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131022001114443 = 32193721720587649
BaseRepresentation
bin11101110010100111101111…
…110101011000110101001011
3122011220120200112102010110100
4131302213233311120311023
5114133131024241130233
61142354402032420443
736412012220640345
oct3562475765306513
9564816615363410
10131022001114443
113882513399002a
1212840b370a7723
1358154249a302a
14244d6da596295
1510232b25ad813
hex7729efd58d4b

131022001114443 has 24 divisors (see below), whose sum is σ = 199220101002000. Its totient is φ = 82748510060544.

The previous prime is 131022001114439. The next prime is 131022001114457. The reversal of 131022001114443 is 344411100220131.

It is a happy number.

131022001114443 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 200 + 1 + 1 + 14 + 443 = 666.

It is not a de Polignac number, because 131022001114443 - 22 = 131022001114439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131022001114243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3929718 + ... + 16657931.

It is an arithmetic number, because the mean of its divisors is an integer number (8300837541750).

Almost surely, 2131022001114443 is an apocalyptic number.

131022001114443 is a deficient number, since it is larger than the sum of its proper divisors (68198099887557).

131022001114443 is a wasteful number, since it uses less digits than its factorization.

131022001114443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20624891 (or 20624888 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131022001114443 its reverse (344411100220131), we get a palindrome (475433101334574).

The spelling of 131022001114443 in words is "one hundred thirty-one trillion, twenty-two billion, one million, one hundred fourteen thousand, four hundred forty-three".

Divisors: 1 3 9 19 57 171 37217 111651 334953 707123 2121369 6364107 20587649 61762947 185288841 391165331 1173495993 3520487979 766210532833 2298631598499 6895894795497 14558000123827 43674000371481 131022001114443