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131122300213302 = 234319971039924473
BaseRepresentation
bin11101110100000101001010…
…001000000101100000110110
3122012021011120112212021012120
4131310011022020011200312
5114141301432323311202
61142512430402300410
736422162556133236
oct3564051210054066
9565234515767176
10131122300213302
1138863723134572
1212858469057706
135821a1a456338
1424544d3233cc6
151025bd2bca0bc
hex77414a205836

131122300213302 has 64 divisors (see below), whose sum is σ = 268514474342400. Its totient is φ = 42663757296384.

The previous prime is 131122300213301. The next prime is 131122300213327. The reversal of 131122300213302 is 203312003221131.

It is a super-2 number, since 2×1311223002133022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122300213301) 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, 5357822938 + ... + 5357847410.

It is an arithmetic number, because the mean of its divisors is an integer number (4195538661600).

Almost surely, 2131122300213302 is an apocalyptic number.

131122300213302 is an abundant number, since it is smaller than the sum of its proper divisors (137392174129098).

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

131122300213302 is a wasteful number, since it uses less digits than its factorization.

131122300213302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36917.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131122300213302 its reverse (203312003221131), we get a palindrome (334434303434433).

The spelling of 131122300213302 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, three hundred million, two hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 43 86 129 258 1997 3994 5991 10399 11982 20798 24473 31197 48946 62394 73419 85871 146838 171742 257613 447157 515226 894314 1052339 1341471 2104678 2682942 3157017 6314034 20766803 41533606 48872581 62300409 97745162 124600818 146617743 254494727 293235486 508989454 763484181 892972529 1526968362 1785945058 2101520983 2678917587 4203041966 5357835174 6304562949 10943273261 12609125898 21886546522 32829819783 65659639566 508225969819 1016451939638 1524677909457 3049355818914 21853716702217 43707433404434 65561150106651 131122300213302