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13200331310100 = 223252116719900997
BaseRepresentation
bin1100000000010111000100…
…0011110000010000010100
31201201221100210012111210100
43000011301003300100110
53212233234303410400
644024052023454100
72531456341551144
oct300056103602024
951657323174710
1013200331310100
11422a2579900a0
1215923902b7330
13749a2a81876c
14338c8410a924
1517d586c52100
hexc01710f0414

13200331310100 has 216 divisors, whose sum is σ = 45810823732128. Its totient is φ = 3152317766400.

The previous prime is 13200331310029. The next prime is 13200331310113. The reversal of 13200331310100 is 101313300231.

It is a happy number.

13200331310100 is a `hidden beast` number, since 1 + 3 + 20 + 0 + 331 + 310 + 1 + 0 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9287199 + ... + 10613798.

It is an arithmetic number, because the mean of its divisors is an integer number (212087146908).

Almost surely, 213200331310100 is an apocalyptic number.

13200331310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200331310100 is an abundant number, since it is smaller than the sum of its proper divisors (32610492422028).

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

13200331310100 is a wasteful number, since it uses less digits than its factorization.

13200331310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19901095 (or 19901085 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13200331310100 its reverse (101313300231), we get a palindrome (13301644610331).

The spelling of 13200331310100 in words is "thirteen trillion, two hundred billion, three hundred thirty-one million, three hundred ten thousand, one hundred".