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242042031 = 327112331499
BaseRepresentation
bin11100110110101…
…00010010101111
3121212110000020200
432123110102233
5443430321111
640003444543
75666215620
oct1633242257
9555400220
10242042031
11114698840
1269086753
133b1b744a
1424207a47
15163b1256
hexe6d44af

242042031 has 48 divisors (see below), whose sum is σ = 438048000. Its totient is φ = 125112960.

The previous prime is 242042011. The next prime is 242042071. The reversal of 242042031 is 130240242.

242042031 is a `hidden beast` number, since 242 + 0 + 420 + 3 + 1 = 666.

It is not a de Polignac number, because 242042031 - 213 = 242033839 is a prime.

It is a super-2 number, since 2×2420420312 = 117168689541209922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242041995 and 242042013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242042011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160720 + ... + 162218.

It is an arithmetic number, because the mean of its divisors is an integer number (9126000).

Almost surely, 2242042031 is an apocalyptic number.

242042031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242042031 is a deficient number, since it is larger than the sum of its proper divisors (196005969).

242042031 is a wasteful number, since it uses less digits than its factorization.

242042031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242042031 is about 15557.7000549567. The cubic root of 242042031 is about 623.2040439971.

Adding to 242042031 its reverse (130240242), we get a palindrome (372282273).

The spelling of 242042031 in words is "two hundred forty-two million, forty-two thousand, thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 233 693 699 1499 1631 2097 2563 4497 4893 7689 10493 13491 14679 16489 17941 23067 31479 49467 53823 94437 115423 148401 161469 346269 349267 1038807 1047801 2444869 3143403 3841937 7334607 11525811 22003821 26893559 34577433 80680677 242042031