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10122110200 = 235250610551
BaseRepresentation
bin10010110110101001…
…10010010011111000
3222010102112110211101
421123110302103320
5131212230011300
64352223541144
7505556342236
oct113324622370
928112473741
1010122110200
114324738234
121b65a5a7b4
13c540a2a27
146c046b956
153e397db6a
hex25b5324f8

10122110200 has 24 divisors (see below), whose sum is σ = 23533906680. Its totient is φ = 4048844000.

The previous prime is 10122110197. The next prime is 10122110203. The reversal of 10122110200 is 201122101.

10122110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10122110197) and next prime (10122110203).

It is a super-2 number, since 2×101221102002 (a number of 21 digits) contains 22 as substring.

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 (10122110203) 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 5 ways as a sum of consecutive naturals, for example, 25305076 + ... + 25305475.

It is an arithmetic number, because the mean of its divisors is an integer number (980579445).

Almost surely, 210122110200 is an apocalyptic number.

10122110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122110200 is an abundant number, since it is smaller than the sum of its proper divisors (13411796480).

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

10122110200 is a wasteful number, since it uses less digits than its factorization.

10122110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50610567 (or 50610558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122110200 its reverse (201122101), we get a palindrome (10323232301).

The spelling of 10122110200 in words is "ten billion, one hundred twenty-two million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50610551 101221102 202442204 253052755 404884408 506105510 1012211020 1265263775 2024422040 2530527550 5061055100 10122110200