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112132211001210 = 232537477138326347
BaseRepresentation
bin11001011111101111010000…
…100110101100011101111010
3112201000201211120201101011200
4121133233100212230131322
5104144133232004014320
61034252454313235030
732422166502140631
oct3137572046543572
9481021746641150
10112132211001210
1132802004914034
12106abb82702a76
134a750397c119a
141d9932979c518
15ce6c396e5290
hex65fbd09ac77a

112132211001210 has 384 divisors, whose sum is σ = 310922439819264. Its totient is φ = 27999331637760.

The previous prime is 112132211001157. The next prime is 112132211001289. The reversal of 112132211001210 is 12100112231211.

It is a happy number.

112132211001210 is a `hidden beast` number, since 1 + 1 + 21 + 322 + 110 + 0 + 1 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4255963257 + ... + 4255989603.

It is an arithmetic number, because the mean of its divisors is an integer number (809693853696).

Almost surely, 2112132211001210 is an apocalyptic number.

112132211001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112132211001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155461219909632).

112132211001210 is an abundant number, since it is smaller than the sum of its proper divisors (198790228818054).

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

112132211001210 is a wasteful number, since it uses less digits than its factorization.

112132211001210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26898 (or 26895 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112132211001210 its reverse (12100112231211), we get a palindrome (124232323232421).

The spelling of 112132211001210 in words is "one hundred twelve trillion, one hundred thirty-two billion, two hundred eleven million, one thousand, two hundred ten".