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10012202111200 = 255212515252639
BaseRepresentation
bin1001000110110010010111…
…0000000001000011100000
31022110011020120122201121211
42101230211300001003200
52303014442220024300
633143313034355504
72052233462520442
oct221544560010340
938404216581554
1010012202111200
11321017308a843
12115852228bb94
135781ba136273
1426884391c492
151256912d84ba
hex91b25c010e0

10012202111200 has 36 divisors (see below), whose sum is σ = 24442288405920. Its totient is φ = 4004880844160.

The previous prime is 10012202111167. The next prime is 10012202111201. The reversal of 10012202111200 is 211120221001.

It is a super-2 number, since 2×100122021112002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012202111201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6257625520 + ... + 6257627119.

It is an arithmetic number, because the mean of its divisors is an integer number (678952455720).

Almost surely, 210012202111200 is an apocalyptic number.

10012202111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012202111200 is an abundant number, since it is smaller than the sum of its proper divisors (14430086294720).

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

10012202111200 is a wasteful number, since it uses less digits than its factorization.

10012202111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12515252659 (or 12515252646 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10012202111200 its reverse (211120221001), we get a palindrome (10223322332201).

The spelling of 10012202111200 in words is "ten trillion, twelve billion, two hundred two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 12515252639 25030505278 50061010556 62576263195 100122021112 125152526390 200244042224 250305052780 312881315975 400488084448 500610105560 625762631950 1001220211120 1251525263900 2002440422240 2503050527800 5006101055600 10012202111200