Search a number
-
+
1112133301020 = 223357343472971
BaseRepresentation
bin10000001011110000010…
…011110111001100011100
310221022121111000022201000
4100023300103313030130
5121210122111113040
62210523524150300
7143230462041000
oct20136023671434
93838544008630
101112133301020
113997202896a5
1215b657238390
1380b48742c31
143bb82aa4700
151dde0ca3130
hex102f04f731c

1112133301020 has 768 divisors, whose sum is σ = 4218052608000. Its totient is φ = 242925661440.

The previous prime is 1112133301001. The next prime is 1112133301039. The reversal of 1112133301020 is 201033312111.

1112133301020 is a `hidden beast` number, since 111 + 213 + 330 + 10 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1112133301001) and next prime (1112133301039).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1112133300984 and 1112133301002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 374328135 + ... + 374331105.

It is an arithmetic number, because the mean of its divisors is an integer number (5492256000).

Almost surely, 21112133301020 is an apocalyptic number.

1112133301020 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 1112133301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109026304000).

1112133301020 is an abundant number, since it is smaller than the sum of its proper divisors (3105919306980).

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

1112133301020 is a wasteful number, since it uses less digits than its factorization.

1112133301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1112133301020 its reverse (201033312111), we get a palindrome (1313166613131).

The spelling of 1112133301020 in words is "one trillion, one hundred twelve billion, one hundred thirty-three million, three hundred one thousand, twenty".