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123131021101133 = 2341433036598217
BaseRepresentation
bin11011111111110010101100…
…110001100000100001001101
3121010222012200120100212102212
4123333302230301200201031
5112114334312400214013
61113513335445200205
734635631326342653
oct3377625461404115
9533865616325385
10123131021101133
1136262633435451
1211987749a00065
135392289548c46
142259804cb2dd3
15e37dc16ab6a8
hex6ffcacc6084d

123131021101133 has 16 divisors (see below), whose sum is σ = 134679204164736. Its totient is φ = 112232670063360.

The previous prime is 123131021101129. The next prime is 123131021101139. The reversal of 123131021101133 is 331101120131321.

It is a cyclic number.

It is not a de Polignac number, because 123131021101133 - 22 = 123131021101129 is a prime.

It is a super-2 number, since 2×1231310211011332 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123131021101099 and 123131021101108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123131021101139) 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, 1518258560 + ... + 1518339657.

It is an arithmetic number, because the mean of its divisors is an integer number (8417450260296).

Almost surely, 2123131021101133 is an apocalyptic number.

It is an amenable number.

123131021101133 is a deficient number, since it is larger than the sum of its proper divisors (11548183063603).

123131021101133 is a wasteful number, since it uses less digits than its factorization.

123131021101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036598324.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 123131021101133 its reverse (331101120131321), we get a palindrome (454232141232454).

The spelling of 123131021101133 in words is "one hundred twenty-three trillion, one hundred thirty-one billion, twenty-one million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 23 41 43 943 989 1763 40549 3036598217 69841758991 124500526897 130573723331 2863512118631 3003195636613 5353522656571 123131021101133