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10112011120200 = 233521123229461631
BaseRepresentation
bin1001001100100110001011…
…0101001010111001001000
31022210200212102220201110210
42103021202311022321020
52311133344321321300
633301221020041120
72062366030223043
oct223114265127110
938720772821423
1010112011120200
113249530726540
1211739380931a0
135847351c4182
1426d5d1463c5a
15128083898050
hex93262d4ae48

10112011120200 has 768 divisors, whose sum is σ = 35974297497600. Its totient is φ = 2325818880000.

The previous prime is 10112011120151. The next prime is 10112011120273. The reversal of 10112011120200 is 202111021101.

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

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 191 ways as a sum of consecutive naturals, for example, 16025373885 + ... + 16025374515.

It is an arithmetic number, because the mean of its divisors is an integer number (46841533200).

Almost surely, 210112011120200 is an apocalyptic number.

10112011120200 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 10112011120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987148748800).

10112011120200 is an abundant number, since it is smaller than the sum of its proper divisors (25862286377400).

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

10112011120200 is a wasteful number, since it uses less digits than its factorization.

10112011120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1365 counting only the distinct ones).

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

Adding to 10112011120200 its reverse (202111021101), we get a palindrome (10314122141301).

Subtracting from 10112011120200 its reverse (202111021101), we obtain a palindrome (9909900099099).

The spelling of 10112011120200 in words is "ten trillion, one hundred twelve billion, eleven million, one hundred twenty thousand, two hundred".