Search a number
-
+
13241125350 = 2335213771593
BaseRepresentation
bin11000101010011101…
…11000100111100110
31021011210111212021000
430111032320213212
5204104212002400
610025523134130
7646061464665
oct142516704746
937153455230
1013241125350
1156852a7502
122696514346
131330327b1b
148d87b4ddc
155276d1600
hex3153b89e6

13241125350 has 96 divisors (see below), whose sum is σ = 36753495840. Its totient is φ = 3505144320.

The previous prime is 13241125349. The next prime is 13241125421. The reversal of 13241125350 is 5352114231.

13241125350 is a `hidden beast` number, since 13 + 2 + 4 + 112 + 535 + 0 = 666.

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

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, 149154 + ... + 220746.

It is an arithmetic number, because the mean of its divisors is an integer number (382848915).

Almost surely, 213241125350 is an apocalyptic number.

13241125350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13241125350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376747920).

13241125350 is an abundant number, since it is smaller than the sum of its proper divisors (23512370490).

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

13241125350 is a wasteful number, since it uses less digits than its factorization.

13241125350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71751 (or 71740 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13241125350 its reverse (5352114231), we get a palindrome (18593239581).

The spelling of 13241125350 in words is "thirteen billion, two hundred forty-one million, one hundred twenty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 137 150 225 270 274 411 450 675 685 822 1233 1350 1370 2055 2466 3425 3699 4110 6165 6850 7398 10275 12330 18495 20550 30825 36990 61650 71593 92475 143186 184950 214779 357965 429558 644337 715930 1073895 1288674 1789825 1933011 2147790 3221685 3579650 3866022 5369475 6443370 9665055 9808241 10738950 16108425 19330110 19616482 29424723 32216850 48325275 49041205 58849446 88274169 96650550 98082410 147123615 176548338 245206025 264822507 294247230 441370845 490412050 529645014 735618075 882741690 1324112535 1471236150 2206854225 2648225070 4413708450 6620562675 13241125350