Search a number
-
+
1012243432200 = 233527112133741101
BaseRepresentation
bin11101011101011100110…
…10010000001100001000
310120202202222121020000220
432232232122100030020
5113041033304312300
62053003533430040
7133063223131440
oct16565632201410
93522688536026
101012243432200
11360321034800
1214421a33b320
13745b99b3490
1436dc8511120
151b4e656eda0
hexebae690308

1012243432200 has 2304 divisors, whose sum is σ = 4510406315520. Its totient is φ = 182476800000.

The previous prime is 1012243432181. The next prime is 1012243432267. The reversal of 1012243432200 is 22343422101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10022212150 + ... + 10022212250.

It is an arithmetic number, because the mean of its divisors is an integer number (1957641630).

Almost surely, 21012243432200 is an apocalyptic number.

1012243432200 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 1012243432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255203157760).

1012243432200 is an abundant number, since it is smaller than the sum of its proper divisors (3498162883320).

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

1012243432200 is a wasteful number, since it uses less digits than its factorization.

1012243432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1012243432200 its reverse (22343422101), we get a palindrome (1034586854301).

The spelling of 1012243432200 in words is "one trillion, twelve billion, two hundred forty-three million, four hundred thirty-two thousand, two hundred".