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12113322100 = 22521129711031
BaseRepresentation
bin10110100100000001…
…01010000001110100
31011021012100112001021
423102000222001310
5144302002301400
65321554310524
7606115352605
oct132200520164
934235315037
1012113322100
115156722200
122420888444
1311b0791019
1482cab9dac
154ad6a771a
hex2d202a074

12113322100 has 108 divisors (see below), whose sum is σ = 28950584544. Its totient is φ = 4396040000.

The previous prime is 12113322083. The next prime is 12113322113. The reversal of 12113322100 is 122331121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11748585 + ... + 11749615.

It is an arithmetic number, because the mean of its divisors is an integer number (268060968).

Almost surely, 212113322100 is an apocalyptic number.

12113322100 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 12113322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14475292272).

12113322100 is an abundant number, since it is smaller than the sum of its proper divisors (16837262444).

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

12113322100 is a wasteful number, since it uses less digits than its factorization.

12113322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2020 counting only the distinct ones).

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

Adding to 12113322100 its reverse (122331121), we get a palindrome (12235653221).

The spelling of 12113322100 in words is "twelve billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 971 1031 1100 1210 1942 2062 2420 3025 3884 4124 4855 5155 6050 9710 10310 10681 11341 12100 19420 20620 21362 22682 24275 25775 42724 45364 48550 51550 53405 56705 97100 103100 106810 113410 117491 124751 213620 226820 234982 249502 267025 283525 469964 499004 534050 567050 587455 623755 1001101 1068100 1134100 1174910 1247510 2002202 2349820 2495020 2937275 3118775 4004404 5005505 5874550 6237550 10011010 11012111 11749100 12475100 20022020 22024222 25027525 44048444 50055050 55060555 100110100 110121110 121133221 220242220 242266442 275302775 484532884 550605550 605666105 1101211100 1211332210 2422664420 3028330525 6056661050 12113322100