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103020436116 = 2235138152931
BaseRepresentation
bin101111111110001111…
…1110001101010010100
3100211220200010101200000
41133330133301222110
53141441212423431
6115154341251300
710304641154463
oct1377437615224
9324820111600
10103020436116
113a7663944a4
1217b71403b30
13993a4caa50
144db42669da
152a2e4b89e6
hex17fc7f1a94

103020436116 has 72 divisors (see below), whose sum is σ = 290831390304. Its totient is φ = 31698591840.

The previous prime is 103020436097. The next prime is 103020436117. The reversal of 103020436116 is 611634020301.

103020436116 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 0 + 43 + 611 + 6 = 666.

It is a super-2 number, since 2×1030204361162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 103020436116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103020436117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4063830 + ... + 4089101.

Almost surely, 2103020436116 is an apocalyptic number.

It is an amenable number.

103020436116 is an abundant number, since it is smaller than the sum of its proper divisors (187810954188).

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

103020436116 is a wasteful number, since it uses less digits than its factorization.

103020436116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152963 (or 8152949 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 103020436116 its reverse (611634020301), we get a palindrome (714654456417).

The spelling of 103020436116 in words is "one hundred three billion, twenty million, four hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 12636 8152931 16305862 24458793 32611724 48917586 73376379 97835172 105988103 146752758 211976206 220129137 293505516 317964309 423952412 440258274 635928618 660387411 880516548 953892927 1271857236 1320774822 1907785854 1981162233 2641549644 2861678781 3815571708 3962324466 5723357562 7924648932 8585036343 11446715124 17170072686 25755109029 34340145372 51510218058 103020436116