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100328800468 = 221317948722133
BaseRepresentation
bin101110101110000010…
…0000000000011010100
3100120222002100010200211
41131130010000003110
53120433133103333
6114031310215204
710151145506311
oct1353404000324
9316862303624
10100328800468
1139604aa0826
121753bab4504
1395cb982530
144bda9add08
152923036ecd
hex175c1000d4

100328800468 has 48 divisors (see below), whose sum is σ = 190536554880. Its totient is φ = 45950281344.

The previous prime is 100328800459. The next prime is 100328800469. The reversal of 100328800468 is 864008823001.

It is a self number, because there is not a number n which added to its sum of digits gives 100328800468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100328800469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4521930 + ... + 4544062.

It is an arithmetic number, because the mean of its divisors is an integer number (3969511560).

Almost surely, 2100328800468 is an apocalyptic number.

It is an amenable number.

100328800468 is a deficient number, since it is larger than the sum of its proper divisors (90207754412).

100328800468 is a wasteful number, since it uses less digits than its factorization.

100328800468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22816 (or 22814 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 100328800468 in words is "one hundred billion, three hundred twenty-eight million, eight hundred thousand, four hundred sixty-eight".

Divisors: 1 2 4 13 26 52 179 358 487 716 974 1948 2327 4654 6331 9308 12662 22133 25324 44266 87173 88532 174346 287729 348692 575458 1133249 1150916 2266498 3961807 4532996 7923614 10778771 15847228 21557542 43115084 51503491 103006982 140124023 206013964 280248046 560496092 1929400009 3858800018 7717600036 25082200117 50164400234 100328800468