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11313110100 = 22352173217979
BaseRepresentation
bin10101000100101000…
…00101110001010100
31002012102121112112210
422202110011301110
5141132124010400
65110331113420
7550230564165
oct124224056124
932172545483
1011313110100
114885a57076
1222388a2870
1310b3a657b6
147946d776c
154632dc950
hex2a2505c54

11313110100 has 72 divisors (see below), whose sum is σ = 32921955360. Its totient is φ = 2999377280.

The previous prime is 11313110099. The next prime is 11313110141. The reversal of 11313110100 is 101131311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57090 + ... + 160889.

It is an arithmetic number, because the mean of its divisors is an integer number (457249380).

Almost surely, 211313110100 is an apocalyptic number.

11313110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313110100 is an abundant number, since it is smaller than the sum of its proper divisors (21608845260).

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

11313110100 is a wasteful number, since it uses less digits than its factorization.

11313110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218169 (or 218162 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11313110100 its reverse (101131311), we get a palindrome (11414241411).

The spelling of 11313110100 in words is "eleven billion, three hundred thirteen million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2595 3460 4325 5190 8650 10380 12975 17300 25950 51900 217979 435958 653937 871916 1089895 1307874 2179790 2615748 3269685 4359580 5449475 6539370 10898950 13078740 16348425 21797900 32696850 37710367 65393700 75420734 113131101 150841468 188551835 226262202 377103670 452524404 565655505 754207340 942759175 1131311010 1885518350 2262622020 2828277525 3771036700 5656555050 11313110100