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131403300321300 = 223527308532028101
BaseRepresentation
bin11101111000001010110111…
…000010011011100000010100
3122020021000212221010202221220
4131320022313002123200110
5114210402424340240200
61143245502014010340
736451401164502510
oct3570126702334024
9566230787122856
10131403300321300
1138961910399787
12128a2a0b4a69b0
13584237cb546a7
142463d4cc29140
15102d17c3214a0
hex7782b709b814

131403300321300 has 144 divisors (see below), whose sum is σ = 434521210445952. Its totient is φ = 30034051776000.

The previous prime is 131403300321299. The next prime is 131403300321331. The reversal of 131403300321300 is 3123003304131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63777250 + ... + 65805350.

Almost surely, 2131403300321300 is an apocalyptic number.

131403300321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403300321300 is an abundant number, since it is smaller than the sum of its proper divisors (303117910124652).

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

131403300321300 is a wasteful number, since it uses less digits than its factorization.

131403300321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058978 (or 2058971 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131403300321300 its reverse (3123003304131), we get a palindrome (134526303625431).

The spelling of 131403300321300 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 30853 61706 92559 123412 154265 185118 215971 308530 370236 431942 462795 617060 647913 771325 863884 925590 1079855 1295826 1542650 1851180 2028101 2159710 2313975 2591652 3085300 3239565 4056202 4319420 4627950 5399275 6084303 6479130 8112404 9255900 10140505 10798550 12168606 12958260 14196707 16197825 20281010 21597100 24337212 28393414 30421515 32395650 40562020 42590121 50702525 56786828 60843030 64791300 70983535 85180242 101405050 121686060 141967070 152107575 170360484 202810100 212950605 283934140 304215150 354917675 425901210 608430300 709835350 851802420 1064753025 1419670700 2129506050 4259012100 62573000153 125146000306 187719000459 250292000612 312865000765 375438000918 438011001071 625730001530 750876001836 876022002142 938595002295 1251460003060 1314033003213 1564325003825 1752044004284 1877190004590 2190055005355 2628066006426 3128650007650 3754380009180 4380110010710 4692975011475 5256132012852 6257300015300 6570165016065 8760220021420 9385950022950 10950275026775 13140330032130 18771900045900 21900550053550 26280660064260 32850825080325 43801100107100 65701650160650 131403300321300