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12200100 = 22352113697
BaseRepresentation
bin101110100010…
…100010100100
3211221211101120
4232202202210
511110400400
61113253540
7205461543
oct56424244
924854346
1012200100
116983130
1241042b0
1326b20c3
14189815a
15110eca0
hexba28a4

12200100 has 72 divisors (see below), whose sum is σ = 38518368. Its totient is φ = 2956800.

The previous prime is 12200063. The next prime is 12200117. The reversal of 12200100 is 100221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452 + ... + 5148.

Almost surely, 212200100 is an apocalyptic number.

12200100 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 12200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19259184).

12200100 is an abundant number, since it is smaller than the sum of its proper divisors (26318268).

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

12200100 is a wasteful number, since it uses less digits than its factorization.

12200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12200100 is about 3492.8641542436. The cubic root of 12200100 is about 230.2083807775.

The spelling of 12200100 in words is "twelve million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3697 7394 11091 14788 18485 22182 36970 40667 44364 55455 73940 81334 92425 110910 122001 162668 184850 203335 221820 244002 277275 369700 406670 488004 554550 610005 813340 1016675 1109100 1220010 2033350 2440020 3050025 4066700 6100050 12200100