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331043040340133 = 1136711933111653
BaseRepresentation
bin100101101000101001111011…
…0110100110010100010100101
31121102010101221200001120220212
41023101103312310302202211
5321342302121311341013
63132023023453505205
7126505033100604452
oct11321236664624245
91542111850046825
10331043040340133
1196531623aa8000
12311664384a2205
13112942bca2bc84
145ba67d6500829
1528412c87476a8
hex12d14f6d328a5

331043040340133 has 32 divisors (see below), whose sum is σ = 369867026535552. Its totient is φ = 296207862234240.

The previous prime is 331043040340081. The next prime is 331043040340279.

331043040340133 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-331043040340133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331043040340133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331043040040133) 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, 104832335 + ... + 107943987.

It is an arithmetic number, because the mean of its divisors is an integer number (11558344579236).

Almost surely, 2331043040340133 is an apocalyptic number.

It is an amenable number.

331043040340133 is a deficient number, since it is larger than the sum of its proper divisors (38823986195419).

331043040340133 is a wasteful number, since it uses less digits than its factorization.

331043040340133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112946 (or 3112924 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

The spelling of 331043040340133 in words is "three hundred thirty-one trillion, forty-three billion, forty million, three hundred forty thousand, one hundred thirty-three".

Divisors: 1 11 67 121 737 1193 1331 8107 13123 79931 89177 144353 879241 1587883 3111653 9671651 34228183 106388161 208480751 376510013 2293288261 3712202029 4141610143 25226170871 40834222319 248717535943 277487879581 449176445509 2735892895373 4940940900599 30094821849103 331043040340133