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112021100100000 = 2532557213375281
BaseRepresentation
bin11001011110000111110001…
…111000001111100110100000
3112200122010001001221202211100
4121132013301320033212200
5104140323203111200000
61034125441041114400
732411154201102300
oct3136076170174640
9480563031852740
10112021100100000
1132769977693453
1210692533928a00
134a677100c77b0
141d93bc8c3d600
15ce3dd4d11a00
hex65e1f1e0f9a0

112021100100000 has 2592 divisors, whose sum is σ = 512390448631152. Its totient is φ = 22992076800000.

The previous prime is 112021100099873. The next prime is 112021100100001. The reversal of 112021100100000 is 1001120211.

It is a happy number.

112021100100000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 104830486232976 + 7190613867024 = 10238676^2 + 2681532^2 .

It is a super-2 number, since 2×1120211001000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (112021100100001) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 21212097360 + ... + 21212102640.

Almost surely, 2112021100100000 is an apocalyptic number.

112021100100000 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 112021100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256195224315576).

112021100100000 is an abundant number, since it is smaller than the sum of its proper divisors (400369348531152).

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

112021100100000 is a wasteful number, since it uses less digits than its factorization.

112021100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112021100100000 its reverse (1001120211), we get a palindrome (112022101220211).

The spelling of 112021100100000 in words is "one hundred twelve trillion, twenty-one billion, one hundred million, one hundred thousand".