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102826031 = 7112358061
BaseRepresentation
bin1100010000100…
…00000000101111
321011111002210112
412020100000233
5202310413111
614111530235
72356002230
oct610200057
9234432715
10102826031
11530517a0
122a52997b
13183c2c09
14d929087
159061e8b
hex621002f

102826031 has 16 divisors (see below), whose sum is σ = 133774848. Its totient is φ = 76639200.

The previous prime is 102826027. The next prime is 102826063. The reversal of 102826031 is 130628201.

It is not a de Polignac number, because 102826031 - 22 = 102826027 is a prime.

It is a super-2 number, since 2×1028260312 = 21146385302425922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102825988 and 102826006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102826021) 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, 27260 + ... + 30801.

It is an arithmetic number, because the mean of its divisors is an integer number (8360928).

Almost surely, 2102826031 is an apocalyptic number.

102826031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102826031 is a deficient number, since it is larger than the sum of its proper divisors (30948817).

102826031 is a wasteful number, since it uses less digits than its factorization.

102826031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58102.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 102826031 is about 10140.3171054953. The cubic root of 102826031 is about 468.4907540469.

The spelling of 102826031 in words is "one hundred two million, eight hundred twenty-six thousand, thirty-one".

Divisors: 1 7 11 23 77 161 253 1771 58061 406427 638671 1335403 4470697 9347821 14689433 102826031