Search a number
-
+
1000011222112 = 257217612932099
BaseRepresentation
bin11101000110101010101…
…00000100110001100000
310112121012111112120022211
432203111110010301200
5112341010333101422
62043222051011504
7132151132065400
oct16432524046140
93477174476284
101000011222112
113561142a0271
12141985899b94
13733ba6c7746
1436587b28800
151b02c731577
hexe8d5504c60

1000011222112 has 288 divisors, whose sum is σ = 2474265074400. Its totient is φ = 395210833920.

The previous prime is 1000011222103. The next prime is 1000011222113. The reversal of 1000011222112 is 2112221100001.

It is a junction number, because it is equal to n+sod(n) for n = 1000011222092 and 1000011222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000011222113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476421639 + ... + 476423737.

It is an arithmetic number, because the mean of its divisors is an integer number (8591198175).

Almost surely, 21000011222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000011222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237132537200).

1000011222112 is an abundant number, since it is smaller than the sum of its proper divisors (1474253852288).

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

1000011222112 is a wasteful number, since it uses less digits than its factorization.

1000011222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1000011222112 its reverse (2112221100001), we get a palindrome (3112232322113).

The spelling of 1000011222112 in words is "one trillion, eleven million, two hundred twenty-two thousand, one hundred twelve".