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330303120012131 = 72949119603169049
BaseRepresentation
bin100101100011010001011000…
…0001000101111001101100011
31121022111200002100102102010012
41023012202300020233031203
5321243141242210342011
63130255054125155135
7126400420141566140
oct11306426010571543
91538450070372105
10330303120012131
11962768482980a2
1231066b5a6bbaab
131123c5b1b86796
145b7ca8344b3c7
15282be1eb94a8b
hex12c68b022f363

330303120012131 has 32 divisors (see below), whose sum is σ = 391323756096000. Its totient is φ = 272782046718720.

The previous prime is 330303120012077. The next prime is 330303120012133. The reversal of 330303120012131 is 131210021303033.

It is not a de Polignac number, because 330303120012131 - 222 = 330303115817827 is a prime.

It is a super-2 number, since 2×3303031200121312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330303120012097 and 330303120012106.

It is not an unprimeable number, because it can be changed into a prime (330303120012133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1953805295 + ... + 1953974343.

It is an arithmetic number, because the mean of its divisors is an integer number (12228867378000).

Almost surely, 2330303120012131 is an apocalyptic number.

330303120012131 is a deficient number, since it is larger than the sum of its proper divisors (61020636083869).

330303120012131 is a wasteful number, since it uses less digits than its factorization.

330303120012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189179.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 330303120012131 its reverse (131210021303033), we get a palindrome (461513141315164).

The spelling of 330303120012131 in words is "three hundred thirty trillion, three hundred three billion, one hundred twenty million, twelve thousand, one hundred thirty-one".

Divisors: 1 7 29 203 491 3437 14239 19603 99673 137221 169049 568487 1183343 3979409 4902421 9625073 34316947 67375511 83003059 279127117 581021413 1953889819 2407088711 3313867547 16849620977 23197072829 96102158863 672715112041 1627108965577 11389762759039 47186160001733 330303120012131