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90133233233109 = 31128315316303901
BaseRepresentation
bin10100011111100111000111…
…010110010110110011010101
3102211010122121222220210002120
4110133213013112112303111
543303220330201424414
6515410345152130153
724661624354334613
oct2437470726266325
9384118558823076
1090133233233109
11267a0320434170
12a138511536959
133b3a6b1998541
1418386867486b3
15a6488b4a52a9
hex51f9c7596cd5

90133233233109 has 32 divisors (see below), whose sum is σ = 131652101442048. Its totient is φ = 54397613880000.

The previous prime is 90133233233107. The next prime is 90133233233119.

It is a happy number.

90133233233109 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90133233233109 - 21 = 90133233233107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90133233233101) 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, 11146059 + ... + 17449959.

It is an arithmetic number, because the mean of its divisors is an integer number (4114128170064).

Almost surely, 290133233233109 is an apocalyptic number.

It is an amenable number.

90133233233109 is a deficient number, since it is larger than the sum of its proper divisors (41518868208939).

90133233233109 is a wasteful number, since it uses less digits than its factorization.

90133233233109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305729.

The product of its (nonzero) digits is 236196, while the sum is 42.

The spelling of 90133233233109 in words is "ninety trillion, one hundred thirty-three billion, two hundred thirty-three million, two hundred thirty-three thousand, one hundred nine".

Divisors: 1 3 11 33 283 849 1531 3113 4593 9339 16841 50523 433273 1299819 4766003 6303901 14298009 18911703 69342911 208028733 1784003983 5352011949 9651272431 19624043813 28953817293 58872131439 106163996741 318491990223 2731310097973 8193930293919 30044411077703 90133233233109