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102683768433 = 32313912918293
BaseRepresentation
bin101111110100001101…
…1011111011001110001
3100211001012121220102120
41133220123133121301
53140244021042213
6115101113304453
710263412426161
oct1375033373161
9324035556376
10102683768433
113a603346044
1217a98705129
1398b58320bc
144d8166a5a1
152a0eb65423
hex17e86df671

102683768433 has 32 divisors (see below), whose sum is σ = 144020997120. Its totient is φ = 64950240960.

The previous prime is 102683768417. The next prime is 102683768449. The reversal of 102683768433 is 334867386201.

It is an interprime number because it is at equal distance from previous prime (102683768417) and next prime (102683768449).

It is not a de Polignac number, because 102683768433 - 24 = 102683768417 is a prime.

It is a super-3 number, since 3×1026837684333 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102683768413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12377835 + ... + 12386127.

It is an arithmetic number, because the mean of its divisors is an integer number (4500656160).

Almost surely, 2102683768433 is an apocalyptic number.

It is an amenable number.

102683768433 is a deficient number, since it is larger than the sum of its proper divisors (41337228687).

102683768433 is a wasteful number, since it uses less digits than its factorization.

102683768433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9749.

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 102683768433 in words is "one hundred two billion, six hundred eighty-three million, seven hundred sixty-eight thousand, four hundred thirty-three".

Divisors: 1 3 23 69 139 417 1291 3197 3873 8293 9591 24879 29693 89079 179449 190739 538347 572217 1152727 3458181 4127327 10706263 12381981 26512721 32118789 79538163 246244049 738732147 1488170557 4464511671 34227922811 102683768433