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12312422421321 = 311243990179669
BaseRepresentation
bin1011001100101011010110…
…0100001001001101001001
31121121001111212222112000010
42303022311210021031021
53103211320114440241
642104125422502133
72410354206535551
oct263126544111511
947531455875003
1012312422421321
113a1773a522100
12146a291434949
136b4097044b49
14307cd289c161
1516541ae91d16
hexb32b5909349

12312422421321 has 48 divisors (see below), whose sum is σ = 18466391894720. Its totient is φ = 7287709968000.

The previous prime is 12312422421317. The next prime is 12312422421329.

12312422421321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12312422421321 - 22 = 12312422421317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12312422421329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154504875 + ... + 154584543.

Almost surely, 212312422421321 is an apocalyptic number.

12312422421321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12312422421321 is a deficient number, since it is larger than the sum of its proper divisors (6153969473399).

12312422421321 is a wasteful number, since it uses less digits than its factorization.

12312422421321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89638 (or 89627 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1231242 and 2421321, that added together give a palindrome (3652563).

The spelling of 12312422421321 in words is "twelve trillion, three hundred twelve billion, four hundred twenty-two million, four hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 43 121 129 363 473 1419 5203 9901 15609 29703 79669 108911 239007 326733 425743 876359 1198021 1277229 2629077 3425767 3594063 4683173 9639949 10277301 14049519 28919847 37683437 51514903 113050311 154544709 414517807 788802769 1243553421 2366408307 8676830459 26030491377 33918519067 95445135049 101755557201 286335405147 373103709737 1119311129211 4104140807107 12312422421321