Search a number
-
+
13933101 = 3721323317
BaseRepresentation
bin110101001001…
…101000101101
3222012212121210
4311021220231
512031324401
61214345033
7226300200
oct65115055
928185553
1013933101
117957166
1247bb179
132b6ab50
141bc9937
1513534d6
hexd49a2d

13933101 has 48 divisors (see below), whose sum is σ = 24361344. Its totient is φ = 7007616.

The previous prime is 13933067. The next prime is 13933109. The reversal of 13933101 is 10133931.

13933101 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 13933101 - 27 = 13932973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13933109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43795 + ... + 44111.

It is an arithmetic number, because the mean of its divisors is an integer number (507528).

Almost surely, 213933101 is an apocalyptic number.

It is an amenable number.

13933101 is a deficient number, since it is larger than the sum of its proper divisors (10428243).

13933101 is a wasteful number, since it uses less digits than its factorization.

13933101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 13933101 is about 3732.7069266151. The cubic root of 13933101 is about 240.6297178138.

The spelling of 13933101 in words is "thirteen million, nine hundred thirty-three thousand, one hundred one".

Divisors: 1 3 7 13 21 23 39 49 69 91 147 161 273 299 317 483 637 897 951 1127 1911 2093 2219 3381 4121 6279 6657 7291 12363 14651 15533 21873 28847 43953 46599 51037 86541 94783 153111 201929 284349 357259 605787 663481 1071777 1990443 4644367 13933101