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103130082 = 232114312113
BaseRepresentation
bin1100010010110…
…10001111100010
321012001112212200
412021122033202
5202400130312
614122234030
72361406536
oct611321742
9235045780
10103130082
115323a180
122a655916
131849b423
14d9a7bc6
1590c20dc
hex625a3e2

103130082 has 48 divisors (see below), whose sum is σ = 249451488. Its totient is φ = 30522240.

The previous prime is 103130059. The next prime is 103130107. The reversal of 103130082 is 280031301.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2458 + ... + 14570.

It is an arithmetic number, because the mean of its divisors is an integer number (5196906).

Almost surely, 2103130082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103130082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124725744).

103130082 is an abundant number, since it is smaller than the sum of its proper divisors (146321406).

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

103130082 is a wasteful number, since it uses less digits than its factorization.

103130082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175 (or 12172 counting only the distinct ones).

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

The square root of 103130082 is about 10155.2982230952. The cubic root of 103130082 is about 468.9520669079.

Adding to 103130082 its reverse (280031301), we get a palindrome (383161383).

It can be divided in two parts, 1031 and 30082, that added together give a palindrome (31113).

The spelling of 103130082 in words is "one hundred three million, one hundred thirty thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 12113 24226 36339 72678 109017 133243 218034 266486 399729 520859 799458 1041718 1199187 1562577 2398374 3125154 4687731 5729449 9375462 11458898 17188347 34376694 51565041 103130082