Search a number
-
+
1120001231100 = 22352235310130323
BaseRepresentation
bin10000010011000101010…
…001101000100011111100
310222001220210220120201210
4100103011101220203330
5121322230303343400
62214304345204420
7143626450246443
oct20230521504374
93861823816653
101120001231100
113a1a98550a54
12161092190710
13818007c436b
143c2cb9cdd5a
151e2018b1950
hex104c54688fc

1120001231100 has 288 divisors, whose sum is σ = 3479456300544. Its totient is φ = 277506944000.

The previous prime is 1120001231033. The next prime is 1120001231119. The reversal of 1120001231100 is 11321000211.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36920539 + ... + 36950861.

It is an arithmetic number, because the mean of its divisors is an integer number (12081445488).

Almost surely, 21120001231100 is an apocalyptic number.

1120001231100 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 1120001231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739728150272).

1120001231100 is an abundant number, since it is smaller than the sum of its proper divisors (2359455069444).

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

1120001231100 is a wasteful number, since it uses less digits than its factorization.

1120001231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30517 (or 30510 counting only the distinct ones).

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

Adding to 1120001231100 its reverse (11321000211), we get a palindrome (1131322231311).

The spelling of 1120001231100 in words is "one trillion, one hundred twenty billion, one million, two hundred thirty-one thousand, one hundred".