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200120100 = 223524611447
BaseRepresentation
bin10111110110110…
…01011100100100
3111221120011011120
423323121130210
5402212320400
631505133540
74646664345
oct1373313444
9457504146
10200120100
11a2a65214
125702a2b0
13325c9b7b
141c8140cc
151287eca0
hexbed9724

200120100 has 72 divisors (see below), whose sum is σ = 580671168. Its totient is φ = 53212800.

The previous prime is 200120069. The next prime is 200120131. The reversal of 200120100 is 1021002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200120069) and next prime (200120131).

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, 137577 + ... + 139023.

Almost surely, 2200120100 is an apocalyptic number.

200120100 is a gapful number since it is divisible by the number (20) 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 200120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290335584).

200120100 is an abundant number, since it is smaller than the sum of its proper divisors (380551068).

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

200120100 is a wasteful number, since it uses less digits than its factorization.

200120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1918 counting only the distinct ones).

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

The square root of 200120100 is about 14146.3811626861. The cubic root of 200120100 is about 584.9205823960.

Adding to 200120100 its reverse (1021002), we get a palindrome (201141102).

The spelling of 200120100 in words is "two hundred million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 461 922 1383 1447 1844 2305 2766 2894 4341 4610 5532 5788 6915 7235 8682 9220 11525 13830 14470 17364 21705 23050 27660 28940 34575 36175 43410 46100 69150 72350 86820 108525 138300 144700 217050 434100 667067 1334134 2001201 2668268 3335335 4002402 6670670 8004804 10006005 13341340 16676675 20012010 33353350 40024020 50030025 66706700 100060050 200120100