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100202307218484 = 223471751910141199
BaseRepresentation
bin10110110010001000101010…
…111011010110110000110100
3111010210020200002001001112120
4112302020222323112300310
5101113203311121442414
6553040145432315540
730051243404133612
oct2662105273266064
9433706602031476
10100202307218484
1129a22618179809
12b2a3a65b42bb0
1343bb063466a53
141aa5b634c06b2
15b8b75a58e2a9
hex5b222aed6c34

100202307218484 has 48 divisors (see below), whose sum is σ = 238793619456000. Its totient is φ = 32688245207776.

The previous prime is 100202307218449. The next prime is 100202307218509. The reversal of 100202307218484 is 484812703202001.

It is a super-2 number, since 2×1002023072184842 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4810117 + ... + 14951315.

It is an arithmetic number, because the mean of its divisors is an integer number (4974867072000).

Almost surely, 2100202307218484 is an apocalyptic number.

It is an amenable number.

100202307218484 is an abundant number, since it is smaller than the sum of its proper divisors (138591312237516).

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

100202307218484 is a wasteful number, since it uses less digits than its factorization.

100202307218484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158772 (or 10158770 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 100202307218484 in words is "one hundred trillion, two hundred two billion, three hundred seven million, two hundred eighteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 17519 35038 52557 70076 105114 210228 823393 1646786 2470179 3293572 4940358 9880716 10141199 20282398 30423597 40564796 60847194 121694388 476636353 953272706 1429909059 1906545412 2859818118 5719636236 177663665281 355327330562 532990995843 710654661124 1065981991686 2131963983372 8350192268207 16700384536414 25050576804621 33400769072828 50101153609242 100202307218484