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112010001210 = 232537109421733
BaseRepresentation
bin110100001010001010…
…0001111101100111010
3101201010011120121200100
41220110110033230322
53313344030014320
6123242351020230
711043466205202
oct1502424175472
9351104517610
10112010001210
11435597a8838
121985bb0a676
13a740a66533
1455c8123402
152da87d3790
hex1a1450fb3a

112010001210 has 192 divisors, whose sum is σ = 302970713760. Its totient is φ = 28687841280.

The previous prime is 112010001179. The next prime is 112010001241. The reversal of 112010001210 is 12100010211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112010001179) and next prime (112010001241).

It can be written as a sum of positive squares in 16 ways, for example, as 36872064441 + 75137936769 = 192021^2 + 274113^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 112010001192 and 112010001201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152810004 + ... + 152810736.

Almost surely, 2112010001210 is an apocalyptic number.

112010001210 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 112010001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151485356880).

112010001210 is an abundant number, since it is smaller than the sum of its proper divisors (190960712550).

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

112010001210 is a wasteful number, since it uses less digits than its factorization.

112010001210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1310 counting only the distinct ones).

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

Adding to 112010001210 its reverse (12100010211), we get a palindrome (124110011421).

Subtracting from 112010001210 its reverse (12100010211), we obtain a palindrome (99909990999).

It can be divided in two parts, 112010001 and 210, that added together give a palindrome (112010211).

The spelling of 112010001210 in words is "one hundred twelve billion, ten million, one thousand, two hundred ten".