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242101242 = 232101133169
BaseRepresentation
bin11100110111000…
…10101111111010
3121212120000110200
432123202233322
5443434214432
640005023030
75666553345
oct1633425772
9555500420
10242101242
11114729279
12690b4a76
133b208396
142422145c
15163c3a7c
hexe6e2bfa

242101242 has 24 divisors (see below), whose sum is σ = 529750260. Its totient is φ = 79900800.

The previous prime is 242101241. The next prime is 242101247.

242101242 is a `hidden beast` number, since 2 + 421 + 0 + 1 + 242 = 666.

242101242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 222039801 + 20061441 = 14901^2 + 4479^2 .

It is a super-2 number, since 2×2421012422 = 117226022755885128, which 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 (242101241) 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, 64767 + ... + 68402.

Almost surely, 2242101242 is an apocalyptic number.

242101242 is an abundant number, since it is smaller than the sum of its proper divisors (287649018).

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

242101242 is a wasteful number, since it uses less digits than its factorization.

242101242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133278 (or 133275 counting only the distinct ones).

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

The square root of 242101242 is about 15559.6028869634. The cubic root of 242101242 is about 623.2548582102.

It can be divided in two parts, 24210 and 1242, that added together give a palindrome (25452).

The spelling of 242101242 in words is "two hundred forty-two million, one hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 133169 266338 399507 799014 1198521 2397042 13450069 26900138 40350207 80700414 121050621 242101242