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103300230012 = 22377346736073
BaseRepresentation
bin110000000110100101…
…1000110101101111100
3100212122011121101201220
41200031023012231330
53143024324330022
6115242214233340
710314606316230
oct1401513065574
9325564541656
10103300230012
113a89a317821
121802b055850
139983472675
144ddd49a5c0
152a48d3585c
hex180d2c6b7c

103300230012 has 96 divisors (see below), whose sum is σ = 279846508032. Its totient is φ = 29046905856.

The previous prime is 103300229993. The next prime is 103300230029. The reversal of 103300230012 is 210032003301.

It is a junction number, because it is equal to n+sod(n) for n = 103300229973 and 103300230000.

It is a congruent number.

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, 2845608 + ... + 2881680.

It is an arithmetic number, because the mean of its divisors is an integer number (2915067792).

Almost surely, 2103300230012 is an apocalyptic number.

103300230012 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 103300230012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139923254016).

103300230012 is an abundant number, since it is smaller than the sum of its proper divisors (176546278020).

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

103300230012 is a wasteful number, since it uses less digits than its factorization.

103300230012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36627 (or 36625 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103300230012 its reverse (210032003301), we get a palindrome (313332233313).

The spelling of 103300230012 in words is "one hundred three billion, three hundred million, two hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 467 511 876 934 1022 1401 1533 1868 2044 2802 3066 3269 5604 6132 6538 9807 13076 19614 34091 36073 39228 68182 72146 102273 108219 136364 144292 204546 216438 238637 252511 409092 432876 477274 505022 715911 757533 954548 1010044 1431822 1515066 2633329 2863644 3030132 5266658 7899987 10533316 15799974 16846091 18433303 31599948 33692182 36866606 50538273 55299909 67384364 73733212 101076546 110599818 117922637 202153092 221199636 235845274 353767911 471690548 707535822 1229764643 1415071644 2459529286 3689293929 4919058572 7378587858 8608352501 14757175716 17216705002 25825057503 34433410004 51650115006 103300230012