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112010211000 = 2332533729091
BaseRepresentation
bin110100001010001010…
…1000010111010111000
3101201010011222021110100
41220110111002322320
53313344103223000
6123242355315400
711043501040632
oct1502425027270
9351104867410
10112010211000
1143559931416
121985bbabb60
13a740b0ab7c
1455c8179a52
152da8825a00
hex1a14542eb8

112010211000 has 288 divisors, whose sum is σ = 389146146480. Its totient is φ = 29058912000.

The previous prime is 112010210981. The next prime is 112010211007. The reversal of 112010211000 is 112010211.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112010211007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12316455 + ... + 12325545.

Almost surely, 2112010211000 is an apocalyptic number.

112010211000 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 112010211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194573073240).

112010211000 is an abundant number, since it is smaller than the sum of its proper divisors (277135935480).

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

112010211000 is a wasteful number, since it uses less digits than its factorization.

112010211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9192 (or 9138 counting only the distinct ones).

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

Adding to 112010211000 its reverse (112010211), we get a palindrome (112122221211).

112010211000 divided by its reverse (112010211) gives a cube (1000 = 103).

The spelling of 112010211000 in words is "one hundred twelve billion, ten million, two hundred eleven thousand".