Search a number
-
+
221231001300213 = 34161599109145119
BaseRepresentation
bin110010010011010101011011…
…001111101110110011110101
31002000022110212212012220020210
4302103111123033232303311
5212444122042313101323
62102304041405420033
764412261306626062
oct6223253317566365
91060273785186223
10221231001300213
11645445a4832143
122099007286a619
139659cbc7c6628
143c8b8cd7bdc69
151a89ad55c6293
hexc9355b3eecf5

221231001300213 has 64 divisors (see below), whose sum is σ = 307924291584000. Its totient is φ = 141162310848000.

The previous prime is 221231001300079. The next prime is 221231001300251. The reversal of 221231001300213 is 312003100132122.

It is not a de Polignac number, because 221231001300213 - 232 = 221226706332917 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221231001300213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221231001300263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4903255468 + ... + 4903300586.

It is an arithmetic number, because the mean of its divisors is an integer number (4811317056000).

Almost surely, 2221231001300213 is an apocalyptic number.

It is an amenable number.

221231001300213 is a deficient number, since it is larger than the sum of its proper divisors (86693290283787).

221231001300213 is a wasteful number, since it uses less digits than its factorization.

221231001300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46914.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221231001300213 its reverse (312003100132122), we get a palindrome (533234101432335).

The spelling of 221231001300213 in words is "two hundred twenty-one trillion, two hundred thirty-one billion, one million, three hundred thousand, two hundred thirteen".

Divisors: 1 3 41 61 123 183 599 1091 1797 2501 3273 7503 24559 36539 44731 45119 66551 73677 109617 134193 135357 199653 653509 1498099 1849879 1960527 2728591 2752259 4494297 5549637 8185773 8256777 26793869 27026281 39864049 49224829 80381607 81078843 112842619 119592147 147674487 338527857 1108077521 1634426009 1648603141 2018217989 3002714569 3324232563 4903278027 4945809423 6054653967 9008143707 29485672571 67592728781 88457017713 123111297329 202778186343 369333891987 1208912575411 1798626026831 3626737726233 5395878080493 73743667100071 221231001300213