Search a number
-
+
30131013420 = 223652066599
BaseRepresentation
bin11100000011111100…
…101100011100101100
32212202212211002000000
4130003330230130230
5443202014412140
621501512104300
72114450250114
oct340374543454
985685732000
1030131013420
1111862198392
125a0a995090
132ac2576c31
14165b9d0044
15bb53a7a30
hex703f2c72c

30131013420 has 84 divisors (see below), whose sum is σ = 94869339600. Its totient is φ = 8034933024.

The previous prime is 30131013413. The next prime is 30131013421. The reversal of 30131013420 is 2431013103.

30131013420 is a `hidden beast` number, since 301 + 310 + 1 + 34 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30131013393 and 30131013402.

It is not an unprimeable number, because it can be changed into a prime (30131013421) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1018720 + ... + 1047879.

It is an arithmetic number, because the mean of its divisors is an integer number (1129396900).

Almost surely, 230131013420 is an apocalyptic number.

30131013420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30131013420 is an abundant number, since it is smaller than the sum of its proper divisors (64738326180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30131013420 is a wasteful number, since it uses less digits than its factorization.

30131013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066626 (or 2066609 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30131013420 its reverse (2431013103), we get a palindrome (32562026523).

The spelling of 30131013420 in words is "thirty billion, one hundred thirty-one million, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 2066599 4133198 6199797 8266396 10332995 12399594 18599391 20665990 24799188 30998985 37198782 41331980 55798173 61997970 74397564 92996955 111596346 123995940 167394519 185993910 223192692 278990865 334789038 371987820 502183557 557981730 669578076 836972595 1004367114 1115963460 1506550671 1673945190 2008734228 2510917785 3013101342 3347890380 5021835570 6026202684 7532753355 10043671140 15065506710 30131013420