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21331000203300 = 22325223701111337
BaseRepresentation
bin1001101100110100000101…
…01100001001100000100100
32210112020001002011110020200
410312122002230021200210
510243441342023001200
6113211154243430500
74331054033050614
oct466320254114044
983466032143220
1021331000203300
116884476575857
122486110985430
13bb9673a51b28
1453a5d6a12a44
1526ed05606800
hex136682b09824

21331000203300 has 54 divisors (see below), whose sum is σ = 66860835084498. Its totient is φ = 5688266720640.

The previous prime is 21331000203299. The next prime is 21331000203319. The reversal of 21331000203300 is 330200013312.

21331000203300 is a `hidden beast` number, since 2 + 1 + 3 + 310 + 0 + 0 + 20 + 330 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3141252880164 + 18189747323136 = 1772358^2 + 4264944^2 .

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 11850554769 + ... + 11850556568.

Almost surely, 221331000203300 is an apocalyptic number.

21331000203300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21331000203300 is an abundant number, since it is smaller than the sum of its proper divisors (45529834881198).

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

21331000203300 is a wasteful number, since it uses less digits than its factorization.

21331000203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23701111357 (or 23701111347 counting only the distinct ones).

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

Adding to 21331000203300 its reverse (330200013312), we get a palindrome (21661200216612).

The spelling of 21331000203300 in words is "twenty-one trillion, three hundred thirty-one billion, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 23701111337 47402222674 71103334011 94804445348 118505556685 142206668022 213310002033 237011113370 284413336044 355516670055 426620004066 474022226740 592527783425 711033340110 853240008132 1066550010165 1185055566850 1422066680220 1777583350275 2133100020330 2370111133700 3555166700550 4266200040660 5332750050825 7110333401100 10665500101650 21331000203300