic number, because the mean of its divisors is an integer number (4820706792).

Almost surely, 2103087418985 is an apocalyptic number.

103087418985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103087418985 is a deficient number, since it is larger than the sum of its proper divisors (89740852695).

103087418985 is a wasteful number, since it uses less digits than its factorization.

103087418985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11066859 (or 11066850 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 103087418985 in words is "one hundred three billion, eighty-seven million, four hundred eighteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 23 27 45 69 81 115 135 207 345 405 621 1035 1863 3105 9315 11066819 33200457 55334095 99601371 166002285 254536837 298804113 498006855 763610511 896412339 1272684185 1494020565 2290831533 3818052555 4482061695 6872494599 11454157665 20617483797 34362472995 103087418985