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242131130433 = 32192233319849
BaseRepresentation
bin1110000110000000100…
…0111101100001000001
3212010222112102212100200
43201200020331201001
512431341032133213
6303122234235413
723331143436033
oct3414010754101
9763875385320
10242131130433
1193761790065
123ab15285b69
1319aa9a6bc5a
14ba0d71dc53
1564720c2273
hex386023d841

242131130433 has 36 divisors (see below), whose sum is σ = 370706789700. Its totient is φ = 152268118272.

The previous prime is 242131130431. The next prime is 242131130443. The reversal of 242131130433 is 334031131242.

It is a happy number.

242131130433 is a `hidden beast` number, since 2 + 4 + 213 + 1 + 13 + 0 + 433 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23615083584 + 218516046849 = 153672^2 + 467457^2 .

It is not a de Polignac number, because 242131130433 - 21 = 242131130431 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242131130397 and 242131130406.

It is not an unprimeable number, because it can be changed into a prime (242131130431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 597093 + ... + 916941.

It is an arithmetic number, because the mean of its divisors is an integer number (10297410825).

Almost surely, 2242131130433 is an apocalyptic number.

It is an amenable number.

242131130433 is a deficient number, since it is larger than the sum of its proper divisors (128575659267).

242131130433 is a wasteful number, since it uses less digits than its factorization.

242131130433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320126 (or 320104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 242131130433 its reverse (334031131242), we get a palindrome (576162261675).

The spelling of 242131130433 in words is "two hundred forty-two billion, one hundred thirty-one million, one hundred thirty thousand, four hundred thirty-three".

Divisors: 1 3 9 19 57 171 233 361 699 1083 2097 3249 4427 13281 39843 84113 252339 319849 757017 959547 2878641 6077131 18231393 54694179 74524817 115465489 223574451 346396467 670723353 1039189401 1415971523 4247914569 12743743707 26903458937 80710376811 242131130433