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123411141114321 = 3293738338347659
BaseRepresentation
bin11100000011110111100101…
…001110100011100111010001
3121011221222201121120221002010
4130003313211032203213101
5112133432004111124241
61114250143501213133
734665106060226154
oct3403674516434721
9534858647527063
10123411141114321
1136360409923385
1211a11aa55611a9
1353b280b7ccb38
1422691b9a4dc9b
15e40318908d16
hex703de53a39d1

123411141114321 has 16 divisors (see below), whose sum is σ = 174822865329600. Its totient is φ = 77290108878528.

The previous prime is 123411141114277. The next prime is 123411141114367.

It is a happy number.

123411141114321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123411141114321 - 219 = 123411140590033 is a prime.

It is a super-2 number, since 2×1234111411143212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123411141114421) 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, 19169170611 + ... + 19169177048.

It is an arithmetic number, because the mean of its divisors is an integer number (10926429083100).

Almost surely, 2123411141114321 is an apocalyptic number.

It is an amenable number.

123411141114321 is a deficient number, since it is larger than the sum of its proper divisors (51411724215279).

123411141114321 is a wasteful number, since it uses less digits than its factorization.

123411141114321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38338347728.

The product of its digits is 2304, while the sum is 30.

The spelling of 123411141114321 in words is "one hundred twenty-three trillion, four hundred eleven billion, one hundred forty-one million, one hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 29 37 87 111 1073 3219 38338347659 115015042977 1111812082111 1418518863383 3335436246333 4255556590149 41137047038107 123411141114321