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103030200312 = 233132945724917
BaseRepresentation
bin101111111110100010…
…1000001011111111000
3100211221100111110121220
41133331011001133320
53142001212402222
6115155330432040
710305120152514
oct1377505013770
9324840443556
10103030200312
113a770953486
1217b74732620
13993c539190
144db5689144
152a30296b5c
hex17fd1417f8

103030200312 has 128 divisors (see below), whose sum is σ = 287593588800. Its totient is φ = 30540238848.

The previous prime is 103030200241. The next prime is 103030200331. The reversal of 103030200312 is 213002030301.

It is a junction number, because it is equal to n+sod(n) for n = 103030200291 and 103030200300.

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, 4122478 + ... + 4147394.

Almost surely, 2103030200312 is an apocalyptic number.

103030200312 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 103030200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143796794400).

103030200312 is an abundant number, since it is smaller than the sum of its proper divisors (184563388488).

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

103030200312 is a wasteful number, since it uses less digits than its factorization.

103030200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25425 (or 25421 counting only the distinct ones).

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

Adding to 103030200312 its reverse (213002030301), we get a palindrome (316032230613).

The spelling of 103030200312 in words is "one hundred three billion, thirty million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 457 696 754 914 1131 1371 1508 1828 2262 2742 3016 3656 4524 5484 5941 9048 10968 11882 13253 17823 23764 24917 26506 35646 39759 47528 49834 53012 71292 74751 79518 99668 106024 142584 149502 159036 172289 199336 299004 318072 323921 344578 516867 598008 647842 689156 722593 971763 1033734 1295684 1378312 1445186 1943526 2067468 2167779 2591368 2890372 3887052 4134936 4335558 5780744 7774104 8671116 9393709 11387069 17342232 18787418 22774138 28181127 34161207 37574836 45548276 56362254 68322414 75149672 91096552 112724508 136644828 148031897 225449016 273289656 296063794 330225001 444095691 592127588 660450002 888191382 990675003 1184255176 1320900004 1776382764 1981350006 2641800008 3552765528 3962700012 4292925013 7925400024 8585850026 12878775039 17171700052 25757550078 34343400104 51515100156 103030200312