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103575545456034 = 231931101928761829
BaseRepresentation
bin10111100011001110001111…
…100110000010010110100010
3111120201201120211220022102110
4113203032033212002112202
5102033440204114043114
61004141540530500150
730550041400100661
oct2743161746022642
9446651524808373
10103575545456034
1130003162223633
12b749774734656
1345a41940a8c92
141b81124230dd8
15be9387005759
hex5e338f9825a2

103575545456034 has 64 divisors (see below), whose sum is σ = 225308671488000. Its totient is φ = 31621904176320.

The previous prime is 103575545456027. The next prime is 103575545456069. The reversal of 103575545456034 is 430654545575301.

It is a super-3 number, since 3×1035755454560343 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10779769 + ... + 17982060.

It is an arithmetic number, because the mean of its divisors is an integer number (3520447992000).

Almost surely, 2103575545456034 is an apocalyptic number.

103575545456034 is an abundant number, since it is smaller than the sum of its proper divisors (121733126031966).

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

103575545456034 is a wasteful number, since it uses less digits than its factorization.

103575545456034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28762903.

The product of its (nonzero) digits is 75600000, while the sum is 57.

The spelling of 103575545456034 in words is "one hundred three trillion, five hundred seventy-five billion, five hundred forty-five million, four hundred fifty-six thousand, thirty-four".

Divisors: 1 2 3 6 19 31 38 57 62 93 114 186 589 1019 1178 1767 2038 3057 3534 6114 19361 31589 38722 58083 63178 94767 116166 189534 600191 1200382 1800573 3601146 28761829 57523658 86285487 172570974 546474751 891616699 1092949502 1639424253 1783233398 2674850097 3278848506 5349700194 16940717281 29308303751 33881434562 50822151843 58616607502 87924911253 101644303686 175849822506 556857771269 908557416281 1113715542538 1670573313807 1817114832562 2725672248843 3341146627614 5451344497686 17262590909339 34525181818678 51787772728017 103575545456034