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131020241124342 = 235310133131231313
BaseRepresentation
bin11101110010100110000110…
…111011100011101111110110
3122011220102010212200100220210
4131302212012323203233312
5114133113423211434332
61142353511242010250
736411620500162023
oct3562460673435766
9564812125610823
10131020241124342
1138824410473459
12128407257a6986
13581520418117b
14244d5b093654a
15102320cd09ecc
hex772986ee3bf6

131020241124342 has 64 divisors (see below), whose sum is σ = 269709658497216. Its totient is φ = 42412295577600.

The previous prime is 131020241124329. The next prime is 131020241124361. The reversal of 131020241124342 is 243421142020131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105791278 + ... + 107022590.

It is an arithmetic number, because the mean of its divisors is an integer number (4214213414019).

Almost surely, 2131020241124342 is an apocalyptic number.

131020241124342 is an abundant number, since it is smaller than the sum of its proper divisors (138689417372874).

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

131020241124342 is a wasteful number, since it uses less digits than its factorization.

131020241124342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234785.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 131020241124342 its reverse (243421142020131), we get a palindrome (374441383144473).

The spelling of 131020241124342 in words is "one hundred thirty-one trillion, twenty billion, two hundred forty-one million, one hundred twenty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 53 101 106 159 202 303 318 606 3313 5353 6626 9939 10706 16059 19878 32118 175589 334613 351178 526767 669226 1003839 1053534 1231313 2007678 2462626 3693939 7387878 17734489 35468978 53203467 65259589 106406934 124362613 130519178 195778767 248725226 373087839 391557534 746175678 4079339969 6591218489 8158679938 12238019907 13182436978 19773655467 24476039814 39547310934 216205018357 412013336869 432410036714 648615055071 824026673738 1236040010607 1297230110142 2472080021214 21836706854057 43673413708114 65510120562171 131020241124342