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242100001242 = 232111222727279
BaseRepresentation
bin1110000101111001001…
…0001101100111011010
3212010220100212100010200
43201132102031213122
512431310100014432
6303115203123030
723330315025261
oct3413622154732
9763810770120
10242100001242
1193746159260
123ab06973476
1319aa3490008
14ba095395d8
15646e4c3a7c
hex385e48d9da

242100001242 has 24 divisors (see below), whose sum is σ = 572236367040. Its totient is φ = 73363636680.

The previous prime is 242100001201. The next prime is 242100001243.

242100001242 is a `hidden beast` number, since 2 + 421 + 0 + 0 + 0 + 0 + 1 + 242 = 666.

242100001242 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2421000012422 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242100001243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611363442 + ... + 611363837.

It is an arithmetic number, because the mean of its divisors is an integer number (23843181960).

Almost surely, 2242100001242 is an apocalyptic number.

242100001242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242100001242 is an abundant number, since it is smaller than the sum of its proper divisors (330136365798).

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

242100001242 is a wasteful number, since it uses less digits than its factorization.

242100001242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222727298 (or 1222727295 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 24210000 and 1242, that added together give a palindrome (24211242).

The spelling of 242100001242 in words is "two hundred forty-two billion, one hundred million, one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1222727279 2445454558 3668181837 7336363674 11004545511 13450000069 22009091022 26900000138 40350000207 80700000414 121050000621 242100001242