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201413133204 = 2232341113157513
BaseRepresentation
bin1011101110010100101…
…0001000001110010100
3201020212211100021211020
42323211022020032110
511244443230230304
6232310010241140
720360130245613
oct2734512101624
9636784307736
10201413133204
1178467510088
1233050a261b0
1315cbb01867a
149a69a5187a
15538c5605d9
hex2ee5288394

201413133204 has 96 divisors (see below), whose sum is σ = 506806965504. Its totient is φ = 62097530880.

The previous prime is 201413133169. The next prime is 201413133247. The reversal of 201413133204 is 402331314102.

It is a happy number.

201413133204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1199952 + ... + 1357464.

It is an arithmetic number, because the mean of its divisors is an integer number (5279239224).

Almost surely, 2201413133204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201413133204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253403482752).

201413133204 is an abundant number, since it is smaller than the sum of its proper divisors (305393832300).

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

201413133204 is a wasteful number, since it uses less digits than its factorization.

201413133204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157697 (or 157695 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 201413133204 its reverse (402331314102), we get a palindrome (603744447306).

The spelling of 201413133204 in words is "two hundred one billion, four hundred thirteen million, one hundred thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 113 123 138 164 226 246 276 339 452 492 678 943 1356 1886 2599 2829 3772 4633 5198 5658 7797 9266 10396 11316 13899 15594 18532 27798 31188 55596 106559 157513 213118 315026 319677 426236 472539 630052 639354 945078 1278708 1890156 3622799 6458033 7245598 10868397 12916066 14491196 17798969 19374099 21736794 25832132 35597938 38748198 43473588 53396907 71195876 77496396 106793814 148534759 213587628 297069518 409376287 445604277 594139036 729757729 818752574 891208554 1228128861 1459515458 1637505148 1782417108 2189273187 2456257722 2919030916 4378546374 4912515444 8757092748 16784427767 33568855534 50353283301 67137711068 100706566602 201413133204