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12413111131421 = 7112137193156727
BaseRepresentation
bin1011010010100010011100…
…0101000101110100011101
31121221200102001112221220022
42310220213011011310131
53111334022422201141
642222300551201525
72420550315464330
oct264504705056435
947850361487808
1012413111131421
113a56409696300
1214858b19762a5
136c072243cc50
1430cb25198617
15167d608bdb4b
hexb4a27145d1d

12413111131421 has 48 divisors (see below), whose sum is σ = 16795258351872. Its totient is φ = 8927213264640.

The previous prime is 12413111131373. The next prime is 12413111131429.

12413111131421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12413111131421 - 226 = 12413044022557 is a prime.

It is a super-2 number, since 2×124131111314212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413111131429) 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, 79123760 + ... + 79280486.

It is an arithmetic number, because the mean of its divisors is an integer number (349901215664).

Almost surely, 212413111131421 is an apocalyptic number.

12413111131421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12413111131421 is a deficient number, since it is larger than the sum of its proper divisors (4382147220451).

12413111131421 is a wasteful number, since it uses less digits than its factorization.

12413111131421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163962 (or 163951 counting only the distinct ones).

The product of its digits is 576, while the sum is 26.

It can be divided in two parts, 1241311 and 1131421, that added together give a palindrome (2372732).

The spelling of 12413111131421 in words is "twelve trillion, four hundred thirteen billion, one hundred eleven million, one hundred thirty-one thousand, four hundred twenty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 7193 11011 50351 79123 93509 156727 553861 654563 870353 1028599 1097089 1723997 2037451 6092471 7200193 11314589 12067979 14262157 18963967 22411961 79202123 132747769 156883727 246531571 1127337311 1725720997 7891361177 12400710421 14655385043 86804972947 102587695301 136407814631 161209235473 954854702417 1128464648311 1773301590203 12413111131421