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316075475100 = 2235272114214643
BaseRepresentation
bin1001001100101111001…
…00010000000010011100
31010012211211202202220210
410212113210100002130
520134310310200400
6401111510212420
731556434131600
oct4462744200234
91105754682823
10316075475100
11112057402710
1251311054110
1323a6241c758
141142611d500
15834db12950
hex499791009c

316075475100 has 432 divisors, whose sum is σ = 1163537778816. Its totient is φ = 65507904000.

The previous prime is 316075475033. The next prime is 316075475113. The reversal of 316075475100 is 1574570613.

It is a super-3 number, since 3×3160754751003 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68073379 + ... + 68078021.

It is an arithmetic number, because the mean of its divisors is an integer number (2693374488).

Almost surely, 2316075475100 is an apocalyptic number.

316075475100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316075475100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581768889408).

316075475100 is an abundant number, since it is smaller than the sum of its proper divisors (847462303716).

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

316075475100 is a wasteful number, since it uses less digits than its factorization.

316075475100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 316075475100 in words is "three hundred sixteen billion, seventy-five million, four hundred seventy-five thousand, one hundred".