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131045253511221 = 3572513794311879
BaseRepresentation
bin11101110010111101011001…
…110010001111100000110101
3122011222210201000220021100000
4131302331121302033200311
5114134021134344324341
61142413205224141513
736413464355023530
oct3562753162174065
9564883630807300
10131045253511221
1138833a8629a975
1212845546307899
13581768c1337aa
1424508a47c5a17
151023bc3b278b6
hex772f59c8f835

131045253511221 has 192 divisors, whose sum is σ = 226473349939200. Its totient is φ = 74175779160000.

The previous prime is 131045253511219. The next prime is 131045253511223. The reversal of 131045253511221 is 122115352540131.

131045253511221 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 5 + 2 + 535 + 112 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (131045253511219) and next prime (131045253511223).

It is not a de Polignac number, because 131045253511221 - 21 = 131045253511219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131045253511223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69742017960 + ... + 69742019838.

It is an arithmetic number, because the mean of its divisors is an integer number (1179548697600).

Almost surely, 2131045253511221 is an apocalyptic number.

It is an amenable number.

131045253511221 is a deficient number, since it is larger than the sum of its proper divisors (95428096427979).

131045253511221 is a wasteful number, since it uses less digits than its factorization.

131045253511221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 131045253511221 in words is "one hundred thirty-one trillion, forty-five billion, two hundred fifty-three million, five hundred eleven thousand, two hundred twenty-one".