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330121042000431 = 31127737019757991
BaseRepresentation
bin100101100001111100100101…
…1011100001111101000101111
31121021212021010000112001201020
41023003321023130033220233
5321232200343223003211
63130035302453345223
7126351313111201653
oct11303711334175057
91537767100461636
10330121042000431
1196206602a75a80
1231037805038213
1311228385882816
145b73d2d68aa63
152827314d19306
hex12c3e4b70fa2f

330121042000431 has 32 divisors (see below), whose sum is σ = 482039808708096. Its totient is φ = 199297187760000.

The previous prime is 330121042000429. The next prime is 330121042000481. The reversal of 330121042000431 is 134000240121033.

It is a happy number.

It is not a de Polignac number, because 330121042000431 - 21 = 330121042000429 is a prime.

It is a super-2 number, since 2×3301210420004312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330121042000481) 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, 28951846 + ... + 38709836.

It is an arithmetic number, because the mean of its divisors is an integer number (15063744022128).

Almost surely, 2330121042000431 is an apocalyptic number.

330121042000431 is a deficient number, since it is larger than the sum of its proper divisors (151918766707665).

330121042000431 is a wasteful number, since it uses less digits than its factorization.

330121042000431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761983.

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

Adding to 330121042000431 its reverse (134000240121033), we get a palindrome (464121282121464).

The spelling of 330121042000431 in words is "three hundred thirty trillion, one hundred twenty-one billion, forty-two million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 11 33 277 831 3047 3701 9141 11103 40711 122133 1025177 3075531 9757991 11276947 29273973 33830841 107337901 322013703 2702963507 8108890521 29732598577 36114324691 89197795731 108342974073 397257571601 1191772714803 10003667939407 30011003818221 110040347333477 330121042000431