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22324130412131 = 318923345775989
BaseRepresentation
bin1010001001101101111011…
…10111001111011001100011
32221001011111000212022212202
411010312331313033121203
510411224304341142011
6115251321450443415
74462602522411152
oct504667567173143
987034430768782
1022324130412131
1171276796a0989
12260669613356b
13c5c2059a4282
145726ca915599
1528aa7dbc423b
hex144dbddcf663

22324130412131 has 32 divisors (see below), whose sum is σ = 23454720806400. Its totient is φ = 21222755389440.

The previous prime is 22324130412127. The next prime is 22324130412217. The reversal of 22324130412131 is 13121403142322.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22324130412131 - 22 = 22324130412127 is a prime.

It is a super-3 number, since 3×223241304121313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22324130412094 and 22324130412103.

It is not an unprimeable number, because it can be changed into a prime (22324130412431) 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, 293743085 + ... + 293819073.

It is an arithmetic number, because the mean of its divisors is an integer number (732960025200).

Almost surely, 222324130412131 is an apocalyptic number.

22324130412131 is a deficient number, since it is larger than the sum of its proper divisors (1130590394269).

22324130412131 is a wasteful number, since it uses less digits than its factorization.

22324130412131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76799.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 22324130412131 its reverse (13121403142322), we get a palindrome (35445533554453).

The spelling of 22324130412131 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred thirty million, four hundred twelve thousand, one hundred thirty-one".

Divisors: 1 31 89 233 457 2759 7223 14167 20737 40673 75989 106481 642847 1260863 2355659 3300911 6763021 9476809 17705437 34726973 209653651 293781079 548868547 1076536163 1575783893 3090700597 8091384709 48849300683 95811718507 250832925979 720133239101 22324130412131