Search a number
-
+
13244211234 = 2335326917203
BaseRepresentation
bin11000101010110101…
…01010000000100010
31021012000022122022000
430111122222000202
5204111004224414
610030113224430
7646126636512
oct142532520042
937160278260
1013244211234
115687014a21
122697562116
131330b685a7
148d8d79842
15527ae0b09
hex3156aa022

13244211234 has 64 divisors (see below), whose sum is σ = 30100118400. Its totient is φ = 4315087296.

The previous prime is 13244211221. The next prime is 13244211241. The reversal of 13244211234 is 43211244231.

13244211234 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 421 + 1 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13244211198 and 13244211207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761277 + ... + 778479.

It is an arithmetic number, because the mean of its divisors is an integer number (470314350).

Almost surely, 213244211234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13244211234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050059200).

13244211234 is an abundant number, since it is smaller than the sum of its proper divisors (16855907166).

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

13244211234 is a wasteful number, since it uses less digits than its factorization.

13244211234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536 (or 17530 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 13244211234 its reverse (43211244231), we get a palindrome (56455455465).

The spelling of 13244211234 in words is "thirteen billion, two hundred forty-four million, two hundred eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 269 318 477 538 807 954 1431 1614 2421 2862 4842 7263 14257 14526 17203 28514 34406 42771 51609 85542 103218 128313 154827 256626 309654 384939 464481 769878 911759 928962 1823518 2735277 4627607 5470554 8205831 9255214 13882821 16411662 24617493 27765642 41648463 49234986 83296926 124945389 245263171 249890778 490526342 735789513 1471579026 2207368539 4414737078 6622105617 13244211234