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13022132321322 = 233892709557287
BaseRepresentation
bin1011110101111111001110…
…0100100011110000101010
31201002220101210100221111000
42331133303210203300222
53201323311333240242
643410141321015430
72512550402256465
oct275376344436052
951086353327430
1013022132321322
114170723233343
121563939924576
13735c9c059637
143303bb5ac2dc
15178b07701a4c
hexbd7f3923c2a

13022132321322 has 32 divisors (see below), whose sum is σ = 29263218710400. Its totient is φ = 4291938741024.

The previous prime is 13022132321321. The next prime is 13022132321351. The reversal of 13022132321322 is 22312323122031.

13022132321322 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 13 + 2 + 321 + 322 = 666.

It is a super-3 number, since 3×130221323213223 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13022132321321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354773838 + ... + 1354783449.

It is an arithmetic number, because the mean of its divisors is an integer number (914475584700).

Almost surely, 213022132321322 is an apocalyptic number.

13022132321322 is an abundant number, since it is smaller than the sum of its proper divisors (16241086389078).

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

13022132321322 is a wasteful number, since it uses less digits than its factorization.

13022132321322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709557387 (or 2709557381 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13022132321322 its reverse (22312323122031), we get a palindrome (35334455443353).

The spelling of 13022132321322 in words is "thirteen trillion, twenty-two billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 801 1602 2403 4806 2709557287 5419114574 8128671861 16257343722 24386015583 48772031166 73158046749 146316093498 241150598543 482301197086 723451795629 1446903591258 2170355386887 4340710773774 6511066160661 13022132321322