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103130232304 = 241131111711609
BaseRepresentation
bin110000000001100001…
…0100111010111110000
3100212012022201121201111
41200003002213113300
53142202314413204
6115213302443104
710310443340131
oct1400302472760
9325168647644
10103130232304
113a812366a50
1217ba2133494
1399571913c8
144dc4a87c88
152a38e55d04
hex18030a75f0

103130232304 has 80 divisors (see below), whose sum is σ = 219003482880. Its totient is φ = 46657728000.

The previous prime is 103130232253. The next prime is 103130232313. The reversal of 103130232304 is 403232031301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 64095052 + ... + 64096660.

It is an arithmetic number, because the mean of its divisors is an integer number (2737543536).

Almost surely, 2103130232304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103130232304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109501741440).

103130232304 is an abundant number, since it is smaller than the sum of its proper divisors (115873250576).

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

103130232304 is a wasteful number, since it uses less digits than its factorization.

103130232304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 103130232304 its reverse (403232031301), we get a palindrome (506362263605).

The spelling of 103130232304 in words is "one hundred three billion, one hundred thirty million, two hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 311 622 1171 1244 1609 2342 2488 3218 3421 4684 4976 6436 6842 9368 12872 12881 13684 17699 18736 25744 25762 27368 35398 51524 54736 70796 103048 141592 206096 283184 364181 500399 728362 1000798 1456724 1884139 2001596 2913448 3768278 4003192 4005991 5504389 5826896 7536556 8006384 8011982 11008778 15073112 16023964 20725529 22017556 30146224 32047928 41451058 44035112 64095856 82902116 88070224 165804232 331608464 585967229 1171934458 2343868916 4687737832 6445639519 9375475664 12891279038 25782558076 51565116152 103130232304