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1331322323220 = 223257396235129
BaseRepresentation
bin10011010111111000111…
…111101000000100010100
311201021101010211100001100
4103113320333220010110
5133303022003320340
62455333453430100
7165120260014101
oct23277077500424
94637333740040
101331322323220
1147367982022a
1219602919b330
139870a4121c6
1448617485aa8
152496db9d830
hex135f8fe8114

1331322323220 has 36 divisors (see below), whose sum is σ = 4038344380980. Its totient is φ = 355019286144.

The previous prime is 1331322323209. The next prime is 1331322323231. The reversal of 1331322323220 is 223232231331.

1331322323220 is a `hidden beast` number, since 1 + 3 + 313 + 2 + 2 + 323 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1331322323209) and next prime (1331322323231).

It can be written as a sum of positive squares in 2 ways, for example, as 210070055556 + 1121252267664 = 458334^2 + 1058892^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3698117385 + ... + 3698117744.

It is an arithmetic number, because the mean of its divisors is an integer number (112176232805).

Almost surely, 21331322323220 is an apocalyptic number.

1331322323220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331322323220 is an abundant number, since it is smaller than the sum of its proper divisors (2707022057760).

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

1331322323220 is a wasteful number, since it uses less digits than its factorization.

1331322323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396235144 (or 7396235139 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1331322323220 its reverse (223232231331), we get a palindrome (1554554554551).

The spelling of 1331322323220 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-two million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7396235129 14792470258 22188705387 29584940516 36981175645 44377410774 66566116161 73962351290 88754821548 110943526935 133132232322 147924702580 221887053870 266264464644 332830580805 443774107740 665661161610 1331322323220