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131212011413000 = 2353731729590771
BaseRepresentation
bin11101110101011000101101…
…010101001001111000001000
3122012120202010200022101210102
4131311120231111021320020
5114144234144410204000
61143021544344504532
736431516650554350
oct3565305525117010
9565522120271712
10131212011413000
1138898779830721
121287192517b148
13582a31649c45b
1424589a3a35b60
1510281d3a0b3d5
hex77562d549e08

131212011413000 has 128 divisors (see below), whose sum is σ = 350910060883200. Its totient is φ = 44985481344000.

The previous prime is 131212011412997. The next prime is 131212011413011. The reversal of 131212011413000 is 314110212131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221807615 + ... + 222398385.

It is an arithmetic number, because the mean of its divisors is an integer number (2741484850650).

Almost surely, 2131212011413000 is an apocalyptic number.

131212011413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212011413000 is an abundant number, since it is smaller than the sum of its proper divisors (219698049470200).

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

131212011413000 is a wasteful number, since it uses less digits than its factorization.

131212011413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622528 (or 622514 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 131212011413000 its reverse (314110212131), we get a palindrome (131526121625131).

The spelling of 131212011413000 in words is "one hundred thirty-one trillion, two hundred twelve billion, eleven million, four hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 31729 63458 126916 158645 222103 253832 317290 444206 590771 634580 793225 888412 1110515 1181542 1269160 1586450 1776824 2221030 2363084 2953855 3172900 3966125 4135397 4442060 4726168 5552575 5907710 6345800 7932250 8270794 8884120 11105150 11815420 14769275 15864500 16541588 20676985 22210300 23630840 27762875 29538550 31729000 33083176 41353970 44420600 55525750 59077100 73846375 82707940 103384925 111051500 118154200 147692750 165415880 206769850 222103000 295385500 413539700 516924625 590771000 827079400 1033849250 2067698500 4135397000 18744573059 37489146118 74978292236 93722865295 131212011413 149956584472 187445730590 262424022826 374891461180 468614326475 524848045652 656060057065 749782922360 937228652950 1049696091304 1312120114130 1874457305900 2343071632375 2624240228260 3280300285325 3748914611800 4686143264750 5248480456520 6560600570650 9372286529500 13121201141300 16401501426625 18744573059000 26242402282600 32803002853250 65606005706500 131212011413000