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102300132 = 223111077243
BaseRepresentation
bin1100001100011…
…11100111100100
321010111101101210
412012033213210
5202142101012
614052351420
72351352054
oct606174744
9233441353
10102300132
1152822670
122a315570
131826a72c
14d82d564
158eab23c
hex618f9e4

102300132 has 48 divisors (see below), whose sum is σ = 262870272. Its totient is φ = 30706080.

The previous prime is 102300119. The next prime is 102300157. The reversal of 102300132 is 231003201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10503 + ... + 17745.

It is an arithmetic number, because the mean of its divisors is an integer number (5476464).

Almost surely, 2102300132 is an apocalyptic number.

102300132 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 102300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131435136).

102300132 is an abundant number, since it is smaller than the sum of its proper divisors (160570140).

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

102300132 is a wasteful number, since it uses less digits than its factorization.

102300132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102300132 is about 10114.3527721748. The cubic root of 102300132 is about 467.6906970793.

Adding to 102300132 its reverse (231003201), we get a palindrome (333303333).

The spelling of 102300132 in words is "one hundred two million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 7062 7243 14124 14486 21729 28972 43458 79673 86916 159346 239019 318692 478038 775001 956076 1550002 2325003 3100004 4650006 8525011 9300012 17050022 25575033 34100044 51150066 102300132