Search a number
-
+
242362101 = 31271733677
BaseRepresentation
bin11100111001000…
…10011011110101
3121220001021022010
432130202123311
5444021041401
640014354433
76002021022
oct1634423365
9556037263
10242362101
11114897263
12691bba19
133b29a037
142428c549
1516425ed6
hexe7226f5

242362101 has 16 divisors (see below), whose sum is σ = 327665664. Its totient is φ = 159332544.

The previous prime is 242362093. The next prime is 242362129. The reversal of 242362101 is 101263242.

It is not a de Polignac number, because 242362101 - 23 = 242362093 is a prime.

It is a super-2 number, since 2×2423621012 = 117478776002268402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242362151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64075 + ... + 67751.

It is an arithmetic number, because the mean of its divisors is an integer number (20479104).

Almost surely, 2242362101 is an apocalyptic number.

It is an amenable number.

242362101 is a deficient number, since it is larger than the sum of its proper divisors (85303563).

242362101 is a wasteful number, since it uses less digits than its factorization.

242362101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 242362101 is about 15567.9832027145. The cubic root of 242362101 is about 623.4786258647.

The spelling of 242362101 in words is "two hundred forty-two million, three hundred sixty-two thousand, one hundred one".

Divisors: 1 3 127 173 381 519 3677 11031 21971 65913 466979 636121 1400937 1908363 80787367 242362101