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113120100200 = 23529710356611
BaseRepresentation
bin110100101011001111…
…0111011111101101000
3101210222112102111012202
41221112132323331220
53323132221201300
6123544444155332
711113135662332
oct1512636737550
9353875374182
10113120100200
1143a79390618
1219b0b838b48
13a889a41b43
145691730452
152e20eb1ad5
hex1a567bbf68

113120100200 has 96 divisors (see below), whose sum is σ = 268300119360. Its totient is φ = 44346009600.

The previous prime is 113120100187. The next prime is 113120100211. The reversal of 113120100200 is 2001021311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1969895 + ... + 2026505.

It is an arithmetic number, because the mean of its divisors is an integer number (2794792910).

Almost surely, 2113120100200 is an apocalyptic number.

113120100200 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 113120100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134150059680).

113120100200 is an abundant number, since it is smaller than the sum of its proper divisors (155180019160).

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

113120100200 is a wasteful number, since it uses less digits than its factorization.

113120100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56827 (or 56818 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 113120100200 its reverse (2001021311), we get a palindrome (115121121511).

The spelling of 113120100200 in words is "one hundred thirteen billion, one hundred twenty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 103 194 200 206 388 412 485 515 776 824 970 1030 1940 2060 2425 2575 3880 4120 4850 5150 9700 9991 10300 19400 19982 20600 39964 49955 56611 79928 99910 113222 199820 226444 249775 283055 399640 452888 499550 566110 999100 1132220 1415275 1998200 2264440 2830550 5491267 5661100 5830933 10982534 11322200 11661866 21965068 23323732 27456335 29154665 43930136 46647464 54912670 58309330 109825340 116618660 137281675 145773325 219650680 233237320 274563350 291546650 549126700 565600501 583093300 1098253400 1131201002 1166186600 2262402004 2828002505 4524804008 5656005010 11312010020 14140012525 22624020040 28280025050 56560050100 113120100200