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100095505050 = 23523671181777
BaseRepresentation
bin101110100111000101…
…0000011001010011010
3100120100211100111112210
41131032022003022122
53114443422130200
6113552214015550
710142313516612
oct1351612031232
9316324314483
10100095505050
11394a53374a2
12174959475b6
13959253b2c8
144bb7a01a42
15290c802650
hex174e28329a

100095505050 has 48 divisors (see below), whose sum is σ = 248305839552. Its totient is φ = 26684716800.

The previous prime is 100095505001. The next prime is 100095505087. The reversal of 100095505050 is 50505590001.

It is a super-2 number, since 2×1000955050502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100095504999 and 100095505017.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 459762 + ... + 641538.

It is an arithmetic number, because the mean of its divisors is an integer number (5173038324).

Almost surely, 2100095505050 is an apocalyptic number.

100095505050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100095505050 is an abundant number, since it is smaller than the sum of its proper divisors (148210334502).

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

100095505050 is a wasteful number, since it uses less digits than its factorization.

100095505050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185463 (or 185458 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 30.

The spelling of 100095505050 in words is "one hundred billion, ninety-five million, five hundred five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 3671 7342 11013 18355 22026 36710 55065 91775 110130 181777 183550 275325 363554 545331 550650 908885 1090662 1817770 2726655 4544425 5453310 9088850 13633275 27266550 667303367 1334606734 2001910101 3336516835 4003820202 6673033670 10009550505 16682584175 20019101010 33365168350 50047752525 100095505050