Search a number
-
+
200031323311302 = 237531033172752177
BaseRepresentation
bin101101011110110101101011…
…111110000100110011000110
3222020020210210211222010210020
4231132311223332010303012
5202204303122231430202
61545233042112440010
760063533444134020
oct5536655376046306
9866223724863706
10200031323311302
115881089822678a
121a5274b1549006
13877cb46861602
1437577d3adb010
15181d418e605bc
hexb5ed6bf84cc6

200031323311302 has 128 divisors (see below), whose sum is σ = 471847839750144. Its totient is φ = 55353877383168.

The previous prime is 200031323311273. The next prime is 200031323311307. The reversal of 200031323311302 is 203113323130002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200031323311307) 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, 71305038 + ... + 74057214.

It is an arithmetic number, because the mean of its divisors is an integer number (3686311248048).

Almost surely, 2200031323311302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200031323311302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235923919875072).

200031323311302 is an abundant number, since it is smaller than the sum of its proper divisors (271816516438842).

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

200031323311302 is a wasteful number, since it uses less digits than its factorization.

200031323311302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752662.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 200031323311302 its reverse (203113323130002), we get a palindrome (403144646441304).

The spelling of 200031323311302 in words is "two hundred trillion, thirty-one billion, three hundred twenty-three million, three hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 42 53 103 106 159 206 309 317 318 371 618 634 721 742 951 1113 1442 1902 2163 2219 2226 4326 4438 5459 6657 10918 13314 16377 16801 32651 32754 33602 38213 50403 65302 76426 97953 100806 114639 117607 195906 228557 229278 235214 352821 457114 685671 705642 1371342 1730503 2752177 3461006 5191509 5504354 8256531 10383018 12113521 16513062 19265239 24227042 36340563 38530478 57795717 72681126 115591434 145865381 283474231 291730762 437596143 566948462 850422693 872440109 875192286 1021057667 1700845386 1744880218 1984319617 2042115334 2617320327 3063173001 3968639234 5234640654 5952958851 6107080763 6126346002 11905917702 12214161526 15024134243 18321242289 30048268486 36642484578 45072402729 46239325777 89861331227 90144805458 92478651554 105168939701 138717977331 179722662454 210337879402 269583993681 277435954662 315506819103 323675280439 539167987362 629029318589 631013638206 647350560878 971025841317 1258058637178 1887087955767 1942051682634 3774175911534 4762650555031 9525301110062 14287951665093 28575903330186 33338553885217 66677107770434 100015661655651 200031323311302