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331122113003001 = 3892418216267823
BaseRepresentation
bin100101101001001110101111…
…1111011000011110111111001
31121102101222001101020001112010
41023102131133323003313321
5321400101041412044001
63132123222043240133
7126513532432262325
oct11322353773036771
91542358041201463
10331122113003001
11965621104aaa61
1231179825819049
131129b8b19b8498
145baa578044985
1528433a55d98d6
hex12d275fec3df9

331122113003001 has 32 divisors (see below), whose sum is σ = 448855423695360. Its totient is φ = 217097297049600.

The previous prime is 331122113002987. The next prime is 331122113003051. The reversal of 331122113003001 is 100300311221133.

It is a happy number.

It is not a de Polignac number, because 331122113003001 - 217 = 331122112871929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331122113003051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49694976 + ... + 55962798.

It is an arithmetic number, because the mean of its divisors is an integer number (14026731990480).

Almost surely, 2331122113003001 is an apocalyptic number.

It is an amenable number.

331122113003001 is a deficient number, since it is larger than the sum of its proper divisors (117733310692359).

331122113003001 is a wasteful number, since it uses less digits than its factorization.

331122113003001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268977.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 331122113003001 its reverse (100300311221133), we get a palindrome (431422424224134).

The spelling of 331122113003001 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, one hundred thirteen million, three thousand, one".

Divisors: 1 3 89 241 267 723 821 2463 21449 64347 73069 197861 219207 593583 6267823 17609629 18803469 52828887 557836247 1510545343 1673508741 4531636029 5145882683 15437648049 134438535527 403315606581 457983558787 1240157726603 1373950676361 3720473179809 110374037667667 331122113003001