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100083435085 = 519372769547
BaseRepresentation
bin101110100110101110…
…0000000011001001101
3100120022222122021200001
41131031130000121031
53114432324410320
6113551103204301
710142106106324
oct1351534003115
9316288567601
10100083435085
1139499543117
12174918a6691
13958cba350a
144bb617d0bb
15290b71b20a
hex174d70064d

100083435085 has 24 divisors (see below), whose sum is σ = 129930484320. Its totient is φ = 73802539584.

The previous prime is 100083435059. The next prime is 100083435091. The reversal of 100083435085 is 580534380001.

It is a de Polignac number, because none of the positive numbers 2k-100083435085 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254719 + ... + 514828.

It is an arithmetic number, because the mean of its divisors is an integer number (5413770180).

Almost surely, 2100083435085 is an apocalyptic number.

It is an amenable number.

100083435085 is a deficient number, since it is larger than the sum of its proper divisors (29847049235).

100083435085 is an equidigital number, since it uses as much as digits as its factorization.

100083435085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769645 (or 769608 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 100083435085 in words is "one hundred billion, eighty-three million, four hundred thirty-five thousand, eighty-five".

Divisors: 1 5 19 37 95 185 703 1369 3515 6845 26011 130055 769547 3847735 14621393 28473239 73106965 142366195 540991541 1053509843 2704957705 5267549215 20016687017 100083435085