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22131303201 = 327273687457
BaseRepresentation
bin10100100111001000…
…001110001100100001
32010010100221200121100
4110213020032030201
5330311103200301
614100022345013
71412301654600
oct244710161441
963110850540
1022131303201
1194275a8727
12435788b169
1321191059a7
1410dd39da37
15897e18286
hex52720e321

22131303201 has 36 divisors (see below), whose sum is σ = 37696071972. Its totient is φ = 12473201664.

The previous prime is 22131303197. The next prime is 22131303269. The reversal of 22131303201 is 10230313122.

22131303201 is a `hidden beast` number, since 2 + 213 + 130 + 320 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5855922576 + 16275380625 = 76524^2 + 127575^2 .

It is not a de Polignac number, because 22131303201 - 22 = 22131303197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22131303101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311536 + ... + 375921.

Almost surely, 222131303201 is an apocalyptic number.

22131303201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22131303201 is a deficient number, since it is larger than the sum of its proper divisors (15564768771).

22131303201 is a wasteful number, since it uses less digits than its factorization.

22131303201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687550 (or 687540 counting only the distinct ones).

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

Adding to 22131303201 its reverse (10230313122), we get a palindrome (32361616323).

The spelling of 22131303201 in words is "twenty-two billion, one hundred thirty-one million, three hundred three thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 1533 3577 4599 10731 32193 687457 2062371 4812199 6187113 14436597 33685393 43309791 50184361 101056179 150553083 303168537 351290527 451659249 1053871581 2459033689 3161614743 7377101067 22131303201