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10112110300 = 2252596128097
BaseRepresentation
bin10010110101011101…
…01000111011011100
3222002201201102112201
421122232220323130
5131202200012200
64351225341244
7505405343065
oct113256507334
928081642481
1010112110300
11431a028156
121b62637824
13c51cb1226
146bcdc756c
153e2b55c6a
hex25aba8edc

10112110300 has 72 divisors (see below), whose sum is σ = 22681829520. Its totient is φ = 3910963200.

The previous prime is 10112110291. The next prime is 10112110321. The reversal of 10112110300 is 301121101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345852 + ... + 373948.

It is an arithmetic number, because the mean of its divisors is an integer number (315025410).

Almost surely, 210112110300 is an apocalyptic number.

10112110300 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 10112110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340914760).

10112110300 is an abundant number, since it is smaller than the sum of its proper divisors (12569719220).

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

10112110300 is a wasteful number, since it uses less digits than its factorization.

10112110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28231 (or 28224 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10112110300 its reverse (301121101), we get a palindrome (10413231401).

The spelling of 10112110300 in words is "ten billion, one hundred twelve million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 61 100 118 122 236 244 295 305 590 610 1180 1220 1475 1525 2950 3050 3599 5900 6100 7198 14396 17995 28097 35990 56194 71980 89975 112388 140485 179950 280970 359900 561940 702425 1404850 1657723 1713917 2809700 3315446 3427834 6630892 6855668 8288615 8569585 16577230 17139170 33154460 34278340 41443075 42847925 82886150 85695850 101121103 165772300 171391700 202242206 404484412 505605515 1011211030 2022422060 2528027575 5056055150 10112110300