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123031133313 = 311178313919009
BaseRepresentation
bin111001010010100111…
…0100001110010000001
3102202120020210010201020
41302211032201302001
54003431432231223
6132304132100053
711613553243524
oct1624516416201
9382506703636
10123031133313
11481a495a480
121ba16a64629
13b7a917c68a
145d51b34bbb
1533011491e3
hex1ca53a1c81

123031133313 has 64 divisors (see below), whose sum is σ = 193153766400. Its totient is φ = 68830248960.

The previous prime is 123031133297. The next prime is 123031133341. The reversal of 123031133313 is 313331130321.

It is not a de Polignac number, because 123031133313 - 24 = 123031133297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123031133363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6462753 + ... + 6481761.

It is an arithmetic number, because the mean of its divisors is an integer number (3018027600).

Almost surely, 2123031133313 is an apocalyptic number.

It is an amenable number.

123031133313 is a deficient number, since it is larger than the sum of its proper divisors (70122633087).

123031133313 is a wasteful number, since it uses less digits than its factorization.

123031133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19262.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 123031133313 its reverse (313331130321), we get a palindrome (436362263634).

The spelling of 123031133313 in words is "one hundred twenty-three billion, thirty-one million, one hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 3 11 17 33 51 83 139 187 249 417 561 913 1411 1529 2363 2739 4233 4587 7089 11537 15521 19009 25993 34611 46563 57027 77979 126907 196129 209099 323153 380721 588387 627297 969459 1577747 2157419 2642251 3554683 4733241 6472257 7926753 10664049 17355217 26821699 29064761 44918267 52065651 80465097 87194283 134754801 219306833 295038689 494100937 657920499 885116067 1482302811 2412375163 3728216161 7237125489 11184648483 41010377771 123031133313