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13231134113022 = 2337151335969011
BaseRepresentation
bin1100000010001001110100…
…0011000111110011111110
31201211212212111010000202000
43000202131003013303332
53213234330313104042
644050144334443130
72533626560216250
oct300423503076376
951755774100660
1013231134113022
1142413242a9911
1215983480634a6
1374c8c9305477
1433a56700dcd0
1517e28b0a874c
hexc089d0c7cfe

13231134113022 has 128 divisors (see below), whose sum is σ = 33835976294400. Its totient is φ = 3754116396000.

The previous prime is 13231134112993. The next prime is 13231134113023. The reversal of 13231134113022 is 22031143113231.

13231134113022 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 11 + 341 + 1 + 302 + 2 = 666.

13231134113022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13231134113023) 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, 191690497 + ... + 191759507.

It is an arithmetic number, because the mean of its divisors is an integer number (264343564800).

Almost surely, 213231134113022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13231134113022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917988147200).

13231134113022 is an abundant number, since it is smaller than the sum of its proper divisors (20604842181378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13231134113022 is a wasteful number, since it uses less digits than its factorization.

13231134113022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72539 (or 72533 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13231134113022 its reverse (22031143113231), we get a palindrome (35262277226253).

The spelling of 13231134113022 in words is "thirteen trillion, two hundred thirty-one billion, one hundred thirty-four million, one hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 151 189 302 378 453 906 1057 1359 2114 2718 3171 3359 4077 6342 6718 8154 9513 10077 19026 20154 23513 28539 30231 47026 57078 60462 69011 70539 90693 138022 141078 181386 207033 211617 414066 423234 483077 507209 621099 634851 966154 1014418 1242198 1269702 1449231 1521627 1863297 2898462 3043254 3550463 3726594 4347693 4564881 7100926 8695386 9129762 10420661 10651389 13043079 13694643 20841322 21302778 26086158 27389286 31261983 31954167 62523966 63908334 72944627 93785949 95862501 145889254 187571898 191725002 218833881 231807949 281357847 437667762 463615898 562715694 656501643 695423847 1313003286 1390847694 1622655643 1969504929 2086271541 3245311286 3939009858 4172543082 4867966929 6258814623 9735933858 12517629246 14603900787 29207801574 35003000299 43811702361 70006000598 87623404722 105009000897 210018001794 245021002093 315027002691 490042004186 630054005382 735063006279 945081008073 1470126012558 1890162016146 2205189018837 4410378037674 6615567056511 13231134113022