Search a number
-
+
303213131442 = 232136719340039
BaseRepresentation
bin1000110100110001110…
…10010011011010110010
31001222122110000000110100
410122120322103122302
514431440030201232
6351143313413230
730622622043444
oct4323072233262
91058573000410
10303213131442
111076569a9531
124a92156a216
1322792717410
1410965b88494
157d49802c7c
hex4698e936b2

303213131442 has 48 divisors (see below), whose sum is σ = 718057005120. Its totient is φ = 91903860576.

The previous prime is 303213131437. The next prime is 303213131447. The reversal of 303213131442 is 244131312303.

It is a happy number.

303213131442 is a `hidden beast` number, since 3 + 0 + 3 + 213 + 1 + 3 + 1 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (303213131437) and next prime (303213131447).

It is not an unprimeable number, because it can be changed into a prime (303213131447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9654342 + ... + 9685697.

It is an arithmetic number, because the mean of its divisors is an integer number (14959520940).

Almost surely, 2303213131442 is an apocalyptic number.

303213131442 is an abundant number, since it is smaller than the sum of its proper divisors (414843873678).

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

303213131442 is a wasteful number, since it uses less digits than its factorization.

303213131442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19340127 (or 19340124 counting only the distinct ones).

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

Adding to 303213131442 its reverse (244131312303), we get a palindrome (547344443745).

The spelling of 303213131442 in words is "three hundred three billion, two hundred thirteen million, one hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 117 134 201 234 402 603 871 1206 1742 2613 5226 7839 15678 19340039 38680078 58020117 116040234 174060351 251420507 348120702 502841014 754261521 1295782613 1508523042 2262784563 2591565226 3887347839 4525569126 7774695678 11662043517 16845173969 23324087034 33690347938 50535521907 101071043814 151606565721 303213131442