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1121103130320 = 2433517113271997
BaseRepresentation
bin10000010100000110111…
…101000010111011010000
310222011202121022212022000
4100110012331002323100
5121332004400132240
62215005550514000
7143665660242555
oct20240675027320
93864677285260
101121103130320
113a2503543168
1216133b205900
1381947b8b634
143c3940a4a2c
151e2684c0430
hex10506f42ed0

1121103130320 has 640 divisors, whose sum is σ = 4144286177280. Its totient is φ = 277577072640.

The previous prime is 1121103130249. The next prime is 1121103130339. The reversal of 1121103130320 is 230313011211.

1121103130320 is a `hidden beast` number, since 1 + 1 + 21 + 10 + 313 + 0 + 320 = 666.

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 = 1121103130293 and 1121103130302.

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 127 ways as a sum of consecutive naturals, for example, 1124476062 + ... + 1124477058.

It is an arithmetic number, because the mean of its divisors is an integer number (6475447152).

Almost surely, 21121103130320 is an apocalyptic number.

1121103130320 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 1121103130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072143088640).

1121103130320 is an abundant number, since it is smaller than the sum of its proper divisors (3023183046960).

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

1121103130320 is a wasteful number, since it uses less digits than its factorization.

1121103130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1408 counting only the distinct ones).

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

Adding to 1121103130320 its reverse (230313011211), we get a palindrome (1351416141531).

The spelling of 1121103130320 in words is "one trillion, one hundred twenty-one billion, one hundred three million, one hundred thirty thousand, three hundred twenty".