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13113133020 = 22325135603903
BaseRepresentation
bin11000011011001101…
…01000011111011100
31020211212200011210100
430031212220133130
5203323430224040
610005111541100
7642645535341
oct141546503734
936755604710
1013113133020
11561a026a19
12265b68a790
13130c963110
148c57b87c8
1551b34cb30
hex30d9a87dc

13113133020 has 72 divisors (see below), whose sum is σ = 42836242176. Its totient is φ = 3227847552.

The previous prime is 13113132943. The next prime is 13113133051. The reversal of 13113133020 is 2033131131.

It is a happy number.

13113133020 is a `hidden beast` number, since 1 + 311 + 3 + 1 + 330 + 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 = 13113132984 and 13113133002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799612 + ... + 2804291.

It is an arithmetic number, because the mean of its divisors is an integer number (594947808).

Almost surely, 213113133020 is an apocalyptic number.

13113133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113133020 is an abundant number, since it is smaller than the sum of its proper divisors (29723109156).

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

13113133020 is a wasteful number, since it uses less digits than its factorization.

13113133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603931 (or 5603926 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13113133020 its reverse (2033131131), we get a palindrome (15146264151).

The spelling of 13113133020 in words is "thirteen billion, one hundred thirteen million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5603903 11207806 16811709 22415612 28019515 33623418 50435127 56039030 67246836 72850739 84058545 100870254 112078060 145701478 168117090 201740508 218552217 252175635 291402956 336234180 364253695 437104434 504351270 655656651 728507390 874208868 1008702540 1092761085 1311313302 1457014780 2185522170 2622626604 3278283255 4371044340 6556566510 13113133020