Search a number
-
+
131045333122553 = 17374317412782939
BaseRepresentation
bin11101110010111101011110…
…100001111011110111111001
3122011222210220120200221112212
4131302331132201323313321
5114134021320234410203
61142413221150344505
736413466342510533
oct3562753641736771
9564883816627485
10131045333122553
1138834017226063
1212845568abb135
1358176a2788ca5
1424508b11ca853
151023bcab011d8
hex772f5e87bdf9

131045333122553 has 32 divisors (see below), whose sum is σ = 145901841022080. Its totient is φ = 117145214807040.

The previous prime is 131045333122547. The next prime is 131045333122559. The reversal of 131045333122553 is 355221333540131.

It is an interprime number because it is at equal distance from previous prime (131045333122547) and next prime (131045333122559).

It is a cyclic number.

It is not a de Polignac number, because 131045333122553 - 212 = 131045333118457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131045333122553.

It is not an unprimeable number, because it can be changed into a prime (131045333122559) 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, 45697358 + ... + 48480296.

It is an arithmetic number, because the mean of its divisors is an integer number (4559432531940).

Almost surely, 2131045333122553 is an apocalyptic number.

It is an amenable number.

131045333122553 is a deficient number, since it is larger than the sum of its proper divisors (14856507899527).

131045333122553 is a wasteful number, since it uses less digits than its factorization.

131045333122553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784777.

The product of its (nonzero) digits is 486000, while the sum is 41.

Adding to 131045333122553 its reverse (355221333540131), we get a palindrome (486266666662684).

The spelling of 131045333122553 in words is "one hundred thirty-one trillion, forty-five billion, three hundred thirty-three million, one hundred twenty-two thousand, five hundred fifty-three".

Divisors: 1 17 37 43 629 731 1591 1741 27047 29597 64417 74863 1095089 1272671 2769931 2782939 47088827 47309963 102968743 119666377 1750468631 2034328409 4427655949 4845096799 75270151133 82366645583 179268581563 208339162357 3047565886571 3541765760069 7708549007209 131045333122553