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131010122041041 = 3269643252476141
BaseRepresentation
bin11101110010011100101011…
…110010010100011011010001
3122011212110000122211200012210
4131302130223302110123101
5114132432212220303131
61142345115202542333
736411111645324315
oct3562345362243321
9564773018750183
10131010122041041
11388200985133a1
121283a7809679a9
1358142808cb109
14244ccd0a55b45
151022d19778146
hex77272bc946d1

131010122041041 has 16 divisors (see below), whose sum is σ = 175602206283840. Its totient is φ = 86880069487680.

The previous prime is 131010122041013. The next prime is 131010122041049. The reversal of 131010122041041 is 140140221010131.

It is not a de Polignac number, because 131010122041041 - 26 = 131010122040977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131010122040999 and 131010122041017.

It is not an unprimeable number, because it can be changed into a prime (131010122041049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125719170 + ... + 126756971.

It is an arithmetic number, because the mean of its divisors is an integer number (10975137892740).

Almost surely, 2131010122041041 is an apocalyptic number.

It is an amenable number.

131010122041041 is a deficient number, since it is larger than the sum of its proper divisors (44592084242799).

131010122041041 is a wasteful number, since it uses less digits than its factorization.

131010122041041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252477056.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 131010122041041 its reverse (140140221010131), we get a palindrome (271150343051172).

The spelling of 131010122041041 in words is "one hundred thirty-one trillion, ten billion, one hundred twenty-two million, forty-one thousand, forty-one".

Divisors: 1 3 269 643 807 1929 172967 518901 252476141 757428423 67916081929 162342158663 203748245787 487026475989 43670040680347 131010122041041