Search a number
-
+
1311233021301 = 371929337336263
BaseRepresentation
bin10011000101001011100…
…101000001010101110101
311122100112002021001121010
4103011023211001111311
5132440401123140201
62442212214142433
7163506401532540
oct23051345012565
94570462231533
101311233021301
114660aa947375
12192161351a19
139685839b2c8
144766d395857
1524195192bd6
hex1314b941575

1311233021301 has 64 divisors (see below), whose sum is σ = 2182218854400. Its totient is φ = 683327425536.

The previous prime is 1311233021297. The next prime is 1311233021309. The reversal of 1311233021301 is 1031203321131.

It is a happy number.

It is not a de Polignac number, because 1311233021301 - 22 = 1311233021297 is a prime.

It is a super-4 number, since 4×13112330213014 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311233021309) 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 63 ways as a sum of consecutive naturals, for example, 3731296 + ... + 4067558.

It is an arithmetic number, because the mean of its divisors is an integer number (34097169600).

Almost surely, 21311233021301 is an apocalyptic number.

It is an amenable number.

1311233021301 is a deficient number, since it is larger than the sum of its proper divisors (870985833099).

1311233021301 is a wasteful number, since it uses less digits than its factorization.

1311233021301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336658.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1311233021301 its reverse (1031203321131), we get a palindrome (2342436342432).

The spelling of 1311233021301 in words is "one trillion, three hundred eleven billion, two hundred thirty-three million, twenty-one thousand, three hundred one".

Divisors: 1 3 7 19 21 29 57 87 133 203 337 399 551 609 1011 1653 2359 3857 6403 7077 9773 11571 19209 29319 44821 68411 134463 185687 205233 336263 557061 1008789 1299809 2353841 3899427 6388997 7061523 9751627 19166991 29254881 44722979 68261389 113320631 134168937 185280913 204784167 339961893 555842739 793244417 1296966391 2153091989 2379733251 3286298299 3890899173 6459275967 9858894897 15071643923 23004088093 45214931769 62439667681 69012264279 187319003043 437077673767 1311233021301