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100313023230 = 232573721071087
BaseRepresentation
bin101110101101100011…
…1110100001011111110
3100120220222122120101200
41131123013310023332
53120420113220410
6114025544120330
710150564425450
oct1353307641376
9316828576350
10100313023230
11395a70a5092
12175367660a6
1395c861a1a4
144bd88642d0
15292196c3c0
hex175b1f42fe

100313023230 has 288 divisors, whose sum is σ = 309494255616. Its totient is φ = 22080169728.

The previous prime is 100313023171. The next prime is 100313023253. The reversal of 100313023230 is 32320313001.

100313023230 is a `hidden beast` number, since 10 + 0 + 31 + 302 + 323 + 0 = 666.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 92283747 + ... + 92284833.

It is an arithmetic number, because the mean of its divisors is an integer number (1074632832).

Almost surely, 2100313023230 is an apocalyptic number.

100313023230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100313023230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154747127808).

100313023230 is an abundant number, since it is smaller than the sum of its proper divisors (209181232386).

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

100313023230 is a wasteful number, since it uses less digits than its factorization.

100313023230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100313023230 its reverse (32320313001), we get a palindrome (132633336231).

The spelling of 100313023230 in words is "one hundred billion, three hundred thirteen million, twenty-three thousand, two hundred thirty".