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200113100 = 2252111091669
BaseRepresentation
bin10111110110101…
…11101111001100
3111221112210120022
423323113233030
5402212104400
631505041312
74646635055
oct1373275714
9457483508
10200113100
11a2a5aa30
1257026238
13325c6925
141c81172c
151287cb85
hexbed7bcc

200113100 has 72 divisors (see below), whose sum is σ = 478354800. Its totient is φ = 72057600.

The previous prime is 200113097. The next prime is 200113117. The reversal of 200113100 is 1311002.

It is a super-2 number, since 2×2001131002 = 80090505583220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119066 + ... + 120734.

Almost surely, 2200113100 is an apocalyptic number.

200113100 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 200113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239177400).

200113100 is an abundant number, since it is smaller than the sum of its proper divisors (278241700).

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

200113100 is a wasteful number, since it uses less digits than its factorization.

200113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 200113100 is about 14146.1337474237. The cubic root of 200113100 is about 584.9137623384.

Adding to 200113100 its reverse (1311002), we get a palindrome (201424102).

The spelling of 200113100 in words is "two hundred million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 109 110 218 220 275 436 545 550 1090 1100 1199 1669 2180 2398 2725 3338 4796 5450 5995 6676 8345 10900 11990 16690 18359 23980 29975 33380 36718 41725 59950 73436 83450 91795 119900 166900 181921 183590 363842 367180 458975 727684 909605 917950 1819210 1835900 2001131 3638420 4002262 4548025 8004524 9096050 10005655 18192100 20011310 40022620 50028275 100056550 200113100