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13323431121 = 371131337991
BaseRepresentation
bin11000110100010001…
…10110110011010001
31021101112101102112220
430122020312303101
5204241244243441
610042023211253
7651111203340
oct143210666321
937345342486
1013323431121
115717803000
1226b9ba6b29
1313443b4870
149056bbb57
1552ea3d466
hex31a236cd1

13323431121 has 128 divisors (see below), whose sum is σ = 24723750912. Its totient is φ = 6209913600.

The previous prime is 13323431113. The next prime is 13323431159. The reversal of 13323431121 is 12113432331.

It is not a de Polignac number, because 13323431121 - 23 = 13323431113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13323431091 and 13323431100.

It is not an unprimeable number, because it can be changed into a prime (13323430121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13443936 + ... + 13444926.

It is an arithmetic number, because the mean of its divisors is an integer number (193154304).

Almost surely, 213323431121 is an apocalyptic number.

13323431121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13323431121 is a deficient number, since it is larger than the sum of its proper divisors (11400319791).

13323431121 is a wasteful number, since it uses less digits than its factorization.

13323431121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1062 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 13323431121 its reverse (12113432331), we get a palindrome (25436863452).

It can be divided in two parts, 13323 and 431121, that added together give a palindrome (444444).

The spelling of 13323431121 in words is "thirteen billion, three hundred twenty-three million, four hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 121 143 231 259 273 363 407 429 481 777 847 991 1001 1221 1331 1443 1573 2541 2849 2973 3003 3367 3993 4477 4719 5291 6937 8547 9317 10101 10901 11011 12883 13431 15873 17303 20811 27951 31339 32703 33033 36667 37037 38649 49247 51909 58201 76307 90181 94017 110001 111111 119911 121121 141713 147741 174603 228921 256669 270543 344729 359733 363363 403337 407407 425139 476671 640211 770007 839377 991991 1034187 1210011 1222221 1319021 1430013 1558843 1920633 2518131 2823359 2975973 3336697 3957063 4436707 4481477 4676529 5243381 8470077 9233147 10010091 10911901 13310121 13444431 15730143 17147273 27699441 31056949 32735703 36703667 48803777 51441819 57677191 93170847 110111001 120030911 146411331 173031573 341626439 360092733 403740337 634449101 1024879317 1211221011 1903347303 4441143707 13323431121