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1122001310034 = 23211291977091399
BaseRepresentation
bin10000010100111100011…
…111010101000101010010
310222021002012102010020100
4100110330133111011102
5121340324313410114
62215235033553230
7144030144530403
oct20247437250522
93867065363210
101122001310034
113a2924541950
1216154bb75816
1381a5bc98617
143c43b4a99aa
151e2bc28c909
hex1053c7d5152

1122001310034 has 192 divisors, whose sum is σ = 2763240480000. Its totient is φ = 325916075520.

The previous prime is 1122001310033. The next prime is 1122001310113. The reversal of 1122001310034 is 4300131002211.

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 = 1122001309989 and 1122001310016.

It is not an unprimeable number, because it can be changed into a prime (1122001310033) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 802001667 + ... + 802003065.

It is an arithmetic number, because the mean of its divisors is an integer number (14391877500).

Almost surely, 21122001310034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122001310034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381620240000).

1122001310034 is an abundant number, since it is smaller than the sum of its proper divisors (1641239169966).

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

1122001310034 is a wasteful number, since it uses less digits than its factorization.

1122001310034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1122001310034 its reverse (4300131002211), we get a palindrome (5422132312245).

The spelling of 1122001310034 in words is "one trillion, one hundred twenty-two billion, one million, three hundred ten thousand, thirty-four".