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13214320001233 = 13171931289240349
BaseRepresentation
bin1100000001001011001011…
…0110011000000011010001
31201210021110200101122111221
43000102302312120003101
53213000411410014413
644034324054005041
72532463111506211
oct300226266300321
951707420348457
1013214320001233
11423518616485a
121595035046781
1374b1499980b0
1433980dcbc241
1517db04d9e68d
hexc04b2d980d1

13214320001233 has 32 divisors (see below), whose sum is σ = 15157797732000. Its totient is φ = 11411923009536.

The previous prime is 13214320001219. The next prime is 13214320001237. The reversal of 13214320001233 is 33210002341231.

It can be written as a sum of positive squares in 16 ways, for example, as 2579598968769 + 10634721032464 = 1606113^2 + 3261092^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13214320001233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13214320001198 and 13214320001207.

It is not an unprimeable number, because it can be changed into a prime (13214320001237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54859543 + ... + 55099891.

It is an arithmetic number, because the mean of its divisors is an integer number (473681179125).

Almost surely, 213214320001233 is an apocalyptic number.

13214320001233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13214320001233 is a deficient number, since it is larger than the sum of its proper divisors (1943477730767).

13214320001233 is a wasteful number, since it uses less digits than its factorization.

13214320001233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241861.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13214320001233 its reverse (33210002341231), we get a palindrome (46424322342464).

The spelling of 13214320001233 in words is "thirteen trillion, two hundred fourteen billion, three hundred twenty million, one thousand, two hundred thirty-three".

Divisors: 1 13 17 193 221 1289 2509 3281 16757 21913 42653 240349 248777 284869 3124537 3234101 4085933 4229209 46387357 53117129 54979717 309809861 603035641 788585069 4027528193 5266767637 10251605897 59793303173 68467979281 777312941249 1016486153941 13214320001233