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102146130 = 23351033673
BaseRepresentation
bin1100001011010…
…10000001010010
321010012120011000
412011222001102
5202122134010
614045202430
72350141062
oct605520122
9233176130
10102146130
1152727999
122a260416
13182155c8
14d7cd3a2
158e7a7c0
hex616a052

102146130 has 64 divisors (see below), whose sum is σ = 275109120. Its totient is φ = 26967168.

The previous prime is 102146119. The next prime is 102146179. The reversal of 102146130 is 31641201.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25974 + ... + 29646.

It is an arithmetic number, because the mean of its divisors is an integer number (4298580).

Almost surely, 2102146130 is an apocalyptic number.

102146130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102146130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137554560).

102146130 is an abundant number, since it is smaller than the sum of its proper divisors (172962990).

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

102146130 is a wasteful number, since it uses less digits than its factorization.

102146130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102146130 is about 10106.7368621133. The cubic root of 102146130 is about 467.4558929667.

Adding to 102146130 its reverse (31641201), we get a palindrome (133787331).

The spelling of 102146130 in words is "one hundred two million, one hundred forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 515 618 927 1030 1545 1854 2781 3090 3673 4635 5562 7346 9270 11019 13905 18365 22038 27810 33057 36730 55095 66114 99171 110190 165285 198342 330570 378319 495855 756638 991710 1134957 1891595 2269914 3404871 3783190 5674785 6809742 10214613 11349570 17024355 20429226 34048710 51073065 102146130