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970303100312 = 237213239796673
BaseRepresentation
bin11100001111010101001…
…00100101010110011000
310102202112002110121120102
432013222210211112120
5111344140043202222
62021430122514532
7130050005161400
oct16075244452630
93382462417512
10970303100312
11344559893697
12138074665a48
1370664948750
1434d6a37b800
151a38e55ed92
hexe1ea925598

970303100312 has 96 divisors (see below), whose sum is σ = 2288685067200. Its totient is φ = 382249598976.

The previous prime is 970303100311. The next prime is 970303100321. The reversal of 970303100312 is 213001303079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970303100311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819608 + ... + 1616280.

It is an arithmetic number, because the mean of its divisors is an integer number (23840469450).

Almost surely, 2970303100312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970303100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144342533600).

970303100312 is an abundant number, since it is smaller than the sum of its proper divisors (1318381966888).

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

970303100312 is a wasteful number, since it uses less digits than its factorization.

970303100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796945 (or 796934 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 29.

The spelling of 970303100312 in words is "nine hundred seventy billion, three hundred three million, one hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 239 364 392 478 637 728 956 1274 1673 1912 2548 3107 3346 5096 6214 6692 11711 12428 13384 21749 23422 24856 43498 46844 86996 93688 152243 173992 304486 608972 796673 1217944 1593346 3186692 5576711 6373384 10356749 11153422 20713498 22306844 39036977 41426996 44613688 72497243 78073954 82853992 144994486 156147908 190404847 289988972 312295816 380809694 507480701 579977944 761619388 1014961402 1332833929 1523238776 2029922804 2475263011 2665667858 4059845608 4950526022 5331335716 9329837503 9901052044 10662671432 17326841077 18659675006 19802104088 34653682154 37319350012 69307364308 74638700024 121287887539 138614728616 242575775078 485151550156 970303100312