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1111130221320 = 2333571011455197
BaseRepresentation
bin10000001010110100100…
…001011010101100001000
310221020000120112121001000
4100022310201122230020
5121201043314040240
62210240212455000
7143163562022250
oct20126441325410
93836016477030
101111130221320
11399256052009
1215b41731a460
1380a18998052
143bac9794960
151dd82bb4430
hex102b485ab08

1111130221320 has 256 divisors, whose sum is σ = 4274789644800. Its totient is φ = 251457868800.

The previous prime is 1111130221241. The next prime is 1111130221339. The reversal of 1111130221320 is 231220311111.

1111130221320 is a `hidden beast` number, since 1 + 11 + 11 + 302 + 21 + 320 = 666.

It is a super-3 number, since 3×11111302213203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 1111130221293 and 1111130221302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35962 + ... + 1491158.

It is an arithmetic number, because the mean of its divisors is an integer number (16698397050).

Almost surely, 21111130221320 is an apocalyptic number.

1111130221320 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 1111130221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137394822400).

1111130221320 is an abundant number, since it is smaller than the sum of its proper divisors (3163659423480).

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

1111130221320 is a wasteful number, since it uses less digits than its factorization.

1111130221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455325 (or 1455315 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1111130221320 its reverse (231220311111), we get a palindrome (1342350532431).

The spelling of 1111130221320 in words is "one trillion, one hundred eleven billion, one hundred thirty million, two hundred twenty-one thousand, three hundred twenty".