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13241100 = 223521923101
BaseRepresentation
bin110010100000…
…101100001100
3220220201101010
4302200230030
511342203400
61151445220
7220355535
oct62405414
926821333
1013241100
117524264
124526810
132987b92
141a8968c
151268450
hexca0b0c

13241100 has 144 divisors (see below), whose sum is σ = 42497280. Its totient is φ = 3168000.

The previous prime is 13241099. The next prime is 13241101. The reversal of 13241100 is 114231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13241099) and next prime (13241101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13241101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131050 + ... + 131150.

It is an arithmetic number, because the mean of its divisors is an integer number (295120).

Almost surely, 213241100 is an apocalyptic number.

13241100 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 13241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

13241100 is an abundant number, since it is smaller than the sum of its proper divisors (29256180).

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

13241100 is a wasteful number, since it uses less digits than its factorization.

13241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13241100 is about 3638.8322302629. The cubic root of 13241100 is about 236.5781811200.

Adding to 13241100 its reverse (114231), we get a palindrome (13355331).

The spelling of 13241100 in words is "thirteen million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 25 30 38 46 50 57 60 69 75 76 92 95 100 101 114 115 138 150 190 202 228 230 276 285 300 303 345 380 404 437 460 475 505 570 575 606 690 874 950 1010 1140 1150 1212 1311 1380 1425 1515 1725 1748 1900 1919 2020 2185 2300 2323 2525 2622 2850 3030 3450 3838 4370 4646 5050 5244 5700 5757 6060 6555 6900 6969 7575 7676 8740 9292 9595 10100 10925 11514 11615 13110 13938 15150 19190 21850 23028 23230 26220 27876 28785 30300 32775 34845 38380 43700 44137 46460 47975 57570 58075 65550 69690 88274 95950 115140 116150 131100 132411 139380 143925 174225 176548 191900 220685 232300 264822 287850 348450 441370 529644 575700 662055 696900 882740 1103425 1324110 2206850 2648220 3310275 4413700 6620550 13241100