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13220133102 = 23211389171641
BaseRepresentation
bin11000100111111101…
…10011100011101110
31021010100000100022100
430103332303203232
5204033323224402
610023453155530
7645415164051
oct142376634356
937110010270
1013220133102
115674469740
12268b48bba6
131328b87b87
148d5aaca98
1552593671c
hex313fb38ee

13220133102 has 48 divisors (see below), whose sum is σ = 31328097840. Its totient is φ = 3995779200.

The previous prime is 13220133083. The next prime is 13220133119. The reversal of 13220133102 is 20133102231.

13220133102 is a `hidden beast` number, since 132 + 201 + 331 + 0 + 2 = 666.

It is a super-2 number, since 2×132201331022 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8799 + ... + 162842.

It is an arithmetic number, because the mean of its divisors is an integer number (652668705).

Almost surely, 213220133102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220133102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664048920).

13220133102 is an abundant number, since it is smaller than the sum of its proper divisors (18107964738).

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

13220133102 is a wasteful number, since it uses less digits than its factorization.

13220133102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172049 (or 172046 counting only the distinct ones).

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

Adding to 13220133102 its reverse (20133102231), we get a palindrome (33353235333).

The spelling of 13220133102 in words is "thirteen billion, two hundred twenty million, one hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 389 778 1167 2334 3501 4279 7002 8558 12837 25674 38511 77022 171641 343282 514923 1029846 1544769 1888051 3089538 3776102 5664153 11328306 16992459 33984918 66768349 133536698 200305047 400610094 600915141 734451839 1201830282 1468903678 2203355517 4406711034 6610066551 13220133102