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102012336 = 24321913709
BaseRepresentation
bin1100001010010…
…01010110110000
321002221202121200
412011021112300
5202103343321
614042251200
72346043026
oct605112660
9232852550
10102012336
1152646418
122a1b6b00
131819973a
14d796716
158e50d26
hex61495b0

102012336 has 60 divisors (see below), whose sum is σ = 287064960. Its totient is φ = 33816960.

The previous prime is 102012331. The next prime is 102012341. The reversal of 102012336 is 633210201.

It is an interprime number because it is at equal distance from previous prime (102012331) and next prime (102012341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102012331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25650 + ... + 29358.

It is an arithmetic number, because the mean of its divisors is an integer number (4784416).

Almost surely, 2102012336 is an apocalyptic number.

102012336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143532480).

102012336 is an abundant number, since it is smaller than the sum of its proper divisors (185052624).

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

102012336 is a wasteful number, since it uses less digits than its factorization.

102012336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 102012336 is about 10100.1156429023. The cubic root of 102012336 is about 467.2517079740.

Adding to 102012336 its reverse (633210201), we get a palindrome (735222537).

The spelling of 102012336 in words is "one hundred two million, twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1146 1528 1719 2292 3056 3438 3709 4584 6876 7418 9168 11127 13752 14836 22254 27504 29672 33381 44508 59344 66762 89016 133524 178032 267048 534096 708419 1416838 2125257 2833676 4250514 5667352 6375771 8501028 11334704 12751542 17002056 25503084 34004112 51006168 102012336