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242111111242 = 271113235258027
BaseRepresentation
bin1110000101111011110…
…0100110000001001010
3212010221010202210012011
43201132330212001022
512431320421024432
6303120241210134
723330511330040
oct3413674460112
9763833683164
10242111111242
1193751457380
123ab0a63094a
1319aa587cb90
14ba0abcc390
15647046a847
hex385ef2604a

242111111242 has 64 divisors (see below), whose sum is σ = 508808853504. Its totient is φ = 83287131840.

The previous prime is 242111111201. The next prime is 242111111287.

242111111242 is nontrivially palindromic in base 10.

242111111242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2582968 + ... + 2675059.

It is an arithmetic number, because the mean of its divisors is an integer number (7950138336).

Almost surely, 2242111111242 is an apocalyptic number.

242111111242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242111111242 is an abundant number, since it is smaller than the sum of its proper divisors (266697742262).

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

242111111242 is a wasteful number, since it uses less digits than its factorization.

242111111242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258083.

The product of its digits is 256, while the sum is 22.

It can be divided in two parts, 242111 and 111242, that added together give a palindrome (353353).

The spelling of 242111111242 in words is "two hundred forty-two billion, one hundred eleven million, one hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 7 11 13 14 22 23 26 46 77 91 143 154 161 182 253 286 299 322 506 598 1001 1771 2002 2093 3289 3542 4186 6578 23023 46046 5258027 10516054 36806189 57838297 68354351 73612378 115676594 120934621 136708702 241869242 404868079 478480457 751897861 809736158 846542347 956960914 1330280831 1503795722 1572150073 1693084694 2660561662 3144300146 5263285027 9311965817 10526570054 11005050511 17293650803 18623931634 22010101022 34587301606 121055555621 242111111242