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131002133120132 = 22173774449699373
BaseRepresentation
bin11101110010010101001111…
…100111000000010010000100
3122011211200101220021102222012
4131302111033213000102010
5114132314332034321012
61142341314340353352
736410406660526601
oct3562251747002204
9564750356242865
10131002133120132
1138817768a2291a
12128391113a5858
1358135a9766a91
14244c773a336a8
1510229ed21a622
hex77254f9c0484

131002133120132 has 48 divisors (see below), whose sum is σ = 249303471908400. Its totient is φ = 59981007347712.

The previous prime is 131002133120119. The next prime is 131002133120143. The reversal of 131002133120132 is 231021331200131.

It can be written as a sum of positive squares in 8 ways, for example, as 5695019507776 + 125307113612356 = 2386424^2 + 11194066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131002133120098 and 131002133120107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186963998 + ... + 187663370.

It is an arithmetic number, because the mean of its divisors is an integer number (5193822331425).

Almost surely, 2131002133120132 is an apocalyptic number.

It is an amenable number.

131002133120132 is a deficient number, since it is larger than the sum of its proper divisors (118301338788268).

131002133120132 is a wasteful number, since it uses less digits than its factorization.

131002133120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773880 (or 773878 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131002133120132 its reverse (231021331200131), we get a palindrome (362023464320263).

The spelling of 131002133120132 in words is "one hundred thirty-one trillion, two billion, one hundred thirty-three million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 17 34 37 68 74 148 629 1258 2516 74449 148898 297796 699373 1265633 1398746 2531266 2754613 2797492 5062532 5509226 11018452 11889341 23778682 25876801 46828421 47557364 51753602 93656842 103507204 187313684 439905617 879811234 1759622468 52067620477 104135240954 208270481908 885149548109 1770299096218 1926501957649 3540598192436 3853003915298 7706007830596 32750533280033 65501066560066 131002133120132