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31320322221213 = 3367187126833449
BaseRepresentation
bin1110001111100010101001…
…01011100010010010011101
311002220012020002220000101000
413013301110223202102131
513101123004442034323
6150340205110340513
76411550532164134
oct707612453422235
9132805202800330
1031320322221213
119a85968413893
12361a10865a739
1314626558bc54c
147a3ca993691b
15394aa7db7e43
hex1c7c54ae249d

31320322221213 has 64 divisors (see below), whose sum is σ = 47149420032000. Its totient is φ = 20543956076160.

The previous prime is 31320322221211. The next prime is 31320322221257. The reversal of 31320322221213 is 31212222302313.

31320322221213 is a `hidden beast` number, since 3 + 1 + 3 + 203 + 22 + 221 + 213 = 666.

It is not a de Polignac number, because 31320322221213 - 21 = 31320322221211 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31320322221211) 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 63 ways as a sum of consecutive naturals, for example, 9080984713 + ... + 9080988161.

It is an arithmetic number, because the mean of its divisors is an integer number (736709688000).

Almost surely, 231320322221213 is an apocalyptic number.

It is an amenable number.

31320322221213 is a deficient number, since it is larger than the sum of its proper divisors (15829097810787).

31320322221213 is a wasteful number, since it uses less digits than its factorization.

31320322221213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31320322221213 its reverse (31212222302313), we get a palindrome (62532544523526).

The spelling of 31320322221213 in words is "thirty-one trillion, three hundred twenty billion, three hundred twenty-two million, two hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 27 67 201 603 1809 1871 2683 3449 5613 8049 10347 16839 24147 31041 50517 72441 93123 125357 179761 231083 376071 539283 693249 1128213 1617849 2079747 3384639 4853547 5019893 6239241 6453079 9253667 15059679 19359237 27761001 45179037 58077711 83283003 135537111 174233133 249849009 336332831 432356293 619995689 1008998493 1297068879 1859987067 3026995479 3891206637 5579961201 9080986437 11673619911 16739883603 17313610957 51940832871 155822498613 467467495839 1160011934119 3480035802357 10440107407071 31320322221213