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1322103022020 = 223251119293533433
BaseRepresentation
bin10011001111010011011…
…110110010000111000100
311200101120122002022100100
4103033103132302013010
5133130131333201040
62451211000044100
7164342642156664
oct23172336620704
94611518068310
101322103022020
1146a778763840
12194295763630
139789b3aa5b1
1447dc0ca61a4
15245ce603b30
hex133d37b21c4

1322103022020 has 576 divisors, whose sum is σ = 4778908243200. Its totient is φ = 292254842880.

The previous prime is 1322103021979. The next prime is 1322103022061. The reversal of 1322103022020 is 202203012231.

1322103022020 is a `hidden beast` number, since 1 + 322 + 1 + 0 + 302 + 20 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1322103021979) and next prime (1322103022061).

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 = 1322103021984 and 1322103022002.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385114224 + ... + 385117656.

It is an arithmetic number, because the mean of its divisors is an integer number (8296715700).

Almost surely, 21322103022020 is an apocalyptic number.

1322103022020 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 1322103022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389454121600).

1322103022020 is an abundant number, since it is smaller than the sum of its proper divisors (3456805221180).

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

1322103022020 is a wasteful number, since it uses less digits than its factorization.

1322103022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1322103022020 its reverse (202203012231), we get a palindrome (1524306034251).

The spelling of 1322103022020 in words is "one trillion, three hundred twenty-two billion, one hundred three million, twenty-two thousand, twenty".