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100134601020 = 223253117945269
BaseRepresentation
bin101110101000001111…
…1001100000100111100
3100120110112220210010200
41131100133030010330
53120033424213040
6114000132003500
710143300031206
oct1352037140474
9316415823120
10100134601020
113951540a913
12174a6a60590
13959a67950c
144bbcc9b776
152910e76630
hex17507cc13c

100134601020 has 72 divisors (see below), whose sum is σ = 313539757440. Its totient is φ = 25841185920.

The previous prime is 100134601019. The next prime is 100134601031. The reversal of 100134601020 is 20106431001.

It is a happy number.

100134601020 is a `hidden beast` number, since 10 + 0 + 1 + 34 + 601 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100134600984 and 100134601002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8967055 + ... + 8978214.

Almost surely, 2100134601020 is an apocalyptic number.

100134601020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100134601020 is an abundant number, since it is smaller than the sum of its proper divisors (213405156420).

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

100134601020 is a wasteful number, since it uses less digits than its factorization.

100134601020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17945315 (or 17945310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 100134601020 in words is "one hundred billion, one hundred thirty-four million, six hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 17945269 35890538 53835807 71781076 89726345 107671614 161507421 179452690 215343228 269179035 323014842 358905380 538358070 556303339 646029684 807537105 1076716140 1112606678 1615074210 1668910017 2225213356 2781516695 3230148420 3337820034 5006730051 5563033390 6675640068 8344550085 10013460102 11126066780 16689100170 20026920204 25033650255 33378200340 50067300510 100134601020