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10322133321330 = 2325293954840353
BaseRepresentation
bin1001011000110100111100…
…0101110000011001110010
31100112210020012220111112100
42112031033011300121302
52323104212112240310
633541531140041230
72113515041401365
oct226151705603162
940483205814470
1010322133321330
11331a657187216
1211a85b9693216
1359b4b061856c
142798459d80dc
1512d7807b7ec0
hex9634f170672

10322133321330 has 48 divisors (see below), whose sum is σ = 27762979285080. Its totient is φ = 2657652716544.

The previous prime is 10322133321329. The next prime is 10322133321337. The reversal of 10322133321330 is 3312333122301.

10322133321330 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 1 + 3 + 3 + 321 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6530237817489 + 3791895503841 = 2555433^2 + 1947279^2 .

It is a super-2 number, since 2×103221333213302 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10322133321294 and 10322133321303.

It is not an unprimeable number, because it can be changed into a prime (10322133321337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1977417567 + ... + 1977422786.

Almost surely, 210322133321330 is an apocalyptic number.

10322133321330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10322133321330 is an abundant number, since it is smaller than the sum of its proper divisors (17440845963750).

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

10322133321330 is a wasteful number, since it uses less digits than its factorization.

10322133321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954840395 (or 3954840392 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 10322133321330 its reverse (3312333122301), we get a palindrome (13634466443631).

The spelling of 10322133321330 in words is "ten trillion, three hundred twenty-two billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 3954840353 7909680706 11864521059 19774201765 23729042118 35593563177 39548403530 59322605295 71187126354 114690370237 118645210590 177967815885 229380740474 344071110711 355935631770 573451851185 688142221422 1032213332133 1146903702370 1720355553555 2064426664266 3440711107110 5161066660665 10322133321330