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100001112212200 = 23524011246896661
BaseRepresentation
bin10110101111001101010010…
…110001010100001011101000
3111010002000100110010202121011
4112233031102301110023220
5101101404234211242300
6552403513213153304
730030561532610353
oct2657152261241350
9433060313122534
10100001112212200
1129955262902711
12b270a7618b834
1343a50ab6b1384
141a9a11880d29a
15b863d2268eba
hex5af352c542e8

100001112212200 has 48 divisors (see below), whose sum is σ = 233082393027660. Its totient is φ = 39900693120000.

The previous prime is 100001112212153. The next prime is 100001112212233. The reversal of 100001112212200 is 2212211100001.

It can be written as a sum of positive squares in 6 ways, for example, as 68646958339716 + 31354153872484 = 8285346^2 + 5599478^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 623368131 + ... + 623528530.

Almost surely, 2100001112212200 is an apocalyptic number.

100001112212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001112212200 is an abundant number, since it is smaller than the sum of its proper divisors (133081280815460).

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

100001112212200 is a wasteful number, since it uses less digits than its factorization.

100001112212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246897078 (or 1246897069 counting only the distinct ones).

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

Adding to 100001112212200 its reverse (2212211100001), we get a palindrome (102213323312201).

The spelling of 100001112212200 in words is "one hundred trillion, one billion, one hundred twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 401 802 1604 2005 3208 4010 8020 10025 16040 20050 40100 80200 1246896661 2493793322 4987586644 6234483305 9975173288 12468966610 24937933220 31172416525 49875866440 62344833050 124689666100 249379332200 500005561061 1000011122122 2000022244244 2500027805305 4000044488488 5000055610610 10000111221220 12500139026525 20000222442440 25000278053050 50000556106100 100001112212200