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10122010000 = 24541012201
BaseRepresentation
bin10010110110101000…
…11001110110010000
3222010102100101101021
421123110121312100
5131212213310000
64352221445224
7505555444144
oct113324316620
928112311337
1010122010000
114324679a23
121b65a10814
13c5406923b
146c0443224
153e395e11a
hex25b519d90

10122010000 has 50 divisors (see below), whose sum is σ = 24506422622. Its totient is φ = 4048800000.

The previous prime is 10122009971. The next prime is 10122010007. The reversal of 10122010000 is 1022101.

It can be written as a sum of positive squares in 5 ways, for example, as 3110962176 + 7011047824 = 55776^2 + 83732^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (10122010007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 496101 + ... + 516100.

Almost surely, 210122010000 is an apocalyptic number.

10122010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122010000 is an abundant number, since it is smaller than the sum of its proper divisors (14384412622).

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

10122010000 is an equidigital number, since it uses as much as digits as its factorization.

10122010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012229 (or 1012208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10122010000 its reverse (1022101), we get a palindrome (10123032101).

The spelling of 10122010000 in words is "ten billion, one hundred twenty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1012201 2024402 4048804 5061005 8097608 10122010 16195216 20244020 25305025 40488040 50610050 80976080 101220100 126525125 202440200 253050250 404880400 506100500 632625625 1012201000 1265251250 2024402000 2530502500 5061005000 10122010000