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113003141300 = 22527479337021
BaseRepresentation
bin110100100111110000…
…0110001100010110100
3101210200101100100202122
41221033200301202310
53322412301010200
6123525105255112
711110215565310
oct1511740614264
9353611310678
10113003141300
1143a19366675
1219a98634498
13a86b7411aa
14567dda6b40
152e15aac385
hex1a4f8318b4

113003141300 has 72 divisors (see below), whose sum is σ = 280833692160. Its totient is φ = 38662934400.

The previous prime is 113003141297. The next prime is 113003141309. The reversal of 113003141300 is 3141300311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113003141309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166790 + ... + 503810.

Almost surely, 2113003141300 is an apocalyptic number.

113003141300 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 113003141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140416846080).

113003141300 is an abundant number, since it is smaller than the sum of its proper divisors (167830550860).

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

113003141300 is a wasteful number, since it uses less digits than its factorization.

113003141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337521 (or 337514 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 113003141300 its reverse (3141300311), we get a palindrome (116144441611).

The spelling of 113003141300 in words is "one hundred thirteen billion, three million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 479 700 958 1916 2395 3353 4790 6706 9580 11975 13412 16765 23950 33530 47900 67060 83825 167650 335300 337021 674042 1348084 1685105 2359147 3370210 4718294 6740420 8425525 9436588 11795735 16851050 23591470 33702100 47182940 58978675 117957350 161433059 235914700 322866118 645732236 807165295 1130031413 1614330590 2260062826 3228661180 4035826475 4520125652 5650157065 8071652950 11300314130 16143305900 22600628260 28250785325 56501570650 113003141300