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320100113400 = 233521363339133
BaseRepresentation
bin1001010100001110111…
…01000001101111111000
31010121020022211120202120
410222013131001233320
520221031112112100
6403015120201240
732061244033134
oct4520735015770
91117208746676
10320100113400
11113832194a71
1252054a69220
1324254189832
14116c88483c4
1584d71030a0
hex4a87741bf8

320100113400 has 96 divisors (see below), whose sum is σ = 992408498160. Its totient is φ = 85351587840.

The previous prime is 320100113387. The next prime is 320100113413. The reversal of 320100113400 is 4311001023.

320100113400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (320100113387) and next prime (320100113413).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 320100113400.

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, 8160234 + ... + 8199366.

Almost surely, 2320100113400 is an apocalyptic number.

320100113400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320100113400 is an abundant number, since it is smaller than the sum of its proper divisors (672308384760).

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

320100113400 is a wasteful number, since it uses less digits than its factorization.

320100113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52785 (or 52776 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 320100113400 its reverse (4311001023), we get a palindrome (324411114423).

The spelling of 320100113400 in words is "three hundred twenty billion, one hundred million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 13633 27266 39133 40899 54532 68165 78266 81798 109064 117399 136330 156532 163596 195665 204495 234798 272660 313064 327192 340825 391330 408990 469596 545320 586995 681650 782660 817980 939192 978325 1022475 1173990 1363300 1565320 1635960 1956650 2044950 2347980 2726600 2934975 3913300 4089900 4695960 5869950 7826600 8179800 11739900 23479800 533500189 1067000378 1600500567 2134000756 2667500945 3201001134 4268001512 5335001890 6402002268 8002502835 10670003780 12804004536 13337504725 16005005670 21340007560 26675009450 32010011340 40012514175 53350018900 64020022680 80025028350 106700037800 160050056700 320100113400