Search a number
-
+
13213110079 = 138915977151
BaseRepresentation
bin11000100111001000…
…00000111100111111
31021002211210112112101
430103210000330333
5204030024010304
610023042445531
7645301403551
oct142344007477
937084715471
1013213110079
115670502194
1226890638a7
131327599340
148d4ba14d1
15524eea8a4
hex313900f3f

13213110079 has 16 divisors (see below), whose sum is σ = 14400408960. Its totient is φ = 12050438400.

The previous prime is 13213110077. The next prime is 13213110149. The reversal of 13213110079 is 97001131231.

13213110079 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13213110079 - 21 = 13213110077 is a prime.

It is a super-4 number, since 4×132131100794 (a number of 42 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213110077) 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 15 ways as a sum of consecutive naturals, for example, 1844154 + ... + 1851304.

It is an arithmetic number, because the mean of its divisors is an integer number (900025560).

Almost surely, 213213110079 is an apocalyptic number.

13213110079 is a deficient number, since it is larger than the sum of its proper divisors (1187298881).

13213110079 is a wasteful number, since it uses less digits than its factorization.

13213110079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8850.

The product of its (nonzero) digits is 1134, while the sum is 28.

The spelling of 13213110079 in words is "thirteen billion, two hundred thirteen million, one hundred ten thousand, seventy-nine".

Divisors: 1 13 89 1157 1597 7151 20761 92963 142133 636439 1847729 8273707 11420147 148461911 1016393083 13213110079