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331540045133 = 1132310830041
BaseRepresentation
bin1001101001100010101…
…00111001110101001101
31011200202121002022212212
410310301110321311031
520412443222421013
6412150221440205
732644604612603
oct4646124716515
91150677068785
10331540045133
11118672792000
1254308110065
13253582971cb
1412091d15873
1589565e26a8
hex4d31539d4d

331540045133 has 16 divisors (see below), whose sum is σ = 380524355712. Its totient is φ = 288295664800.

The previous prime is 331540045129. The next prime is 331540045139.

331540045133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331540045133 - 22 = 331540045129 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 331540045133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331540045139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5384408 + ... + 5445633.

It is an arithmetic number, because the mean of its divisors is an integer number (23782772232).

Almost surely, 2331540045133 is an apocalyptic number.

It is an amenable number.

331540045133 is a deficient number, since it is larger than the sum of its proper divisors (48984310579).

331540045133 is a wasteful number, since it uses less digits than its factorization.

331540045133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10830097 (or 10830075 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 331540045133 in words is "three hundred thirty-one billion, five hundred forty million, forty-five thousand, one hundred thirty-three".

Divisors: 1 11 23 121 253 1331 2783 30613 10830041 119130451 249090943 1310434961 2740000373 14414784571 30140004103 331540045133