Search a number
-
+
13113202320 = 243356070927
BaseRepresentation
bin11000011011001101…
…11001011010010000
31020211212210200212000
430031212321122100
5203323434433240
610005113234000
7642646244361
oct141546713220
936755720760
1013113202320
11561a073a99
12265b702900
13130c98881a
148c57d5b68
1551b363430
hex30d9b9690

13113202320 has 80 divisors (see below), whose sum is σ = 45167704320. Its totient is φ = 3496853376.

The previous prime is 13113202307. The next prime is 13113202327. The reversal of 13113202320 is 2320231131.

13113202320 is a `hidden beast` number, since 1 + 311 + 32 + 0 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 13113202293 and 13113202302.

It is not an unprimeable number, because it can be changed into a prime (13113202327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3033304 + ... + 3037623.

It is an arithmetic number, because the mean of its divisors is an integer number (564596304).

Almost surely, 213113202320 is an apocalyptic number.

13113202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113202320 is an abundant number, since it is smaller than the sum of its proper divisors (32054502000).

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

13113202320 is a wasteful number, since it uses less digits than its factorization.

13113202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070949 (or 6070937 counting only the distinct ones).

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

Adding to 13113202320 its reverse (2320231131), we get a palindrome (15433433451).

The spelling of 13113202320 in words is "thirteen billion, one hundred thirteen million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 6070927 12141854 18212781 24283708 30354635 36425562 48567416 54638343 60709270 72851124 91063905 97134832 109276686 121418540 145702248 163915029 182127810 218553372 242837080 273191715 291404496 327830058 364255620 437106744 485674160 546383430 655660116 728511240 819575145 874213488 1092766860 1311320232 1457022480 1639150290 2185533720 2622640464 3278300580 4371067440 6556601160 13113202320