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10100110000 = 24543121051
BaseRepresentation
bin10010110100000001…
…10111001010110000
3222001220010202020011
421122000313022300
5131141112010000
64350120224304
7505201342561
oct113200671260
928056122204
1010100110000
114313281152
121b5a60b094
13c4c66c066
146bb582168
153e1a852ba
hex25a0372b0

10100110000 has 150 divisors (see below), whose sum is σ = 25291682196. Its totient is φ = 3906000000.

The previous prime is 10100109961. The next prime is 10100110001. The reversal of 10100110000 is 1100101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (10100110001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9609475 + ... + 9610525.

Almost surely, 210100110000 is an apocalyptic number.

10100110000 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 10100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645841098).

10100110000 is an abundant number, since it is smaller than the sum of its proper divisors (15191572196).

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

10100110000 is an equidigital number, since it uses as much as digits as its factorization.

10100110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10100110000 its reverse (1100101), we get a palindrome (10101210101).

The spelling of 10100110000 in words is "ten billion, one hundred million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 961 1000 1051 1240 1250 1550 1922 2000 2102 2480 2500 3100 3844 3875 4204 4805 5000 5255 6200 7688 7750 8408 9610 10000 10510 12400 15376 15500 16816 19220 19375 21020 24025 26275 31000 32581 38440 38750 42040 48050 52550 62000 65162 76880 77500 84080 96100 105100 120125 130324 131375 155000 162905 192200 210200 240250 260648 262750 310000 325810 384400 420400 480500 521296 525500 600625 651620 656875 814525 961000 1010011 1051000 1201250 1303240 1313750 1629050 1922000 2020022 2102000 2402500 2606480 2627500 3258100 4040044 4072625 4805000 5050055 5255000 6516200 8080088 8145250 9610000 10100110 10510000 13032400 16160176 16290500 20200220 20363125 25250275 32581000 40400440 40726250 50500550 65162000 80800880 81452500 101001100 126251375 162905000 202002200 252502750 325810000 404004400 505005500 631256875 1010011000 1262513750 2020022000 2525027500 5050055000 10100110000