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1322011010021 = 131011006862917
BaseRepresentation
bin10011001111001101111…
…111110010001111100101
311200101100012221121121112
4103033031333302033211
5133124434304310041
62451153511554405
7164340444114302
oct23171577621745
94611305847545
101322011010021
1146a730828869
1219426a98ba05
1397885302920
1447db29940a9
15245c64cadeb
hex133cdff23e5

1322011010021 has 8 divisors (see below), whose sum is σ = 1437800246904. Its totient is φ = 1208235499200.

The previous prime is 1322011010011. The next prime is 1322011010029. The reversal of 1322011010021 is 1200101102231.

It can be written as a sum of positive squares in 4 ways, for example, as 170392281796 + 1151618728225 = 412786^2 + 1073135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1322011010021 is a prime.

It is a super-2 number, since 2×13220110100212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1322011009978 and 1322011010005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322011010029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503430146 + ... + 503432771.

It is an arithmetic number, because the mean of its divisors is an integer number (179725030863).

Almost surely, 21322011010021 is an apocalyptic number.

It is an amenable number.

1322011010021 is a deficient number, since it is larger than the sum of its proper divisors (115789236883).

1322011010021 is a wasteful number, since it uses less digits than its factorization.

1322011010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006863031.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1322011010021 its reverse (1200101102231), we get a palindrome (2522112112252).

The spelling of 1322011010021 in words is "one trillion, three hundred twenty-two billion, eleven million, ten thousand, twenty-one".

Divisors: 1 13 101 1313 1006862917 13089217921 101693154617 1322011010021