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100008331920 = 24325719842923
BaseRepresentation
bin101110100100011110…
…1100000101010010000
3100120010202022122111100
41131020331200222100
53114304113110140
6113535421344400
710140204536550
oct1351075405220
9316122278440
10100008331920
1139460106a92
1217470708100
13957a468c83
144baa1cd160
152904d33530
hex1748f60a90

100008331920 has 120 divisors (see below), whose sum is σ = 383841521856. Its totient is φ = 22859046144.

The previous prime is 100008331909. The next prime is 100008331931. The reversal of 100008331920 is 29133800001.

It is an interprime number because it is at equal distance from previous prime (100008331909) and next prime (100008331931).

It is a tau number, because it is divible by the number of its divisors (120).

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, 9916422 + ... + 9926501.

Almost surely, 2100008331920 is an apocalyptic number.

100008331920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100008331920 is an abundant number, since it is smaller than the sum of its proper divisors (283833189936).

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

100008331920 is a wasteful number, since it uses less digits than its factorization.

100008331920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19842949 (or 19842940 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 100008331920 in words is "one hundred billion, eight million, three hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 19842923 39685846 59528769 79371692 99214615 119057538 138900461 158743384 178586307 198429230 238115076 277800922 297643845 317486768 357172614 396858460 416701383 476230152 555601844 595287690 694502305 714345228 793716920 833402766 892931535 952460304 1111203688 1190575380 1250104149 1389004610 1428690456 1587433840 1666805532 1785863070 2083506915 2222407376 2381150760 2500208298 2778009220 2857380912 3333611064 3571726140 4167013830 4762301520 5000416596 5556018440 6250520745 6667222128 7143452280 8334027660 10000833192 11112036880 12501041490 14286904560 16668055320 20001666384 25002082980 33336110640 50004165960 100008331920