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131140041143233 = 17236114936901367
BaseRepresentation
bin11101110100010101101011…
…100100010111001111000001
3122012022212100221112212220111
4131310111223210113033001
5114142044301013040413
61142524523032111321
736423361320426103
oct3564255344271701
9565285327485814
10131140041143233
11388701a7458831
121285b99a535541
1358235b6ab9a05
1424552d74a3573
1510263c045bd3d
hex77456b9173c1

131140041143233 has 32 divisors (see below), whose sum is σ = 148254936076800. Its totient is φ = 115344813788160.

The previous prime is 131140041143207. The next prime is 131140041143249. The reversal of 131140041143233 is 332341140041131.

It is a cyclic number.

It is not a de Polignac number, because 131140041143233 - 229 = 131139504272321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131140041143195 and 131140041143204.

It is not an unprimeable number, because it can be changed into a prime (131140041143833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14896885 + ... + 22004482.

It is an arithmetic number, because the mean of its divisors is an integer number (4632966752400).

Almost surely, 2131140041143233 is an apocalyptic number.

It is an amenable number.

131140041143233 is a deficient number, since it is larger than the sum of its proper divisors (17114894933567).

131140041143233 is a wasteful number, since it uses less digits than its factorization.

131140041143233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36901617.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 131140041143233 its reverse (332341140041131), we get a palindrome (463481181184364).

The spelling of 131140041143233 in words is "one hundred thirty-one trillion, one hundred forty billion, forty-one million, one hundred forty-three thousand, two hundred thirty-three".

Divisors: 1 17 23 61 149 391 1037 1403 2533 3427 9089 23851 58259 154513 209047 3553799 36901367 627323239 848731441 2250983387 5498303683 14428434497 38266717579 51772617901 93471162611 126460984709 335396524663 880134504317 2149836740053 5701740919271 7714120067249 131140041143233