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102299124 = 223232912781
BaseRepresentation
bin1100001100011…
…11010111110100
321010111100000110
412012033113310
5202142032444
614052343020
72351346114
oct606172764
9233440013
10102299124
1152821934
122a314a70
131826a135
14d82d044
158eaacb9
hex618f5f4

102299124 has 48 divisors (see below), whose sum is σ = 257685120. Its totient is φ = 31489920.

The previous prime is 102299069. The next prime is 102299129. The reversal of 102299124 is 421992201.

It is a happy number.

It is a super-2 number, since 2×1022991242 = 20930221542334752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102299091 and 102299100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102299129) 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, 1614 + ... + 14394.

It is an arithmetic number, because the mean of its divisors is an integer number (5368440).

Almost surely, 2102299124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102299124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128842560).

102299124 is an abundant number, since it is smaller than the sum of its proper divisors (155385996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102299124 is a wasteful number, since it uses less digits than its factorization.

102299124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12840 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 102299124 is about 10114.3029418739. The cubic root of 102299124 is about 467.6891609660.

The spelling of 102299124 in words is "one hundred two million, two hundred ninety-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 4002 8004 12781 25562 38343 51124 76686 153372 293963 370649 587926 741298 881889 1111947 1175852 1482596 1763778 2223894 3527556 4447788 8524927 17049854 25574781 34099708 51149562 102299124