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131142103001141 = 2337154103528791
BaseRepresentation
bin11101110100010111100110…
…011101101110100000110101
3122012100001200122022010020012
4131310113212131232200311
5114142113011332014031
61142525503404550005
736423463365063461
oct3564274635564065
9565301618263205
10131142103001141
1138871065305131
1212860274b52305
13582385501188b
1424554512614a1
15102649148cb2b
hex7745e676e835

131142103001141 has 8 divisors (see below), whose sum is σ = 140542418258304. Its totient is φ = 122049994801680.

The previous prime is 131142103001069. The next prime is 131142103001191. The reversal of 131142103001141 is 141100301241131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131142103001141 - 246 = 60773358823477 is a prime.

It is a super-3 number, since 3×1311421030011413 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142103001191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77051763545 + ... + 77051765246.

It is an arithmetic number, because the mean of its divisors is an integer number (17567802282288).

Almost surely, 2131142103001141 is an apocalyptic number.

It is an amenable number.

131142103001141 is a deficient number, since it is larger than the sum of its proper divisors (9400315257163).

131142103001141 is a wasteful number, since it uses less digits than its factorization.

131142103001141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154103528851.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 131142103001141 its reverse (141100301241131), we get a palindrome (272242404242272).

The spelling of 131142103001141 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, one thousand, one hundred forty-one".

Divisors: 1 23 37 851 154103528791 3544381162193 5701830565267 131142103001141