Search a number
-
+
12993733601 = 1272333371303
BaseRepresentation
bin11000001100111110…
…01010001111100001
31020112120000001120122
430012133022033201
5203102343433401
65545204450025
7636665625152
oct140637121741
936476001518
1012993733601
115568695412
1226276a9915
1312c0cb9684
148b39b7929
15510b1521b
hex3067ca3e1

12993733601 has 16 divisors (see below), whose sum is σ = 13201403904. Its totient is φ = 12788181504.

The previous prime is 12993733583. The next prime is 12993733619. The reversal of 12993733601 is 10633739921.

It is a happy number.

12993733601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12993733583) and next prime (12993733619).

It is a cyclic number.

It is not a de Polignac number, because 12993733601 - 230 = 11919991777 is a prime.

It is a super-2 number, since 2×129937336012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12993733681) 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, 9971516 + ... + 9972818.

It is an arithmetic number, because the mean of its divisors is an integer number (825087744).

Almost surely, 212993733601 is an apocalyptic number.

It is an amenable number.

12993733601 is a deficient number, since it is larger than the sum of its proper divisors (207670303).

12993733601 is a wasteful number, since it uses less digits than its factorization.

12993733601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000.

The product of its (nonzero) digits is 183708, while the sum is 44.

The spelling of 12993733601 in words is "twelve billion, nine hundred ninety-three million, seven hundred thirty-three thousand, six hundred one".

Divisors: 1 127 233 337 1303 29591 42799 78521 165481 303599 439111 9972167 38557073 55767097 102312863 12993733601