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42111111111124 = 22112411756152501
BaseRepresentation
bin10011001001100110000011…
…10100011010000111010100
312112002210010201221010120111
421210303001310122013110
521004422023421023444
6225321324414012404
711604266406313216
oct1144630164320724
9175083121833514
1042111111111124
111246624942a220
1248814b9aa7104
131a660a3599c23
14a5828d9405b6
154d0617620234
hex264cc1d1a1d4

42111111111124 has 48 divisors (see below), whose sum is σ = 80439453283392. Its totient is φ = 19130580000000.

The previous prime is 42111111111107. The next prime is 42111111111169.

42111111111124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 = 42111111111095 and 42111111111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802074874 + ... + 802127374.

It is an arithmetic number, because the mean of its divisors is an integer number (1675821943404).

Almost surely, 242111111111124 is an apocalyptic number.

42111111111124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42111111111124 is a deficient number, since it is larger than the sum of its proper divisors (38328342172268).

42111111111124 is a wasteful number, since it uses less digits than its factorization.

42111111111124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62488 (or 62486 counting only the distinct ones).

The product of its digits is 64, while the sum is 22.

It can be divided in two parts, 4211111 and 1111124, that added together give a palindrome (5322235).

The spelling of 42111111111124 in words is "forty-two trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 2411 4822 7561 9644 15122 26521 30244 52501 53042 83171 105002 106084 166342 210004 332684 577511 1155022 2310044 18229571 36459142 72918284 126579911 200525281 253159822 396960061 401050562 506319644 793920122 802101124 1392379021 1587840244 2784758042 4366560671 5569516084 8733121342 17466242684 957070707071 1914141414142 3828282828284 10527777777781 21055555555562 42111111111124