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330131120442 = 233116843105379
BaseRepresentation
bin1001100110111010101…
…10010010000100111010
31011120010101221112112220
410303131112102010322
520402102031323232
6411354331344510
732564646136464
oct4633526220472
91146111845486
10330131120442
1111800a458032
1253b942b2136
1325192412466
1411d9ab5d134
1588c2a8842c
hex4cdd59213a

330131120442 has 32 divisors (see below), whose sum is σ = 681607956480. Its totient is φ = 106486576560.

The previous prime is 330131120437. The next prime is 330131120491. The reversal of 330131120442 is 244021131033.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3080109 + ... + 3185487.

It is an arithmetic number, because the mean of its divisors is an integer number (21300248640).

Almost surely, 2330131120442 is an apocalyptic number.

330131120442 is an abundant number, since it is smaller than the sum of its proper divisors (351476836038).

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

330131120442 is a wasteful number, since it uses less digits than its factorization.

330131120442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122258.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 330131120442 its reverse (244021131033), we get a palindrome (574152251475).

It can be divided in two parts, 3301311 and 20442, that added together give a triangular number (3321753 = T2577).

The spelling of 330131120442 in words is "three hundred thirty billion, one hundred thirty-one million, one hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 31 62 93 186 16843 33686 50529 101058 105379 210758 316137 522133 632274 1044266 1566399 3132798 3266749 6533498 9800247 19600494 1774898497 3549796994 5324695491 10649390982 55021853407 110043706814 165065560221 330131120442