Search a number
-
+
1312311123201 = 3131710918159203
BaseRepresentation
bin10011000110001011110…
…101101001110100000001
311122110022012220022101010
4103012023311221310001
5133000103121420301
62442511205431133
7163545202333011
oct23061365516401
94573265808333
101312311123201
11466603465281
1219240240b4a9
139699a852920
1447732633c41
1524209b505d6
hex1318bd69d01

1312311123201 has 32 divisors (see below), whose sum is σ = 2013492539520. Its totient is φ = 753098425344.

The previous prime is 1312311123181. The next prime is 1312311123323. The reversal of 1312311123201 is 1023211132131.

It is not a de Polignac number, because 1312311123201 - 217 = 1312310992129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1312311123701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9007335 + ... + 9151868.

It is an arithmetic number, because the mean of its divisors is an integer number (62921641860).

Almost surely, 21312311123201 is an apocalyptic number.

It is an amenable number.

1312311123201 is a deficient number, since it is larger than the sum of its proper divisors (701181416319).

1312311123201 is a wasteful number, since it uses less digits than its factorization.

1312311123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18159345.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1312311123201 its reverse (1023211132131), we get a palindrome (2335522255332).

The spelling of 1312311123201 in words is "one trillion, three hundred twelve billion, three hundred eleven million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 3 13 17 39 51 109 221 327 663 1417 1853 4251 5559 24089 72267 18159203 54477609 236069639 308706451 708208917 926119353 1979353127 4013183863 5938059381 12039551589 25731590651 33649003159 77194771953 100947009477 437437041067 1312311123201