Search a number
-
+
133413215250 = 2353797126171
BaseRepresentation
bin111110001000000001…
…1000001110000010010
3110202100210111112201110
41330100003001300102
54141212240342000
6141142244114150
712432050422140
oct1742003016022
9422323445643
10133413215250
1151642311287
1221a33995956
13c772076823
146658916590
15370c82b850
hex1f100c1c12

133413215250 has 128 divisors (see below), whose sum is σ = 380977219584. Its totient is φ = 30461880000.

The previous prime is 133413215237. The next prime is 133413215251. The reversal of 133413215250 is 52512314331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133413215251) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5084665 + ... + 5110835.

It is an arithmetic number, because the mean of its divisors is an integer number (2976384528).

Almost surely, 2133413215250 is an apocalyptic number.

133413215250 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 133413215250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190488609792).

133413215250 is an abundant number, since it is smaller than the sum of its proper divisors (247564004334).

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

133413215250 is a wasteful number, since it uses less digits than its factorization.

133413215250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27169 (or 27159 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 133413215250 its reverse (52512314331), we get a palindrome (185925529581).

The spelling of 133413215250 in words is "one hundred thirty-three billion, four hundred thirteen million, two hundred fifteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 750 875 971 1050 1750 1942 2625 2913 4855 5250 5826 6797 9710 13594 14565 20391 24275 26171 29130 33985 40782 48550 52342 67970 72825 78513 101955 121375 130855 145650 157026 169925 183197 203910 242750 261710 339850 364125 366394 392565 509775 549591 654275 728250 785130 849625 915985 1019550 1099182 1308550 1699250 1831970 1962825 2548875 2747955 3271375 3925650 4579925 5097750 5495910 6542750 9159850 9814125 13739775 19628250 22899625 25412041 27479550 45799250 50824082 68698875 76236123 127060205 137397750 152472246 177884287 254120410 355768574 381180615 533652861 635301025 762361230 889421435 1067305722 1270602050 1778842870 1905903075 2668264305 3176505125 3811806150 4447107175 5336528610 6353010250 8894214350 9529515375 13341321525 19059030750 22235535875 26682643050 44471071750 66706607625 133413215250