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212300310220131 = 3779241530991049
BaseRepresentation
bin110000010001011000000100…
…100100111000110101100011
31000211200201012122101000010110
4300101120010210320311203
5210311312013404021011
62031305225513502403
762501122412146440
oct6021300444706543
91024621178330113
10212300310220131
1161711068509421
121b989280411a03
13915caaab45c73
143a5d565a189c7
1519826419eaba6
hexc11604938d63

212300310220131 has 32 divisors (see below), whose sum is σ = 328959575296000. Its totient is φ = 119281829022720.

The previous prime is 212300310220111. The next prime is 212300310220181. The reversal of 212300310220131 is 131022013003212.

It is not a de Polignac number, because 212300310220131 - 213 = 212300310211939 is a prime.

It is a super-2 number, since 2×2123003102201312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212300310220098 and 212300310220107.

It is not an unprimeable number, because it can be changed into a prime (212300310220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265095706 + ... + 265895343.

It is an arithmetic number, because the mean of its divisors is an integer number (10279986728000).

Almost surely, 2212300310220131 is an apocalyptic number.

212300310220131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212300310220131 is a deficient number, since it is larger than the sum of its proper divisors (116659265075869).

212300310220131 is a wasteful number, since it uses less digits than its factorization.

212300310220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530991379.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212300310220131 its reverse (131022013003212), we get a palindrome (343322323223343).

The spelling of 212300310220131 in words is "two hundred twelve trillion, three hundred billion, three hundred ten million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 79 237 241 553 723 1659 1687 5061 19039 57117 133273 399819 530991049 1592973147 3716937343 11150812029 41948292871 125844878613 127968842809 293638050097 383906528427 880914150291 895781899663 2687345698989 10109538581911 30328615745733 70766770073377 212300310220131