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1322143020 = 22335111032161
BaseRepresentation
bin100111011001110…
…0100110100101100
310102010211211021000
41032303210310230
510201432034040
6335110040300
744523013242
oct11663446454
93363754230
101322143020
11619351690
1230a949090
13180bbb963
14c7846792
157b116130
hex4ece4d2c

1322143020 has 192 divisors, whose sum is σ = 4532935680. Its totient is φ = 317260800.

The previous prime is 1322143019. The next prime is 1322143049. The reversal of 1322143020 is 203412231.

1322143020 is a `hidden beast` number, since 13 + 221 + 430 + 2 + 0 = 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 = 1322142984 and 1322143002.

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, 610740 + ... + 612900.

It is an arithmetic number, because the mean of its divisors is an integer number (23609040).

Almost surely, 21322143020 is an apocalyptic number.

1322143020 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 1322143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266467840).

1322143020 is an abundant number, since it is smaller than the sum of its proper divisors (3210792660).

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

1322143020 is a wasteful number, since it uses less digits than its factorization.

1322143020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2285 counting only the distinct ones).

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

The square root of 1322143020 is about 36361.2846307718. The cubic root of 1322143020 is about 1097.5546284142.

Adding to 1322143020 its reverse (203412231), we get a palindrome (1525555251).

The spelling of 1322143020 in words is "one billion, three hundred twenty-two million, one hundred forty-three thousand, twenty".