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100348952109 = 37163179199823
BaseRepresentation
bin101110101110101000…
…0110111111000101101
3100121000111020221112220
41131131100313320231
53121003312431414
6114033310145553
710151512006410
oct1353520677055
9317014227486
10100348952109
1139615404a7a
12175467b22b9
139602bb9993
144bdd537b77
152924bb7ca9
hex175d437e2d

100348952109 has 64 divisors (see below), whose sum is σ = 155676672000. Its totient is φ = 56318784192.

The previous prime is 100348952107. The next prime is 100348952149. The reversal of 100348952109 is 901259843001.

It is not a de Polignac number, because 100348952109 - 21 = 100348952107 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100348952107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121930272 + ... + 121931094.

It is an arithmetic number, because the mean of its divisors is an integer number (2432448000).

Almost surely, 2100348952109 is an apocalyptic number.

It is an amenable number.

100348952109 is a deficient number, since it is larger than the sum of its proper divisors (55327719891).

100348952109 is a wasteful number, since it uses less digits than its factorization.

100348952109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 100348952109 in words is "one hundred billion, three hundred forty-eight million, nine hundred fifty-two thousand, one hundred nine".

Divisors: 1 3 7 21 163 179 199 489 537 597 823 1141 1253 1393 2469 3423 3759 4179 5761 17283 29177 32437 35621 87531 97311 106863 134149 147317 163777 204239 227059 249347 402447 441951 491331 612717 681177 748041 939043 1031219 1146439 2817129 3093657 3439317 5806223 17418669 24012671 26695651 29316083 40643561 72038013 80086953 87948249 121930683 168088697 186869557 205212581 504266091 560608671 615637743 4778521529 14335564587 33449650703 100348952109