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42131222213124 = 22311319175925857
BaseRepresentation
bin10011001010001011100001…
…00010001011001000000100
312112011201001022111222010010
421211011300202023020010
521010234220341304444
6225334452152430220
711605610651001522
oct1145056042131004
9175151038458103
1042131222213124
1112473829642880
1248853910a8370
131a67c59ca4695
14a5923a8a7312
154d0de2ed52b9
hex26517088b204

42131222213124 has 24 divisors (see below), whose sum is σ = 107243111088288. Its totient is φ = 12767037034240.

The previous prime is 42131222213117. The next prime is 42131222213149.

42131222213124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42131222213091 and 42131222213100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159587962797 + ... + 159587963060.

It is an arithmetic number, because the mean of its divisors is an integer number (4468462962012).

Almost surely, 242131222213124 is an apocalyptic number.

42131222213124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42131222213124 is an abundant number, since it is smaller than the sum of its proper divisors (65111888875164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42131222213124 is a wasteful number, since it uses less digits than its factorization.

42131222213124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319175925875 (or 319175925873 counting only the distinct ones).

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

It can be divided in two parts, 4213122 and 2213124, that added together give a palindrome (6426246).

The spelling of 42131222213124 in words is "forty-two trillion, one hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 319175925857 638351851714 957527777571 1276703703428 1915055555142 3510935184427 3830111110284 7021870368854 10532805553281 14043740737708 21065611106562 42131222213124