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1322103020 = 2257235361127
BaseRepresentation
bin100111011001101…
…1011000011101100
310102010202210101112
41032303123003230
510201424244040
6335105131152
744522455520
oct11663330354
93363683345
101322103020
11619324627
1230a929ab8
13180ba66a4
14c7835d80
157b109365
hex4ecdb0ec

1322103020 has 192 divisors, whose sum is σ = 3455778816. Its totient is φ = 415134720.

The previous prime is 1322102993. The next prime is 1322103047. The reversal of 1322103020 is 203012231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1322102993) and next prime (1322103047).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1322102986 and 1322103004.

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 63 ways as a sum of consecutive naturals, for example, 10410197 + ... + 10410323.

It is an arithmetic number, because the mean of its divisors is an integer number (17998848).

Almost surely, 21322103020 is an apocalyptic number.

1322103020 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 1322103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727889408).

1322103020 is an abundant number, since it is smaller than the sum of its proper divisors (2133675796).

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

1322103020 is a wasteful number, since it uses less digits than its factorization.

1322103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1322103020 is about 36360.7345910393. The cubic root of 1322103020 is about 1097.5435598618.

Adding to 1322103020 its reverse (203012231), we get a palindrome (1525115251).

The spelling of 1322103020 in words is "one billion, three hundred twenty-two million, one hundred three thousand, twenty".