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991012133331 = 321119950302631
BaseRepresentation
bin11100110101111001110…
…11010001100111010011
310111201222100011111021100
432122330323101213103
5112214043101231311
62035133101155443
7131412130101063
oct16327473214723
93451870144240
10991012133331
11352316571710
12140093b5bb83
13725b51a613c
1435d728ad3a3
151aba2684a56
hexe6bced19d3

991012133331 has 24 divisors (see below), whose sum is σ = 1569442118400. Its totient is φ = 597595244400.

The previous prime is 991012133317. The next prime is 991012133339. The reversal of 991012133331 is 133331210199.

991012133331 is a `hidden beast` number, since 9 + 9 + 101 + 213 + 3 + 331 = 666.

It is not a de Polignac number, because 991012133331 - 25 = 991012133299 is a prime.

It is a super-2 number, since 2×9910121333312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (991012133339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25131615 + ... + 25171016.

It is an arithmetic number, because the mean of its divisors is an integer number (65393421600).

Almost surely, 2991012133331 is an apocalyptic number.

991012133331 is a deficient number, since it is larger than the sum of its proper divisors (578429985069).

991012133331 is a wasteful number, since it uses less digits than its factorization.

991012133331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50302847 (or 50302844 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The spelling of 991012133331 in words is "nine hundred ninety-one billion, twelve million, one hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 199 597 1791 2189 6567 19701 50302631 150907893 452723679 553328941 1659986823 4979960469 10010223569 30030670707 90092012121 110112459259 330337377777 991012133331