Search a number
-
+
13000878033 = 3112136534219
BaseRepresentation
bin11000001101110100…
…11010011111010001
31020120001110000220020
430012322122133101
5203111211044113
65550021534053
7640113432333
oct140672323721
936501400806
1013000878033
115571725100
122629b74329
1312c261b550
148b4917453
15511577023
hex306e9a7d1

13000878033 has 48 divisors (see below), whose sum is σ = 20555586240. Its totient is φ = 7260359040.

The previous prime is 13000878029. The next prime is 13000878047. The reversal of 13000878033 is 33087800031.

It is not a de Polignac number, because 13000878033 - 22 = 13000878029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13000877985 and 13000878003.

It is not an unprimeable number, because it can be changed into a prime (13000878433) 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, 3079398 + ... + 3083616.

It is an arithmetic number, because the mean of its divisors is an integer number (428241380).

Almost surely, 213000878033 is an apocalyptic number.

13000878033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13000878033 is a deficient number, since it is larger than the sum of its proper divisors (7554708207).

13000878033 is a wasteful number, since it uses less digits than its factorization.

13000878033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 13000878033 in words is "thirteen billion, eight hundred seventy-eight thousand, thirty-three".

Divisors: 1 3 11 13 33 39 121 143 363 429 653 1573 1959 4219 4719 7183 8489 12657 21549 25467 46409 54847 79013 93379 139227 164541 237039 280137 510499 603317 1027169 1531497 1809951 2755007 3081507 6636487 8265021 19909461 30305077 35815091 90915231 107445273 333355847 393966001 1000067541 1181898003 4333626011 13000878033