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131131322143002 = 23420291243732077
BaseRepresentation
bin11101110100001101100011…
…111000000001000100011010
3122012022000212022012210010000
4131310031203320001010122
5114141423421432034002
61142520521525433430
736422632256231256
oct3564154370010432
9565260768183100
10131131322143002
1138867532843915
121285a16656b876
13582282761418c
142454b0b517266
15102605ec8961c
hex774363e0111a

131131322143002 has 80 divisors (see below), whose sum is σ = 294008914389960. Its totient is φ = 43684023157632.

The previous prime is 131131322142983. The next prime is 131131322143007. The reversal of 131131322143002 is 200341223131131.

131131322143002 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 1 + 3 + 221 + 430 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131091943312521 + 39378830481 = 11449539^2 + 198441^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131131322143007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4088000988 + ... + 4088033064.

Almost surely, 2131131322143002 is an apocalyptic number.

131131322143002 is an abundant number, since it is smaller than the sum of its proper divisors (162877592246958).

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

131131322143002 is a wasteful number, since it uses less digits than its factorization.

131131322143002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46557 (or 46548 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131131322143002 its reverse (200341223131131), we get a palindrome (331472545274133).

The spelling of 131131322143002 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, three hundred twenty-two million, one hundred forty-three thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 2029 4058 6087 12174 12437 18261 24874 32077 36522 37311 54783 64154 74622 96231 109566 111933 164349 192462 223866 288693 328698 335799 577386 671598 866079 1007397 1732158 2014794 2598237 5196474 25234673 50469346 65084233 75704019 130168466 151408038 195252699 227112057 390505398 398941649 454224114 585758097 681336171 797883298 1171516194 1196824947 1362672342 1757274291 2044008513 2393649894 3514548582 3590474841 4088017026 5271822873 7180949682 10543645746 10771424523 21542849046 32314273569 64628547138 809452605821 1618905211642 2428357817463 4856715634926 7285073452389 14570146904778 21855220357167 43710440714334 65565661071501 131131322143002