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113222000331 = 321121937712083
BaseRepresentation
bin110100101110010001…
…1101001111011001011
3101211020122011112220200
41221130203221323023
53323334313002311
6124002524223243
711115514060266
oct1513443517313
9354218145820
10113222000331
114402095a700
1219b3999ab23
13a8a4b9c48b
1456a1097cdd
152e29dde556
hex1a5c8e9ecb

113222000331 has 144 divisors (see below), whose sum is σ = 197169073920. Its totient is φ = 62330083200.

The previous prime is 113222000299. The next prime is 113222000347. The reversal of 113222000331 is 133000222311.

113222000331 is a `hidden beast` number, since 1 + 132 + 2 + 200 + 0 + 331 = 666.

It is not a de Polignac number, because 113222000331 - 25 = 113222000299 is a prime.

It is a super-2 number, since 2×1132220003312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113222000351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54354216 + ... + 54356298.

It is an arithmetic number, because the mean of its divisors is an integer number (1369229680).

Almost surely, 2113222000331 is an apocalyptic number.

113222000331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113222000331 is a deficient number, since it is larger than the sum of its proper divisors (83947073589).

113222000331 is a wasteful number, since it uses less digits than its factorization.

113222000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2224 counting only the distinct ones).

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

Adding to 113222000331 its reverse (133000222311), we get a palindrome (246222222642).

The spelling of 113222000331 in words is "one hundred thirteen billion, two hundred twenty-two million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 11 19 33 37 57 71 99 111 121 171 209 213 333 363 407 627 639 703 781 1089 1221 1349 1881 2083 2109 2299 2343 2627 3663 4047 4477 6249 6327 6897 7029 7733 7881 8591 12141 13431 14839 18747 20691 22913 23199 23643 25773 28897 39577 40293 44517 49913 68739 69597 77071 77319 85063 86691 118731 133551 147893 149739 163229 206217 231213 252043 255189 260073 317867 356193 435347 443679 449217 489687 549043 693639 756129 765567 847781 953601 1306041 1331037 1464349 1469061 1626823 1647129 2268387 2543343 2809967 2860803 3918123 4393047 4788817 4880469 4941387 5472041 6039473 7630029 8429901 9325591 13179141 14366451 14641407 16107839 16416123 17895053 18118419 25289703 27976773 30909637 43099353 48323517 49248369 53685159 54355257 60192451 83930319 92728911 103968779 144970551 161055477 177186229 180577353 278186733 311906337 340006007 531558687 541732059 662116961 935719011 1020018021 1143656569 1594676061 1986350883 3060054063 3430969707 5959052649 10292909121 12580222259 37740666777 113222000331