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100313001324 = 223225031113253
BaseRepresentation
bin101110101101100011…
…1101110110101101100
3100120220222121110100100
41131123013232311230
53120420112020244
6114025543431100
710150564304544
oct1353307566554
9316828543310
10100313001324
11395a708a688
1217536755490
1395c8610223
144bd885a324
152921965b69
hex175b1eed6c

100313001324 has 36 divisors (see below), whose sum is σ = 253670509456. Its totient is φ = 33424278048.

The previous prime is 100313001301. The next prime is 100313001359. The reversal of 100313001324 is 423100313001.

100313001324 is a `hidden beast` number, since 10 + 0 + 31 + 300 + 1 + 324 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100313001297 and 100313001306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466519 + ... + 646734.

Almost surely, 2100313001324 is an apocalyptic number.

It is an amenable number.

100313001324 is an abundant number, since it is smaller than the sum of its proper divisors (153357508132).

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

100313001324 is a wasteful number, since it uses less digits than its factorization.

100313001324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115766 (or 1115761 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100313001324 its reverse (423100313001), we get a palindrome (523413314325).

The spelling of 100313001324 in words is "one hundred billion, three hundred thirteen million, one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2503 5006 7509 10012 15018 22527 30036 45054 90108 1113253 2226506 3339759 4453012 6679518 10019277 13359036 20038554 40077108 2786472259 5572944518 8359416777 11145889036 16718833554 25078250331 33437667108 50156500662 100313001324