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10000112241400 = 2352294352176961
BaseRepresentation
bin1001000110000101010100…
…1000110100101011111000
31022102000001000102201002021
42101201111020310223320
52302320212213211100
633133553234444224
72051325050362561
oct221412510645370
938360030381067
1010000112241400
113206029726706
121156109433674
13577011496b58
14268017dc9168
151251d4c14a1a
hex91855234af8

10000112241400 has 192 divisors, whose sum is σ = 24658901863200. Its totient is φ = 3765006336000.

The previous prime is 10000112241397. The next prime is 10000112241409. The reversal of 10000112241400 is 414221100001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000112241409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 129898920 + ... + 129975880.

Almost surely, 210000112241400 is an apocalyptic number.

10000112241400 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 10000112241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329450931600).

10000112241400 is an abundant number, since it is smaller than the sum of its proper divisors (14658789621800).

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

10000112241400 is a wasteful number, since it uses less digits than its factorization.

10000112241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77570 (or 77561 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10000112241400 its reverse (414221100001), we get a palindrome (10414333341401).

The spelling of 10000112241400 in words is "ten trillion, one hundred twelve million, two hundred forty-one thousand, four hundred".