Search a number
-
+
13321223124 = 22311337347863
BaseRepresentation
bin11000110100000000…
…11011101111010100
31021101101020020202020
430122000123233110
5204240213114444
610041504013140
7651053346126
oct143200335724
937341206666
1013321223124
115716535110
1226b93011b0
131343ac0861
149052a5216
1552e754119
hex31a01bbd4

13321223124 has 96 divisors (see below), whose sum is σ = 34146717696. Its totient is φ = 4008506880.

The previous prime is 13321223117. The next prime is 13321223143. The reversal of 13321223124 is 42132212331.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13321223094 and 13321223103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15435517 + ... + 15436379.

It is an arithmetic number, because the mean of its divisors is an integer number (355694976).

Almost surely, 213321223124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321223124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17073358848).

13321223124 is an abundant number, since it is smaller than the sum of its proper divisors (20825494572).

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

13321223124 is a wasteful number, since it uses less digits than its factorization.

13321223124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1563 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 13321223124 its reverse (42132212331), we get a palindrome (55453435455).

The spelling of 13321223124 in words is "thirteen billion, three hundred twenty-one million, two hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 347 674 694 863 1011 1041 1348 1388 1726 2022 2082 2589 3452 3707 3817 4044 4164 5178 7414 7634 9493 10356 11121 11451 14828 15268 18986 22242 22902 28479 37972 44484 45804 56958 113916 116939 233878 290831 299461 350817 467756 581662 598922 701634 872493 898383 1163324 1197844 1286329 1403268 1744986 1796766 2572658 3199141 3294071 3489972 3593532 3858987 5145316 6398282 6588142 7717974 9597423 9882213 12796564 13176284 15435948 19194846 19764426 38389692 39528852 100918357 201836714 302755071 403673428 605510142 1110101927 1211020284 2220203854 3330305781 4440407708 6660611562 13321223124