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13231031220 = 223251118136919
BaseRepresentation
bin11000101001010000…
…11000001110110100
31021011002112000201100
430110220120032310
5204044120444340
610024522530100
7645606624021
oct142450301664
937132460640
1013231031220
11567a632650
122693066930
13132b202474
148d7308548
1552688a830
hex314a183b4

13231031220 has 144 divisors (see below), whose sum is σ = 44025770880. Its totient is φ = 3189715200.

The previous prime is 13231031207. The next prime is 13231031249. The reversal of 13231031220 is 2213013231.

13231031220 is a `hidden beast` number, since 1 + 323 + 10 + 312 + 20 = 666.

It is a super-2 number, since 2×132310312202 (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 junction number, because it is equal to n+sod(n) for n = 13231031193 and 13231031202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339921 + ... + 376839.

It is an arithmetic number, because the mean of its divisors is an integer number (305734520).

Almost surely, 213231031220 is an apocalyptic number.

13231031220 is a gapful number since it is divisible by the number (10) 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 13231031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22012885440).

13231031220 is an abundant number, since it is smaller than the sum of its proper divisors (30794739660).

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

13231031220 is a wasteful number, since it uses less digits than its factorization.

13231031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37126 (or 37121 counting only the distinct ones).

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

Adding to 13231031220 its reverse (2213013231), we get a palindrome (15444044451).

The spelling of 13231031220 in words is "thirteen billion, two hundred thirty-one million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 181 198 220 330 362 396 495 543 660 724 905 990 1086 1629 1810 1980 1991 2172 2715 3258 3620 3982 5430 5973 6516 7964 8145 9955 10860 11946 16290 17919 19910 23892 29865 32580 35838 36919 39820 59730 71676 73838 89595 110757 119460 147676 179190 184595 221514 332271 358380 369190 406109 443028 553785 664542 738380 812218 1107570 1218327 1329084 1624436 1661355 2030545 2215140 2436654 3322710 3654981 4061090 4873308 6091635 6645420 6682339 7309962 8122180 12183270 13364678 14619924 18274905 20047017 24366540 26729356 33411695 36549810 40094034 60141051 66823390 73099620 73505729 80188068 100235085 120282102 133646780 147011458 200470170 220517187 240564204 294022916 300705255 367528645 400940340 441034374 601410510 661551561 735057290 882068748 1102585935 1202821020 1323103122 1470114580 2205171870 2646206244 3307757805 4410343740 6615515610 13231031220