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131120122033232 = 24171019714915411
BaseRepresentation
bin11101110100000011001000…
…010010111111010001010000
3122012020221221202020020212122
4131310003020102333101100
5114141233002220030412
61142511430312313412
736422054566663103
oct3564031022772120
9565227852206778
10131120122033232
1138862805658652
1212857b5b6a2868
1358217610c45a7
142454367c3673a
151025b0686d572
hex7740c84bf450

131120122033232 has 80 divisors (see below), whose sum is σ = 271932152889024. Its totient is φ = 61029730560000.

The previous prime is 131120122033231. The next prime is 131120122033321. The reversal of 131120122033232 is 232330221021131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120122033231) 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, 24217607 + ... + 29133017.

Almost surely, 2131120122033232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131120122033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135966076444512).

131120122033232 is an abundant number, since it is smaller than the sum of its proper divisors (140812030855792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131120122033232 is a wasteful number, since it uses less digits than its factorization.

131120122033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916508 (or 4916502 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 131120122033232 its reverse (232330221021131), we get a palindrome (363450343054363).

The spelling of 131120122033232 in words is "one hundred thirty-one trillion, one hundred twenty billion, one hundred twenty-two million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 971 1616 1717 1942 3434 3884 6868 7768 13736 15536 16507 27472 33014 66028 98071 132056 196142 264112 392284 784568 1569136 1667207 3334414 4915411 6668828 9830822 13337656 19661644 26675312 39323288 78646576 83561987 167123974 334247948 496456511 668495896 992913022 1336991792 1985826044 3971652088 4772864081 7943304176 8439760687 9545728162 16879521374 19091456324 33759042748 38182912648 67518085496 76365825296 81138689377 135036170992 162277378754 324554757508 482059272181 649109515016 964118544362 1298219030032 1928237088724 3856474177448 7712948354896 8195007627077 16390015254154 32780030508308 65560061016616 131120122033232