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1322331030020 = 22571121397103601
BaseRepresentation
bin10011001111100001000…
…100100100001000000100
311200102011112010022112002
4103033201010210020010
5133131113220430040
62451245343044432
7164351411205230
oct23174104441004
94612145108462
101322331030020
1146a885436600
12194339ba0718
13979066bcc80
14480032995c0
15245e4641a15
hex133e1124204

1322331030020 has 576 divisors, whose sum is σ = 3838617689088. Its totient is φ = 372252672000.

The previous prime is 1322331029959. The next prime is 1322331030037. The reversal of 1322331030020 is 200301332231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1322331029974 and 1322331030001.

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, 2200217720 + ... + 2200218320.

Almost surely, 21322331030020 is an apocalyptic number.

1322331030020 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 1322331030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919308844544).

1322331030020 is an abundant number, since it is smaller than the sum of its proper divisors (2516286659068).

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

1322331030020 is a wasteful number, since it uses less digits than its factorization.

1322331030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1322331030020 its reverse (200301332231), we get a palindrome (1522632362251).

The spelling of 1322331030020 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-one million, thirty thousand, twenty".