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23013233100 = 2232521113178813
BaseRepresentation
bin10101011011101100…
…100001000111001100
32012101211110100222200
4111123230201013030
5334112341424400
614323325241500
71443201153024
oct253354410714
965354410880
1023013233100
11983a408710
124563103290
132229a434c0
141184574a84
158ea575b00
hex55bb211cc

23013233100 has 216 divisors, whose sum is σ = 84744961392. Its totient is φ = 5149785600.

The previous prime is 23013233099. The next prime is 23013233107. The reversal of 23013233100 is 133231032.

23013233100 is a `hidden beast` number, since 2 + 30 + 1 + 323 + 310 + 0 = 666.

It is a super-2 number, since 2×230132331002 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23013233107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39294 + ... + 218106.

Almost surely, 223013233100 is an apocalyptic number.

23013233100 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 23013233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42372480696).

23013233100 is an abundant number, since it is smaller than the sum of its proper divisors (61731728292).

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

23013233100 is a wasteful number, since it uses less digits than its factorization.

23013233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178857 (or 178847 counting only the distinct ones).

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

Adding to 23013233100 its reverse (133231032), we get a palindrome (23146464132).

The spelling of 23013233100 in words is "twenty-three billion, thirteen million, two hundred thirty-three thousand, one hundred".