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13220101332 = 22323726633727
BaseRepresentation
bin11000100111111101…
…01011110011010100
31021010022221201201200
430103332223303110
5204033321220312
610023452352500
7645415002324
oct142376536324
937108851650
1013220101332
115674447889
12268b475730
131328b76589
148d5aa1284
1552592c0dc
hex313fabcd4

13220101332 has 72 divisors (see below), whose sum is σ = 34342753536. Its totient is φ = 4284840384.

The previous prime is 13220101313. The next prime is 13220101339. The reversal of 13220101332 is 23310102231.

13220101332 is a `hidden beast` number, since 1 + 322 + 0 + 10 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220101339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3545253 + ... + 3548979.

It is an arithmetic number, because the mean of its divisors is an integer number (476982688).

Almost surely, 213220101332 is an apocalyptic number.

13220101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171376768).

13220101332 is an abundant number, since it is smaller than the sum of its proper divisors (21122652204).

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

13220101332 is a wasteful number, since it uses less digits than its factorization.

13220101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6437 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13220101332 its reverse (23310102231), we get a palindrome (36530203563).

The spelling of 13220101332 in words is "thirteen billion, two hundred twenty million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2663 3727 5326 7454 7989 10652 11181 14908 15978 22362 23967 31956 33543 44724 47934 67086 95868 98531 134172 137899 197062 275798 295593 394124 413697 551596 591186 827394 886779 1182372 1241091 1654788 1773558 2482182 3547116 4964364 9925001 19850002 29775003 39700004 59550006 89325009 119100012 178650018 357300036 367225037 734450074 1101675111 1468900148 2203350222 3305025333 4406700444 6610050666 13220101332