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22231111331121 = 3711262007367313
BaseRepresentation
bin1010000111000000101010…
…11111100110110100110001
32220201021101101001102012020
411003200111133212310301
510403213304000043441
6115140455341022053
74453100443311150
oct503402537466461
986637341042166
1022231111331121
1170a1185867620
1225b0656254929
13c53500549734
1456bdc4a85597
15288437784e66
hex1438157e6d31

22231111331121 has 32 divisors (see below), whose sum is σ = 36955855300608. Its totient is φ = 11548553744640.

The previous prime is 22231111331113. The next prime is 22231111331167. The reversal of 22231111331121 is 12113311113222.

It is not a de Polignac number, because 22231111331121 - 23 = 22231111331113 is a prime.

It is a super-3 number, since 3×222311113311213 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22231111331091 and 22231111331100.

It is not an unprimeable number, because it can be changed into a prime (22231111331101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60339961 + ... + 60707273.

It is an arithmetic number, because the mean of its divisors is an integer number (1154870478144).

Almost surely, 222231111331121 is an apocalyptic number.

22231111331121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22231111331121 is a deficient number, since it is larger than the sum of its proper divisors (14724743969487).

22231111331121 is a wasteful number, since it uses less digits than its factorization.

22231111331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629341.

The product of its digits is 432, while the sum is 24.

Adding to 22231111331121 its reverse (12113311113222), we get a palindrome (34344422444343).

The spelling of 22231111331121 in words is "twenty-two trillion, two hundred thirty-one billion, one hundred eleven million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 231 262007 367313 786021 1101939 1834049 2571191 2882077 4040443 5502147 7713573 8646231 12121329 20174539 28283101 60523617 84849303 96238577191 288715731573 673670040337 1058624349101 2021010121011 3175873047303 7410370443707 22231111331121