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1320221103131 = 7389179359673
BaseRepresentation
bin10011001101100011010…
…011110101010000011011
311200012201110220220221202
4103031203103311100123
5133112303100300011
62450300132024415
7164245211135000
oct23154323652033
94605643826852
101320221103131
114699a2438277
12193a4b46210b
139765b537918
1447c82d878a7
152451e2b823b
hex133634f541b

1320221103131 has 64 divisors (see below), whose sum is σ = 1572307200000. Its totient is φ = 1107904444416.

The previous prime is 1320221103073. The next prime is 1320221103137. The reversal of 1320221103131 is 1313011220231.

It is a happy number.

It is not a de Polignac number, because 1320221103131 - 230 = 1319147361307 is a prime.

It is a super-2 number, since 2×13202211031312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1320221103137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1961695211 + ... + 1961695883.

It is an arithmetic number, because the mean of its divisors is an integer number (24567300000).

Almost surely, 21320221103131 is an apocalyptic number.

1320221103131 is a deficient number, since it is larger than the sum of its proper divisors (252086096869).

1320221103131 is an equidigital number, since it uses as much as digits as its factorization.

1320221103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1320221103131 its reverse (1313011220231), we get a palindrome (2633232323362).

The spelling of 1320221103131 in words is "one trillion, three hundred twenty billion, two hundred twenty-one million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 7 49 89 179 343 359 623 673 1253 2513 4361 4711 8771 15931 17591 30527 31951 32977 59897 61397 64261 111517 120467 123137 223657 230839 241607 419279 449827 780619 843269 1565599 1691249 2934953 3148789 5464333 5719229 5902883 10721563 10959193 11838743 20544671 21503023 22041523 40034603 41320181 43247653 75050941 82871201 150521161 280242221 302733571 525356587 1053648127 1961695547 2119134997 3677496109 3849041117 7375536889 14833944979 26943287819 188603014733 1320221103131