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13122211212297 = 32116719753100153
BaseRepresentation
bin1011111011110100000010…
…1111001110110000001001
31201110110201110110100210200
42332331000233032300021
53204443242032243142
643524132143002413
72523022424642025
oct276750057166011
951413643410720
1013122211212297
1141aa10a1523a0
12157b209b99409
1374255accb715
14335192cc7385
1517b51382164c
hexbef40bcec09

13122211212297 has 48 divisors (see below), whose sum is σ = 20987313966528. Its totient is φ = 7833681123840.

The previous prime is 13122211212283. The next prime is 13122211212317. The reversal of 13122211212297 is 79221211222131.

13122211212297 is a `hidden beast` number, since 1 + 31 + 222 + 112 + 1 + 2 + 297 = 666.

It is not a de Polignac number, because 13122211212297 - 214 = 13122211195913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13122211292297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130971573 + ... + 131071725.

It is an arithmetic number, because the mean of its divisors is an integer number (437235707636).

Almost surely, 213122211212297 is an apocalyptic number.

It is an amenable number.

13122211212297 is a deficient number, since it is larger than the sum of its proper divisors (7865102754231).

13122211212297 is a wasteful number, since it uses less digits than its factorization.

13122211212297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119990 (or 119987 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The spelling of 13122211212297 in words is "thirteen trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twelve thousand, two hundred ninety-seven".

Divisors: 1 3 9 11 33 67 99 201 603 737 2211 6633 19753 59259 100153 177777 217283 300459 651849 901377 1101683 1323451 1955547 3305049 3970353 6710251 9915147 11911059 14557961 20130753 43673883 60392259 73812761 131021649 221438283 664314849 1978322209 5934966627 17804899881 21761544299 65284632897 132547588003 195853898691 397642764009 1192928292027 1458023468033 4374070404099 13122211212297