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102833852085 = 3253197759959
BaseRepresentation
bin101111111000101100…
…0000000111010110101
3100211102200000221111100
41133301120000322311
53141100431231320
6115124034200313
710300214214636
oct1376130007265
9324380027440
10102833852085
113a680035118
1217b1aa23099
13990a9600b3
144d9757788d
152a1ce0e790
hex17f1600eb5

102833852085 has 48 divisors (see below), whose sum is σ = 185892295680. Its totient is φ = 52528296960.

The previous prime is 102833851997. The next prime is 102833852123. The reversal of 102833852085 is 580258338201.

102833852085 is a `hidden beast` number, since 10 + 2 + 8 + 3 + 38 + 520 + 85 = 666.

It is not a de Polignac number, because 102833852085 - 29 = 102833851573 is a prime.

It is a super-2 number, since 2×1028338520852 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 102833852085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244665 + ... + 515294.

It is an arithmetic number, because the mean of its divisors is an integer number (3872756160).

Almost surely, 2102833852085 is an apocalyptic number.

102833852085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102833852085 is a deficient number, since it is larger than the sum of its proper divisors (83058443595).

102833852085 is a wasteful number, since it uses less digits than its factorization.

102833852085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760098 (or 760095 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 102833852085 in words is "one hundred two billion, eight hundred thirty-three million, eight hundred fifty-two thousand, eighty-five".

Divisors: 1 3 5 9 15 31 45 93 97 155 279 291 465 485 873 1395 1455 3007 4365 9021 15035 27063 45105 135315 759959 2279877 3799795 6839631 11399385 23558729 34198155 70676187 73716023 117793645 212028561 221148069 353380935 368580115 663444207 1060142805 1105740345 2285196713 3317221035 6855590139 11425983565 20566770417 34277950695 102833852085