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420126788331 = 32371261642007
BaseRepresentation
bin1100001110100011000…
…00100000101011101011
31111011102100200011010200
412013101200200223223
523340404424211311
6521000435043243
742232063531125
oct6072140405353
91434370604120
10420126788331
111521a168a368
126950b740523
1330805378953
1416497250215
15addd85b556
hex61d1820aeb

420126788331 has 12 divisors (see below), whose sum is σ = 623251151952. Its totient is φ = 272514673296.

The previous prime is 420126788329. The next prime is 420126788359. The reversal of 420126788331 is 133887621024.

420126788331 is a `hidden beast` number, since 420 + 126 + 78 + 8 + 3 + 31 = 666.

It is not a de Polignac number, because 420126788331 - 21 = 420126788329 is a prime.

It is a super-2 number, since 2×4201267883312 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (420126789331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630820671 + ... + 630821336.

It is an arithmetic number, because the mean of its divisors is an integer number (51937595996).

Almost surely, 2420126788331 is an apocalyptic number.

420126788331 is a deficient number, since it is larger than the sum of its proper divisors (203124363621).

420126788331 is a wasteful number, since it uses less digits than its factorization.

420126788331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261642050 (or 1261642047 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 420126788331 in words is "four hundred twenty billion, one hundred twenty-six million, seven hundred eighty-eight thousand, three hundred thirty-one".

Divisors: 1 3 9 37 111 333 1261642007 3784926021 11354778063 46680754259 140042262777 420126788331