Search a number
-
+
112013123202 = 23289971794027
BaseRepresentation
bin110100001010010000…
…0001001111010000010
3101201010101110020020200
41220110200021322002
53313400324420302
6123242541550030
711043534560211
oct1502440117202
9351111406220
10112013123202
11435605403a2
1219860b75316
13a7415ba576
1455c86d7078
152da8bed81c
hex1a14809e82

112013123202 has 96 divisors (see below), whose sum is σ = 249399259200. Its totient is φ = 36324440064.

The previous prime is 112013123171. The next prime is 112013123207. The reversal of 112013123202 is 202321310211.

112013123202 is a `hidden beast` number, since 11 + 20 + 1 + 312 + 320 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112013123207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27813513 + ... + 27817539.

It is an arithmetic number, because the mean of its divisors is an integer number (2597908950).

Almost surely, 2112013123202 is an apocalyptic number.

112013123202 is an abundant number, since it is smaller than the sum of its proper divisors (137386135998).

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

112013123202 is a wasteful number, since it uses less digits than its factorization.

112013123202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112013123202 its reverse (202321310211), we get a palindrome (314334433413).

The spelling of 112013123202 in words is "one hundred twelve billion, thirteen million, one hundred twenty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 89 97 178 179 194 267 291 358 534 537 582 801 873 1074 1602 1611 1746 3222 4027 8054 8633 12081 15931 17266 17363 24162 25899 31862 34726 36243 47793 51798 52089 72486 77697 95586 104178 143379 155394 156267 286758 312534 358403 390619 716806 720833 781238 1075209 1171857 1441666 1545307 2150418 2162499 2343714 3090614 3225627 3515571 4324998 4635921 6451254 6487497 7031142 9271842 12974994 13907763 27815526 34765091 64154137 69530182 69920801 104295273 128308274 139841602 192462411 208590546 209762403 312885819 384924822 419524806 577387233 625771638 629287209 1154774466 1258574418 6222951289 12445902578 18668853867 37337707734 56006561601 112013123202