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13122002001213 = 33778788219291
BaseRepresentation
bin1011111011110011010001…
…0001001001110100111101
31201110110011212210100011000
42332330310101021310331
53204442330003014323
643524055310520513
72523014304452130
oct276746421116475
951413155710130
1013122002001213
1141aa012048a76
12157b16bb06139
1374252686a991
143351731c8217
1517b500297e43
hexbef34449d3d

13122002001213 has 32 divisors (see below), whose sum is σ = 22245376670720. Its totient is φ = 7488759089520.

The previous prime is 13122002001211. The next prime is 13122002001257. The reversal of 13122002001213 is 31210020022131.

13122002001213 is a `hidden beast` number, since 1 + 31 + 220 + 0 + 200 + 1 + 213 = 666.

It is not a de Polignac number, because 13122002001213 - 21 = 13122002001211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122002001211) 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, 43960903 + ... + 44258388.

It is an arithmetic number, because the mean of its divisors is an integer number (695168020960).

Almost surely, 213122002001213 is an apocalyptic number.

It is an amenable number.

13122002001213 is a deficient number, since it is larger than the sum of its proper divisors (9123374669507).

13122002001213 is an equidigital number, since it uses as much as digits as its factorization.

13122002001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88220094 (or 88220088 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13122002001213 its reverse (31210020022131), we get a palindrome (44332022023344).

The spelling of 13122002001213 in words is "thirteen trillion, one hundred twenty-two billion, two million, one thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 787 2361 5509 7083 16527 21249 49581 148743 88219291 264657873 617535037 793973619 1852605111 2381920857 5557815333 16673445999 69428582017 208285746051 486000074119 624857238153 1458000222357 1874571714459 4374000667071 13122002001213