Search a number
-
+
42301431023121 = 331566719667523
BaseRepresentation
bin10011001111001000100011…
…10001010000011000010001
312112202222101110102101201000
421213210101301100120101
521021031312320214441
6225545001550132213
711624114616006264
oct1147442161203021
9175688343371630
1042301431023121
1112529a3301aa96
1248b23737b1069
131a7b01427ba7a
14a63586176cdb
154d5555d2a2b6
hex267911c50611

42301431023121 has 8 divisors (see below), whose sum is σ = 62668786700960. Its totient is φ = 28200954015396.

The previous prime is 42301431023113. The next prime is 42301431023161. The reversal of 42301431023121 is 12132013410324.

42301431023121 is a `hidden beast` number, since 4 + 2 + 30 + 1 + 4 + 310 + 2 + 312 + 1 = 666.

It is not a de Polignac number, because 42301431023121 - 23 = 42301431023113 is a prime.

It is a super-2 number, since 2×423014310231212 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1566719667523 = 42301431023121 / (4 + 2 + 3 + 0 + 1 + 4 + 3 + 1 + 0 + 2 + 3 + 1 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42301431023161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783359833735 + ... + 783359833788.

It is an arithmetic number, because the mean of its divisors is an integer number (7833598337620).

Almost surely, 242301431023121 is an apocalyptic number.

It is an amenable number.

42301431023121 is a deficient number, since it is larger than the sum of its proper divisors (20367355677839).

42301431023121 is a wasteful number, since it uses less digits than its factorization.

42301431023121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566719667532 (or 1566719667526 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 42301431023121 its reverse (12132013410324), we get a palindrome (54433444433445).

It can be divided in two parts, 4230143 and 1023121, that added together give a square (5253264 = 22922).

The spelling of 42301431023121 in words is "forty-two trillion, three hundred one billion, four hundred thirty-one million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 27 1566719667523 4700159002569 14100477007707 42301431023121