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10020110000 = 24547331367
BaseRepresentation
bin10010101010011111…
…01011111010110000
3221212022121022212012
421111033223322300
5131010122010000
64334141422052
7503210346455
oct112517537260
927768538765
1010020110000
1142820aaa4a
121b3786a928
13c38c0b994
146b0ab982c
153d9a31735
hex2553ebeb0

10020110000 has 100 divisors (see below), whose sum is σ = 24310555632. Its totient is φ = 3999648000.

The previous prime is 10020109999. The next prime is 10020110069. The reversal of 10020110000 is 1102001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

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 19 ways as a sum of consecutive naturals, for example, 7329317 + ... + 7330683.

Almost surely, 210020110000 is an apocalyptic number.

10020110000 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 10020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12155277816).

10020110000 is an abundant number, since it is smaller than the sum of its proper divisors (14290445632).

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

10020110000 is an equidigital number, since it uses as much as digits as its factorization.

10020110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10020110000 its reverse (1102001), we get a palindrome (10021212001).

The spelling of 10020110000 in words is "ten billion, twenty million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 733 1000 1250 1367 1466 2000 2500 2734 2932 3665 5000 5468 5864 6835 7330 10000 10936 11728 13670 14660 18325 21872 27340 29320 34175 36650 54680 58640 68350 73300 91625 109360 136700 146600 170875 183250 273400 293200 341750 366500 458125 546800 683500 733000 854375 916250 1002011 1367000 1466000 1708750 1832500 2004022 2734000 3417500 3665000 4008044 5010055 6835000 7330000 8016088 10020110 13670000 16032176 20040220 25050275 40080440 50100550 80160880 100201100 125251375 200402200 250502750 400804400 501005500 626256875 1002011000 1252513750 2004022000 2505027500 5010055000 10020110000