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223222121031 = 37134319015429
BaseRepresentation
bin1100111111100100010…
…0110100001001000111
3210100011201210122212010
43033321010310021013
512124124330333111
6250314040425303
722061436502530
oct3177104641107
9710151718763
10223222121031
1186739082468
1237318778233
131808540c2b0
14ab382ad687
155c1700caa6
hex33f9134247

223222121031 has 32 divisors (see below), whose sum is σ = 374832156160. Its totient is φ = 115005308544.

The previous prime is 223222121021. The next prime is 223222121041. The reversal of 223222121031 is 130121222322.

223222121031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223222121021) and next prime (223222121041).

It is not a de Polignac number, because 223222121031 - 26 = 223222120967 is a prime.

It is a super-3 number, since 3×2232221210313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 223222120989 and 223222121007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223222121021) 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 31 ways as a sum of consecutive naturals, for example, 9495976 + ... + 9519453.

It is an arithmetic number, because the mean of its divisors is an integer number (11713504880).

Almost surely, 2223222121031 is an apocalyptic number.

223222121031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

223222121031 is a deficient number, since it is larger than the sum of its proper divisors (151610035129).

223222121031 is a wasteful number, since it uses less digits than its factorization.

223222121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19015495.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 223222121031 its reverse (130121222322), we get a palindrome (353343343353).

The spelling of 223222121031 in words is "two hundred twenty-three billion, two hundred twenty-two million, one hundred twenty-one thousand, thirty-one".

Divisors: 1 3 7 13 21 39 43 91 129 273 301 559 903 1677 3913 11739 19015429 57046287 133108003 247200577 399324009 741601731 817663447 1730404039 2452990341 5191212117 5723644129 10629624811 17170932387 31888874433 74407373677 223222121031