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102300012 = 223247103587
BaseRepresentation
bin1100001100011…
…11100101101100
321010111101020100
412012033211230
5202142100022
614052351100
72351351523
oct606174554
9233441210
10102300012
1152822571
122a315490
131826a669
14d82d4ba
158eab1ac
hex618f96c

102300012 has 72 divisors (see below), whose sum is σ = 267111936. Its totient is φ = 32994144.

The previous prime is 102300001. The next prime is 102300019. The reversal of 102300012 is 210003201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102299967 and 102300003.

It is not an unprimeable number, because it can be changed into a prime (102300019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173983 + ... + 174569.

It is an arithmetic number, because the mean of its divisors is an integer number (3709888).

Almost surely, 2102300012 is an apocalyptic number.

102300012 is a gapful number since it is divisible by the number (12) 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 102300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133555968).

102300012 is an abundant number, since it is smaller than the sum of its proper divisors (164811924).

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

102300012 is a wasteful number, since it uses less digits than its factorization.

102300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102300012 is about 10114.3468400090. The cubic root of 102300012 is about 467.6905142092.

Adding to 102300012 its reverse (210003201), we get a palindrome (312303213).

The spelling of 102300012 in words is "one hundred two million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 103 141 188 206 282 309 412 423 564 587 618 846 927 1174 1236 1692 1761 1854 2348 3522 3708 4841 5283 7044 9682 10566 14523 19364 21132 27589 29046 43569 55178 58092 60461 82767 87138 110356 120922 165534 174276 181383 241844 248301 331068 362766 496602 544149 725532 993204 1088298 2176596 2841667 5683334 8525001 11366668 17050002 25575003 34100004 51150006 102300012