Search a number
-
+
1120111002300 = 22352711034391163
BaseRepresentation
bin10000010011001011110…
…100011000001010111100
310222002012110110112111210
4100103023310120022330
5121322441404033200
62214323310044420
7143632252266213
oct20231364301274
93862173415453
101120111002300
113a2044506754
12161102aa9710
138181a479534
143c2dc40607a
151e20b346650
hex104cbd182bc

1120111002300 has 288 divisors, whose sum is σ = 3328826941440. Its totient is φ = 290715667200.

The previous prime is 1120111002281. The next prime is 1120111002317. The reversal of 1120111002300 is 32001110211.

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

It is a congruent number.

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, 963121519 + ... + 963122681.

It is an arithmetic number, because the mean of its divisors is an integer number (11558426880).

Almost surely, 21120111002300 is an apocalyptic number.

1120111002300 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 1120111002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664413470720).

1120111002300 is an abundant number, since it is smaller than the sum of its proper divisors (2208715939140).

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

1120111002300 is a wasteful number, since it uses less digits than its factorization.

1120111002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1786 counting only the distinct ones).

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

Adding to 1120111002300 its reverse (32001110211), we get a palindrome (1152112112511).

The spelling of 1120111002300 in words is "one trillion, one hundred twenty billion, one hundred eleven million, two thousand, three hundred".