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13113222100 = 225211112910559
BaseRepresentation
bin11000011011001101…
…11110001111010100
31020211212211200222121
430031212332033110
5203323441101400
610005113505324
7642646356136
oct141546761724
936755750877
1013113222100
11561a087940
12265b712244
13130c994824
148c57dd056
1551b36921a
hex30d9be3d4

13113222100 has 72 divisors (see below), whose sum is σ = 31073011200. Its totient is φ = 4763769600.

The previous prime is 13113222091. The next prime is 13113222103. The reversal of 13113222100 is 122231131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1236621 + ... + 1247179.

It is an arithmetic number, because the mean of its divisors is an integer number (431569600).

Almost surely, 213113222100 is an apocalyptic number.

13113222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536505600).

13113222100 is an abundant number, since it is smaller than the sum of its proper divisors (17959789100).

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

13113222100 is a wasteful number, since it uses less digits than its factorization.

13113222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11713 (or 11706 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13113222100 its reverse (122231131), we get a palindrome (13235453231).

It can be divided in two parts, 131 and 13222100, that added together give a palindrome (13222231).

The spelling of 13113222100 in words is "thirteen billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1129 2258 4516 5645 10559 11290 12419 21118 22580 24838 28225 42236 49676 52795 56450 62095 105590 112900 116149 124190 211180 232298 248380 263975 310475 464596 527950 580745 620950 1055900 1161490 1241900 2322980 2903725 5807450 11614900 11921111 23842222 47684444 59605555 119211110 131132221 238422220 262264442 298027775 524528884 596055550 655661105 1192111100 1311322210 2622644420 3278305525 6556611050 13113222100