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200211010111200 = 25352113193298717
BaseRepresentation
bin101101100001011101000010…
…001000110100011011100000
3222020212222121112101100021010
4231201131002020310123200
5202220224122042024300
61545451400204300520
760112524320546214
oct5541350210643340
9866788545340233
10200211010111200
1158880015799000
121a55629a241740
138793a81635a4a
14376239c088944
151822e33deda50
hexb617422346e0

200211010111200 has 576 divisors, whose sum is σ = 754533449268480. Its totient is φ = 45981462067200.

The previous prime is 200211010111199. The next prime is 200211010111337. The reversal of 200211010111200 is 2111010112002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59044242 + ... + 62342958.

It is an arithmetic number, because the mean of its divisors is an integer number (1309953904980).

Almost surely, 2200211010111200 is an apocalyptic number.

200211010111200 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 200211010111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377266724634240).

200211010111200 is an abundant number, since it is smaller than the sum of its proper divisors (554322439157280).

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

200211010111200 is a wasteful number, since it uses less digits than its factorization.

200211010111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298792 (or 3298757 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200211010111200 its reverse (2111010112002), we get a palindrome (202322020223202).

The spelling of 200211010111200 in words is "two hundred trillion, two hundred eleven billion, ten million, one hundred eleven thousand, two hundred".