Search a number
-
+
13131030120 = 2335138417327
BaseRepresentation
bin11000011101010101…
…11001111001101000
31020220010100102222220
430032222321321220
5203343020430440
610010551314040
7643253625435
oct141652717150
936803312886
1013131030120
11562914030a
12266567b920
13131358b310
148c7d16b8c
1551cbd58d0
hex30eab9e68

13131030120 has 64 divisors (see below), whose sum is σ = 42423333120. Its totient is φ = 3232253184.

The previous prime is 13131030091. The next prime is 13131030139. The reversal of 13131030120 is 2103013131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13131030120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4207104 + ... + 4210223.

It is an arithmetic number, because the mean of its divisors is an integer number (662864580).

Almost surely, 213131030120 is an apocalyptic number.

13131030120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131030120 is an abundant number, since it is smaller than the sum of its proper divisors (29292303000).

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

13131030120 is a wasteful number, since it uses less digits than its factorization.

13131030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417354 (or 8417350 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13131030120 its reverse (2103013131), we get a palindrome (15234043251).

The spelling of 13131030120 in words is "thirteen billion, one hundred thirty-one million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 8417327 16834654 25251981 33669308 42086635 50503962 67338616 84173270 101007924 109425251 126259905 168346540 202015848 218850502 252519810 328275753 336693080 437701004 505039620 547126255 656551506 875402008 1010079240 1094252510 1313103012 1641378765 2188505020 2626206024 3282757530 4377010040 6565515060 13131030120