Search a number
-
+
112300010121000 = 23353134231680569
BaseRepresentation
bin11001100010001011100010…
…001101100010011100101000
3112201121202221210100212020010
4121202023202031202130220
5104204410410042333000
61034501525030531520
732440256640132462
oct3142134215423450
9481552853325203
10112300010121000
1132867192070339
12107185b2206ba0
134a87acb799090
141da34c7009132
15ceb2aabecd50
hex6622e2362728

112300010121000 has 256 divisors, whose sum is σ = 377417770329600. Its totient is φ = 27636505344000.

The previous prime is 112300010120897. The next prime is 112300010121113. The reversal of 112300010121000 is 121010003211.

It is a super-2 number, since 2×1123000101210002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164668716 + ... + 165349284.

It is an arithmetic number, because the mean of its divisors is an integer number (1474288165350).

Almost surely, 2112300010121000 is an apocalyptic number.

112300010121000 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 112300010121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188708885164800).

112300010121000 is an abundant number, since it is smaller than the sum of its proper divisors (265117760208600).

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

112300010121000 is a wasteful number, since it uses less digits than its factorization.

112300010121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684837 (or 684823 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112300010121000 its reverse (121010003211), we get a palindrome (112421020124211).

The spelling of 112300010121000 in words is "one hundred twelve trillion, three hundred billion, ten million, one hundred twenty-one thousand".