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13322000131002 = 2327110424100259
BaseRepresentation
bin1100000111011100010100…
…0101011110001110111010
31202011120102002120000012100
43001313011011132032322
53221231424013143002
644200013052524230
72543324403506463
oct301670505361672
952146362500170
1013322000131002
114276912852042
1215b1a86a80676
1375834a683804
14340b06d3dd6a
1518180849d11c
hexc1dc515e3ba

13322000131002 has 24 divisors (see below), whose sum is σ = 29270873530080. Its totient is φ = 4378122108360.

The previous prime is 13322000130953. The next prime is 13322000131009. The reversal of 13322000131002 is 20013100022331.

13322000131002 is a `hidden beast` number, since 1 + 332 + 20 + 0 + 0 + 1 + 310 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13322000131009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5212048852 + ... + 5212051407.

It is an arithmetic number, because the mean of its divisors is an integer number (1219619730420).

Almost surely, 213322000131002 is an apocalyptic number.

13322000131002 is an abundant number, since it is smaller than the sum of its proper divisors (15948873399078).

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

13322000131002 is a wasteful number, since it uses less digits than its factorization.

13322000131002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424100338 (or 10424100335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13322000131002 its reverse (20013100022331), we get a palindrome (33335100153333).

The spelling of 13322000131002 in words is "thirteen trillion, three hundred twenty-two billion, one hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 10424100259 20848200518 31272300777 62544601554 93816902331 187633804662 740111118389 1480222236778 2220333355167 4440666710334 6661000065501 13322000131002