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12331122001133 = 1389167179356533
BaseRepresentation
bin1011001101110001000000…
…1001011000010011101101
31121122211210002112121010012
42303130100021120103231
53104013114213014013
642120501135423005
72411615461412135
oct263342011302355
947584702477105
1012331122001133
113a246659971a1
121471a2b984a65
136b5a87198480
14308b88193ac5
15165b629881a8
hexb37102584ed

12331122001133 has 32 divisors (see below), whose sum is σ = 13584801081600. Its totient is φ = 11124756758016.

The previous prime is 12331122001129. The next prime is 12331122001207. The reversal of 12331122001133 is 33110022113321.

It is not a de Polignac number, because 12331122001133 - 22 = 12331122001129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12331122001099 and 12331122001108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331122001433) 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, 34407935 + ... + 34764467.

It is an arithmetic number, because the mean of its divisors is an integer number (424525033800).

Almost surely, 212331122001133 is an apocalyptic number.

12331122001133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12331122001133 is a deficient number, since it is larger than the sum of its proper divisors (1253679080467).

12331122001133 is a wasteful number, since it uses less digits than its factorization.

12331122001133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356981.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12331122001133 its reverse (33110022113321), we get a palindrome (45441144114454).

The spelling of 12331122001133 in words is "twelve trillion, three hundred thirty-one billion, one hundred twenty-two million, one thousand, one hundred thirty-three".

Divisors: 1 13 89 167 179 1157 2171 2327 14863 15931 29893 193219 207103 356533 388609 2660477 4634929 31731437 34586201 59541011 63819407 412508681 774033143 829652291 5299149979 5679927223 10657840969 68888949727 73839053899 138551932597 948547846241 12331122001133