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131045331141153 = 321113269378521651
BaseRepresentation
bin11101110010111101011110…
…011010011000001000100001
3122011222210220102222021120200
4131302331132122120020201
5114134021314233004103
61142413221040055413
736413466316616052
oct3562753632301041
9564883812867520
10131045331141153
11388340160a2440
1212845568304569
1358176a2244170
1424508b0c32729
151023bca85e0a3
hex772f5e698221

131045331141153 has 48 divisors (see below), whose sum is σ = 223206647751360. Its totient is φ = 73039537584000.

The previous prime is 131045331141091. The next prime is 131045331141163. The reversal of 131045331141153 is 351141133540131.

131045331141153 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 533 + 1 + 1 + 4 + 115 + 3 = 666.

It is not a de Polignac number, because 131045331141153 - 241 = 128846307885601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131045331141163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188914623 + ... + 189607028.

It is an arithmetic number, because the mean of its divisors is an integer number (4650138494820).

Almost surely, 2131045331141153 is an apocalyptic number.

131045331141153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131045331141153 is a deficient number, since it is larger than the sum of its proper divisors (92161316610207).

131045331141153 is a wasteful number, since it uses less digits than its factorization.

131045331141153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378521950 (or 378521947 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 131045331141153 its reverse (351141133540131), we get a palindrome (482186464681284).

The spelling of 131045331141153 in words is "one hundred thirty-one trillion, forty-five billion, three hundred thirty-one million, one hundred forty-one thousand, one hundred fifty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 269 429 807 1287 2421 2959 3497 8877 10491 26631 31473 38467 115401 346203 378521651 1135564953 3406694859 4163738161 4920781463 12491214483 14762344389 37473643449 44287033167 54128596093 101822324119 162385788279 305466972357 487157364837 916400917071 1120045565309 1323690213547 3360136695927 3971070640641 10080410087781 11913211921923 14560592349017 43681777047051 131045331141153