Search a number
-
+
13221301010033 = 607149571456267
BaseRepresentation
bin1100000001100101001011…
…1100110011111001110001
31201210221111012101122021102
43000121102330303321301
53213104211024310113
644041440513134145
72533131110220434
oct300312274637161
951727435348242
1013221301010033
114238138818016
121596462b5a355
1374b9c0081b2c
14339cb30d381b
1517ddb2bb6758
hexc0652f33e71

13221301010033 has 8 divisors (see below), whose sum is σ = 13243976900352. Its totient is φ = 13198628063376.

The previous prime is 13221301009997. The next prime is 13221301010131. The reversal of 13221301010033 is 33001010312231.

13221301010033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13221301010033 - 210 = 13221301009009 is a prime.

It is a super-3 number, since 3×132213010100333 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13221301009987 and 13221301010014.

It is not an unprimeable number, because it can be changed into a prime (13221301010633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8350766 + ... + 9807032.

It is an arithmetic number, because the mean of its divisors is an integer number (1655497112544).

Almost surely, 213221301010033 is an apocalyptic number.

It is an amenable number.

13221301010033 is a deficient number, since it is larger than the sum of its proper divisors (22675890319).

13221301010033 is a wasteful number, since it uses less digits than its factorization.

13221301010033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471831.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13221301010033 its reverse (33001010312231), we get a palindrome (46222311322264).

The spelling of 13221301010033 in words is "thirteen trillion, two hundred twenty-one billion, three hundred one million, ten thousand, thirty-three".

Divisors: 1 607 14957 1456267 9078899 883954069 21781385519 13221301010033