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10110232000 = 265311114889
BaseRepresentation
bin10010110101001110…
…11110010111000000
3222002121012000000001
421122213132113000
5131201204411000
64351121205344
7505353361021
oct113247362700
928077160001
1010110232000
114318a64a40
121b61a90854
13c517a42cb
146bca58c48
153e28d446a
hex25a9de5c0

10110232000 has 112 divisors (see below), whose sum is σ = 27314408160. Its totient is φ = 3676416000.

The previous prime is 10110231979. The next prime is 10110232001. The reversal of 10110232000 is 23201101.

10110232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110232001) 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 15 ways as a sum of consecutive naturals, for example, 30556 + ... + 145444.

Almost surely, 210110232000 is an apocalyptic number.

10110232000 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 10110232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657204080).

10110232000 is an abundant number, since it is smaller than the sum of its proper divisors (17204176160).

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

10110232000 is a wasteful number, since it uses less digits than its factorization.

10110232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114927 (or 114907 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10110232000 its reverse (23201101), we get a palindrome (10133433101).

The spelling of 10110232000 in words is "ten billion, one hundred ten million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 114889 229778 459556 574445 919112 1148890 1263779 1838224 2297780 2527558 2872225 3676448 4595560 5055116 5744450 6318895 7352896 9191120 10110232 11488900 12637790 14361125 18382240 20220464 22977800 25275580 28722250 31594475 36764480 40440928 45955600 50551160 57444500 63188950 80881856 91911200 101102320 114889000 126377900 157972375 183822400 202204640 229778000 252755800 315944750 404409280 459556000 505511600 631889500 919112000 1011023200 1263779000 2022046400 2527558000 5055116000 10110232000