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12200113100 = 225272231031051
BaseRepresentation
bin10110101110010111…
…01111001111001100
31011111020122221220202
423113023233033030
5144441212104400
65334334433032
7611221151600
oct132713571714
934436587822
1012200113100
1151a07115aa
122445962778
1311c575b446
1483a42d500
154b60ed4d5
hex2d72ef3cc

12200113100 has 216 divisors, whose sum is σ = 32478421248. Its totient is φ = 3958416000.

The previous prime is 12200113097. The next prime is 12200113103. The reversal of 12200113100 is 131100221.

It is an interprime number because it is at equal distance from previous prime (12200113097) and next prime (12200113103).

It is a super-2 number, since 2×122001131002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12200113103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11607575 + ... + 11608625.

Almost surely, 212200113100 is an apocalyptic number.

12200113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16239210624).

12200113100 is an abundant number, since it is smaller than the sum of its proper divisors (20278308148).

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

12200113100 is a wasteful number, since it uses less digits than its factorization.

12200113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12200113100 its reverse (131100221), we get a palindrome (12331213321).

The spelling of 12200113100 in words is "twelve billion, two hundred million, one hundred thirteen thousand, one hundred".