Search a number
-
+
1122031113000 = 2335371312111933
BaseRepresentation
bin10000010100111110010…
…001000001001100101000
310222021011021111021012220
4100110332101001030220
5121340404431104000
62215242020434040
7144030656045460
oct20247621011450
93867137437186
101122031113000
113a293a3482a6
12161559b48920
1381a65201a05
143c441426ba0
151e2bebc81a0
hex1053e441328

1122031113000 has 512 divisors, whose sum is σ = 4052584673280. Its totient is φ = 253169280000.

The previous prime is 1122031112947. The next prime is 1122031113011. The reversal of 1122031113000 is 3111302211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 580460034 + ... + 580461966.

It is an arithmetic number, because the mean of its divisors is an integer number (7915204440).

Almost surely, 21122031113000 is an apocalyptic number.

1122031113000 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 1122031113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026292336640).

1122031113000 is an abundant number, since it is smaller than the sum of its proper divisors (2930553560280).

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

1122031113000 is a wasteful number, since it uses less digits than its factorization.

1122031113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1122031113000 its reverse (3111302211), we get a palindrome (1125142415211).

The spelling of 1122031113000 in words is "one trillion, one hundred twenty-two billion, thirty-one million, one hundred thirteen thousand".