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130442013024132 = 2232917310332097451
BaseRepresentation
bin11101101010001011100101…
…110110011001111110000100
3122002212010122011111102020110
4131222023211312121332010
5114044130220313233012
61141232122235033020
736322060453341345
oct3552134566317604
9562763564442213
10130442013024132
1138621168810477
121276865229b770
1357a2824030304
14242d5da0180cc
15101316956073c
hex76a2e5d99f84

130442013024132 has 96 divisors (see below), whose sum is σ = 316986746186880. Its totient is φ = 41698245657600.

The previous prime is 130442013024109. The next prime is 130442013024133. The reversal of 130442013024132 is 231420310244031.

It is a self number, because there is not a number n which added to its sum of digits gives 130442013024132.

It is not an unprimeable number, because it can be changed into a prime (130442013024133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61142007 + ... + 63239457.

It is an arithmetic number, because the mean of its divisors is an integer number (3301945272780).

Almost surely, 2130442013024132 is an apocalyptic number.

130442013024132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130442013024132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158493373093440).

130442013024132 is an abundant number, since it is smaller than the sum of its proper divisors (186544733162748).

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

130442013024132 is a wasteful number, since it uses less digits than its factorization.

130442013024132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098693 (or 2098691 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 130442013024132 its reverse (231420310244031), we get a palindrome (361862323268163).

The spelling of 130442013024132 in words is "one hundred thirty trillion, four hundred forty-two billion, thirteen million, twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 173 174 346 348 519 692 1033 1038 2066 2076 3099 4132 5017 6198 10034 12396 15051 20068 29957 30102 59914 60204 89871 119828 178709 179742 357418 359484 536127 714836 1072254 2097451 2144508 4194902 5182561 6292353 8389804 10365122 12584706 15547683 20730244 25169412 31095366 60826079 62190732 121652158 182478237 243304316 362859023 364956474 725718046 729912948 1088577069 1451436092 2166666883 2177154138 4333333766 4354308276 6500000649 8666667532 10522911667 13000001298 21045823334 26000002596 31568735001 42091646668 62833339607 63137470002 125666679214 126274940004 188500018821 251333358428 374833370759 377000037642 749666741518 754000075284 1124500112277 1499333483036 2249000224554 4498000449108 10870167752011 21740335504022 32610503256033 43480671008044 65221006512066 130442013024132