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10012010000 = 24542334297
BaseRepresentation
bin10010101001100001…
…10010011000010000
3221211202100210202012
421110300302120100
5131001033310000
64333252042052
7503051452346
oct112460623020
927752323665
1010012010000
114278578333
121b35003328
13c37333b95
146ad9ab996
153d8e81735
hex254c32610

10012010000 has 100 divisors (see below), whose sum is σ = 24349777452. Its totient is φ = 3986688000.

The previous prime is 10012009999. The next prime is 10012010023. The reversal of 10012010000 is 1021001.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 8766202384 + 1245807616 = 93628^2 + 35296^2 .

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2327852 + ... + 2332148.

Almost surely, 210012010000 is an apocalyptic number.

10012010000 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 10012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12174888726).

10012010000 is an abundant number, since it is smaller than the sum of its proper divisors (14337767452).

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

10012010000 is an equidigital number, since it uses as much as digits as its factorization.

10012010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4537 counting only the distinct ones).

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

Adding to 10012010000 its reverse (1021001), we get a palindrome (10013031001).

The spelling of 10012010000 in words is "ten billion, twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 233 250 400 466 500 625 932 1000 1165 1250 1864 2000 2330 2500 3728 4297 4660 5000 5825 8594 9320 10000 11650 17188 18640 21485 23300 29125 34376 42970 46600 58250 68752 85940 93200 107425 116500 145625 171880 214850 233000 291250 343760 429700 466000 537125 582500 859400 1001201 1074250 1165000 1718800 2002402 2148500 2330000 2685625 4004804 4297000 5006005 5371250 8009608 8594000 10012010 10742500 16019216 20024020 21485000 25030025 40048040 42970000 50060050 80096080 100120100 125150125 200240200 250300250 400480400 500600500 625750625 1001201000 1251501250 2002402000 2503002500 5006005000 10012010000