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113201430100 = 225211307335213
BaseRepresentation
bin110100101101101010…
…1001011111001010100
3101211012012110110212021
41221123111023321110
53323314031230400
6124000511302524
711115144164623
oct1513325137124
9354165413767
10113201430100
114401028aa10
1219b32b1aa44
13a8a0849645
14569c4616ba
152e281c971a
hex1a5b54be54

113201430100 has 72 divisors (see below), whose sum is σ = 268852354848. Its totient is φ = 41029948800.

The previous prime is 113201430059. The next prime is 113201430103. The reversal of 113201430100 is 1034102311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113201430103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170094 + ... + 505306.

It is an arithmetic number, because the mean of its divisors is an integer number (3734060484).

Almost surely, 2113201430100 is an apocalyptic number.

113201430100 is a gapful number since it is divisible by the number (10) 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 113201430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134426177424).

113201430100 is an abundant number, since it is smaller than the sum of its proper divisors (155650924748).

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

113201430100 is a wasteful number, since it uses less digits than its factorization.

113201430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335545 (or 335538 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113201430100 its reverse (1034102311), we get a palindrome (114235532411).

The spelling of 113201430100 in words is "one hundred thirteen billion, two hundred one million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 307 550 614 1100 1228 1535 3070 3377 6140 6754 7675 13508 15350 16885 30700 33770 67540 84425 168850 335213 337700 670426 1340852 1676065 3352130 3687343 6704260 7374686 8380325 14749372 16760650 18436715 33521300 36873430 73746860 92183575 102910391 184367150 205820782 368734300 411641564 514551955 1029103910 1132014301 2058207820 2264028602 2572759775 4528057204 5145519550 5660071505 10291039100 11320143010 22640286020 28300357525 56600715050 113201430100