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13223213122131 = 331744072808079
BaseRepresentation
bin1100000001101100010011…
…1010111100001001010011
31201211010102110100222222000
43000123010322330021103
53213122120024402011
644042354340245043
72533226356004325
oct300330472741123
951733373328860
1013223213122131
114238a2a096151
1215968b73a0783
1374bc362666cc
1433a015031615
1517de759b8356
hexc06c4ebc253

13223213122131 has 16 divisors (see below), whose sum is σ = 19590064665600. Its totient is φ = 8815421730024.

The previous prime is 13223213122121. The next prime is 13223213122177. The reversal of 13223213122131 is 13122131232231.

13223213122131 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 321 + 312 + 21 + 3 + 1 = 666.

It is not a de Polignac number, because 13223213122131 - 219 = 13223212597843 is a prime.

It is a super-2 number, since 2×132232131221312 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13223213122095 and 13223213122104.

It is not an unprimeable number, because it can be changed into a prime (13223213122121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3304950 + ... + 6113028.

It is an arithmetic number, because the mean of its divisors is an integer number (1224379041600).

Almost surely, 213223213122131 is an apocalyptic number.

13223213122131 is a deficient number, since it is larger than the sum of its proper divisors (6366851543469).

13223213122131 is a wasteful number, since it uses less digits than its factorization.

13223213122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982495 (or 2982489 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13223213122131 its reverse (13122131232231), we get a palindrome (26345344354362).

The spelling of 13223213122131 in words is "thirteen trillion, two hundred twenty-three billion, two hundred thirteen million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 174407 523221 1569663 2808079 4708989 8424237 25272711 75818133 489748634153 1469245902459 4407737707377 13223213122131