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1122233003320 = 2351121373263929
BaseRepresentation
bin10000010101001010010…
…011001010110100111000
310222021200100101100200011
4100111022103022310320
5121341313122101240
62215314031551304
7144035660065132
oct20251223126470
93867610340604
101122233003320
113a2a33301500
121615b568b534
1381a97c9b540
143c46017c052
151e2d27a76ea
hex1054a4cad38

1122233003320 has 384 divisors, whose sum is σ = 3044673878400. Its totient is φ = 369722327040.

The previous prime is 1122233003293. The next prime is 1122233003363. The reversal of 1122233003320 is 233003322211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1122233003291 and 1122233003300.

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, 1208000616 + ... + 1208001544.

It is an arithmetic number, because the mean of its divisors is an integer number (7928838225).

Almost surely, 21122233003320 is an apocalyptic number.

1122233003320 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 1122233003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522336939200).

1122233003320 is an abundant number, since it is smaller than the sum of its proper divisors (1922440875080).

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

1122233003320 is a wasteful number, since it uses less digits than its factorization.

1122233003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1122233003320 its reverse (233003322211), we get a palindrome (1355236325531).

The spelling of 1122233003320 in words is "one trillion, one hundred twenty-two billion, two hundred thirty-three million, three thousand, three hundred twenty".