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321311113123 = 711131916894217
BaseRepresentation
bin1001010110011111010…
…00100111111110100011
31010201100201112202002011
410223033220213332203
520231021121104443
6403335220133351
732133250253440
oct4531750477643
91121321482064
10321311113123
111142a3823a90
1252332537257
13243b8032910
14117a15dc9c7
1585585b2b9d
hex4acfa27fa3

321311113123 has 32 divisors (see below), whose sum is σ = 454116579840. Its totient is φ = 218949039360.

The previous prime is 321311113111. The next prime is 321311113133.

321311113123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 321311113123 - 229 = 320774242211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321311113094 and 321311113103.

It is not an unprimeable number, because it can be changed into a prime (321311113103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8428090 + ... + 8466127.

It is an arithmetic number, because the mean of its divisors is an integer number (14191143120).

Almost surely, 2321311113123 is an apocalyptic number.

321311113123 is a deficient number, since it is larger than the sum of its proper divisors (132805466717).

321311113123 is a wasteful number, since it uses less digits than its factorization.

321311113123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16894267.

The product of its digits is 324, while the sum is 22.

It can be divided in two parts, 321311 and 113123, that added together give a palindrome (434434).

The spelling of 321311113123 in words is "three hundred twenty-one billion, three hundred eleven million, one hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2717 19019 16894217 118259519 185836387 219624821 320990123 1300854709 1537373747 2246930861 2415873031 3530891353 4172871599 16911111217 24716239471 29210101193 45901587589 321311113123