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2313254634600 = 23352713306113841
BaseRepresentation
bin100001101010011000101…
…110001000010001101000
322012010220200201002011210
4201222120232020101220
5300400021141301400
64530410002553120
7326061414652110
oct41523056102150
98163820632153
102313254634600
11812055a31258
123143a83687a0
1313a1a643aa20
147dd680c2040
154028e13a950
hex21a98b88468

2313254634600 has 384 divisors, whose sum is σ = 8829477377280. Its totient is φ = 487876608000.

The previous prime is 2313254634583. The next prime is 2313254634617. The reversal of 2313254634600 is 64364523132.

It is an interprime number because it is at equal distance from previous prime (2313254634583) and next prime (2313254634617).

It is a super-2 number, since 2×23132546346002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167123680 + ... + 167137520.

It is an arithmetic number, because the mean of its divisors is an integer number (22993430670).

Almost surely, 22313254634600 is an apocalyptic number.

2313254634600 is a gapful number since it is divisible by the number (20) 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 2313254634600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414738688640).

2313254634600 is an abundant number, since it is smaller than the sum of its proper divisors (6516222742680).

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

2313254634600 is a wasteful number, since it uses less digits than its factorization.

2313254634600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16941 (or 16932 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 2313254634600 in words is "two trillion, three hundred thirteen billion, two hundred fifty-four million, six hundred thirty-four thousand, six hundred".