Search a number
-
+
10133211300303 = 3713172394930921
BaseRepresentation
bin1001001101110101001001…
…1101011100000111001111
31022212201120220210110022110
42103131102131130013033
52312010304043102203
633315044421315103
72064046264615230
oct223352235340717
938781526713273
1010133211300303
11325751a674643
121177a73b65a93
13586733427240
14270642cc5087
151288c4b87d03
hex9375275c1cf

10133211300303 has 64 divisors (see below), whose sum is σ = 18372550920192. Its totient is φ = 4811858472960.

The previous prime is 10133211300229. The next prime is 10133211300313. The reversal of 10133211300303 is 30300311233101.

It is not a de Polignac number, because 10133211300303 - 212 = 10133211296207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10133211300303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133211300313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47358718 + ... + 47572203.

It is an arithmetic number, because the mean of its divisors is an integer number (287071108128).

Almost surely, 210133211300303 is an apocalyptic number.

10133211300303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10133211300303 is a deficient number, since it is larger than the sum of its proper divisors (8239339619889).

10133211300303 is a wasteful number, since it uses less digits than its factorization.

10133211300303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94930984.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10133211300303 its reverse (30300311233101), we get a palindrome (40433522533404).

The spelling of 10133211300303 in words is "ten trillion, one hundred thirty-three billion, two hundred eleven million, three hundred thousand, three hundred three".

Divisors: 1 3 7 13 17 21 23 39 51 69 91 119 161 221 273 299 357 391 483 663 897 1173 1547 2093 2737 4641 5083 6279 8211 15249 35581 106743 94930921 284792763 664516447 1234101973 1613825657 1993549341 2183411183 3702305919 4841476971 6550233549 8638713811 11296779599 15283878281 20979733541 25916141433 28384345379 33890338797 37117990111 45851634843 62939200623 85153036137 111353970333 146858134787 198690417653 259825930777 440574404361 482533871443 596071252959 779477792331 1447601614329 3377737100101 10133211300303