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222131023121 = 7438317415107
BaseRepresentation
bin1100111011100000001…
…0100110110100010001
3210020100200201010220102
43032320002212310101
512114411020214441
6250013502422145
722022420354210
oct3167002466421
9706320633812
10222131023121
1186229198457
1237073291955
1317c40357527
14aa7340b077
155ba133469b
hex33b80a6d11

222131023121 has 32 divisors (see below), whose sum is σ = 263100085248. Its totient is φ = 183588068160.

The previous prime is 222131023111. The next prime is 222131023123. The reversal of 222131023121 is 121320131222.

It is not a de Polignac number, because 222131023121 - 230 = 221057281297 is a prime.

It is a super-3 number, since 3×2221310231213 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222131023093 and 222131023102.

It is not an unprimeable number, because it can be changed into a prime (222131023123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43492850 + ... + 43497956.

It is an arithmetic number, because the mean of its divisors is an integer number (8221877664).

Almost surely, 2222131023121 is an apocalyptic number.

It is an amenable number.

222131023121 is a deficient number, since it is larger than the sum of its proper divisors (40969062127).

222131023121 is a wasteful number, since it uses less digits than its factorization.

222131023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 222131023121 its reverse (121320131222), we get a palindrome (343451154343).

The spelling of 222131023121 in words is "two hundred twenty-two billion, one hundred thirty-one million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 7 43 83 301 581 1741 3569 5107 12187 24983 35749 74863 144503 219601 423881 524041 1011521 1537207 2967167 6213629 8891287 18226883 43495403 62239009 127588181 382325341 737976821 2676277387 5165837747 31733003303 222131023121