Search a number
-
+
13024221100 = 22521133135771
BaseRepresentation
bin11000010000100110…
…11101011110101100
31020121200100222120021
430020103131132230
5203133200033400
65552214131524
7640516024042
oct141023353654
936550328507
1013024221100
1155839190a0
122635950ba4
1312c7402507
148b7a72392
1551363871a
hex3084dd7ac

13024221100 has 72 divisors (see below), whose sum is σ = 30925895616. Its totient is φ = 4721640000.

The previous prime is 13024221097. The next prime is 13024221121. The reversal of 13024221100 is 112242031.

13024221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346215 + ... + 381985.

It is an arithmetic number, because the mean of its divisors is an integer number (429526328).

Almost surely, 213024221100 is an apocalyptic number.

13024221100 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 13024221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15462947808).

13024221100 is an abundant number, since it is smaller than the sum of its proper divisors (17901674516).

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

13024221100 is a wasteful number, since it uses less digits than its factorization.

13024221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36127 (or 36120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13024221100 its reverse (112242031), we get a palindrome (13136463131).

The spelling of 13024221100 in words is "thirteen billion, twenty-four million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 331 550 662 1100 1324 1655 3310 3641 6620 7282 8275 14564 16550 18205 33100 35771 36410 71542 72820 91025 143084 178855 182050 357710 364100 393481 715420 786962 894275 1573924 1788550 1967405 3577100 3934810 7869620 9837025 11840201 19674050 23680402 39348100 47360804 59201005 118402010 130242211 236804020 260484422 296005025 520968844 592010050 651211055 1184020100 1302422110 2604844220 3256055275 6512110550 13024221100