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23123213320131 = 3331211130930333
BaseRepresentation
bin1010100000111110010101…
…11010100111111111000011
310000212120001111022222011000
411100133022322213333003
511012322320102221011
6121102354010423043
74604411532146451
oct520371272477703
9100776044288130
1023123213320131
117405555109901
122715525431a83
13cb9681951652
1459d2531519d1
152a174b710356
hex1507caea7fc3

23123213320131 has 32 divisors (see below), whose sum is σ = 35529255434240. Its totient is φ = 14847499648800.

The previous prime is 23123213320121. The next prime is 23123213320159. The reversal of 23123213320131 is 13102331232132.

23123213320131 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 321 + 3 + 320 + 13 + 1 = 666.

It is not a de Polignac number, because 23123213320131 - 219 = 23123212795843 is a prime.

It is a super-2 number, since 2×231232133201312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23123213320095 and 23123213320104.

It is not an unprimeable number, because it can be changed into a prime (23123213320121) 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, 65288560 + ... + 65641773.

It is an arithmetic number, because the mean of its divisors is an integer number (1110289232320).

Almost surely, 223123213320131 is an apocalyptic number.

23123213320131 is a deficient number, since it is larger than the sum of its proper divisors (12406042114109).

23123213320131 is a wasteful number, since it uses less digits than its factorization.

23123213320131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130930584 (or 130930578 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 23123213320131 its reverse (13102331232132), we get a palindrome (36225544552263).

The spelling of 23123213320131 in words is "twenty-three trillion, one hundred twenty-three billion, two hundred thirteen million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 27 31 93 211 279 633 837 1899 5697 6541 19623 58869 176607 130930333 392790999 1178372997 3535118991 4058840323 12176520969 27626300263 36529562907 82878900789 109588688721 248636702367 745910107101 856415308153 2569245924459 7707737773377 23123213320131