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100332122320 = 2455039072749
BaseRepresentation
bin101110101110001000…
…0101011000011010000
3100120222022120220102101
41131130100223003100
53120440010403240
6114031505330144
710151215653103
oct1353420530320
9316868526371
10100332122320
113960695a561
1217541036954
1395cc576521
144bdb1d673a
15292349139a
hex175c42b0d0

100332122320 has 80 divisors (see below), whose sum is σ = 234078768000. Its totient is φ = 39994348032.

The previous prime is 100332122273. The next prime is 100332122381. The reversal of 100332122320 is 23221233001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36496306 + ... + 36499054.

It is an arithmetic number, because the mean of its divisors is an integer number (2925984600).

Almost surely, 2100332122320 is an apocalyptic number.

100332122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100332122320 is an abundant number, since it is smaller than the sum of its proper divisors (133746645680).

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

100332122320 is a wasteful number, since it uses less digits than its factorization.

100332122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 100332122320 its reverse (23221233001), we get a palindrome (123553355321).

The spelling of 100332122320 in words is "one hundred billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 503 907 1006 1814 2012 2515 2749 3628 4024 4535 5030 5498 7256 8048 9070 10060 10996 13745 14512 18140 20120 21992 27490 36280 40240 43984 54980 72560 109960 219920 456221 912442 1382747 1824884 2281105 2493343 2765494 3649768 4562210 4986686 5530988 6913735 7299536 9124420 9973372 11061976 12466715 13827470 18248840 19946744 22123952 24933430 27654940 36497680 39893488 49866860 55309880 99733720 110619760 199467440 1254151529 2508303058 5016606116 6270757645 10033212232 12541515290 20066424464 25083030580 50166061160 100332122320