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42111222211124 = 22112499743234673
BaseRepresentation
bin10011001001100110010000…
…11100001110001000110100
312112002210102110222121010022
421210303020130032020310
521004422240341223444
6225321343423144312
711604302225536013
oct1144631034161064
9175083373877108
1042111222211124
11124662a6112300
12488152b145098
131a660c05c8b81
14a582a05c0a7a
154d06222689ee
hex264cc870e234

42111222211124 has 72 divisors (see below), whose sum is σ = 81275115768000. Its totient is φ = 19077312925440.

The previous prime is 42111222211111. The next prime is 42111222211133.

42111222211124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×421112222111242 (a number of 28 digits) contains 22 as substring.

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 = 42111222211093 and 42111222211102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179329052 + ... + 179563724.

Almost surely, 242111222211124 is an apocalyptic number.

42111222211124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42111222211124 is a deficient number, since it is larger than the sum of its proper divisors (39163893556876).

42111222211124 is a wasteful number, since it uses less digits than its factorization.

42111222211124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235941 (or 235928 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

It can be divided in two parts, 4211122 and 2211124, that added together give a palindrome (6422246).

The spelling of 42111222211124 in words is "forty-two trillion, one hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 121 242 484 499 743 998 1486 1996 2972 5489 8173 10978 16346 21956 32692 60379 89903 120758 179806 234673 241516 359612 370757 469346 741514 938692 1483028 2581403 4078327 5162806 8156654 10325612 16313308 28395433 44861597 56790866 89723194 113581732 117101827 174362039 179446388 234203654 348724078 468407308 697448156 1288120097 1917982429 2576240194 3835964858 5152480388 7671929716 14169321067 21097806719 28338642134 42195613438 56677284268 84391226876 87006657461 174013314922 348026629844 957073232071 1914146464142 3828292928284 10527805552781 21055611105562 42111222211124