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10120221200 = 245225300553
BaseRepresentation
bin10010110110011011…
…00101001000010000
3222010021222111121102
421123031211020100
5131211234034300
64352115243532
7505534314035
oct113315451020
928107874542
1010120221200
114323667a81
121b652a95a8
13c53890c8b
146c00d938c
153e37090d5
hex25b365210

10120221200 has 30 divisors (see below), whose sum is σ = 24313832394. Its totient is φ = 4048088320.

The previous prime is 10120221197. The next prime is 10120221229. The reversal of 10120221200 is 212202101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 119421184 + 10000800016 = 10928^2 + 100004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12649877 + ... + 12650676.

Almost surely, 210120221200 is an apocalyptic number.

10120221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120221200 is an abundant number, since it is smaller than the sum of its proper divisors (14193611194).

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

10120221200 is a wasteful number, since it uses less digits than its factorization.

10120221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25300571 (or 25300560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10120221200 its reverse (212202101), we get a palindrome (10332423301).

The spelling of 10120221200 in words is "ten billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25300553 50601106 101202212 126502765 202404424 253005530 404808848 506011060 632513825 1012022120 1265027650 2024044240 2530055300 5060110600 10120221200