Search a number
-
+
202311143034 = 237111353635563
BaseRepresentation
bin1011110001101010101…
…1110000111001111010
3201100012102002220201120
42330122223300321322
511303313123034114
6232535045530110
720421313225230
oct2743253607172
9640172086646
10202311143034
1178888403170
1233261713936
1316102096230
149b13010950
1553e12e75a9
hex2f1aaf0e7a

202311143034 has 128 divisors (see below), whose sum is σ = 553520314368. Its totient is φ = 47590882560.

The previous prime is 202311143003. The next prime is 202311143053. The reversal of 202311143034 is 430341113202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202311142995 and 202311143013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537 + ... + 636099.

It is an arithmetic number, because the mean of its divisors is an integer number (4324377456).

Almost surely, 2202311143034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202311143034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276760157184).

202311143034 is an abundant number, since it is smaller than the sum of its proper divisors (351209171334).

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

202311143034 is a wasteful number, since it uses less digits than its factorization.

202311143034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635652.

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

Adding to 202311143034 its reverse (430341113202), we get a palindrome (632652256236).

The spelling of 202311143034 in words is "two hundred two billion, three hundred eleven million, one hundred forty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 53 66 77 78 91 106 143 154 159 182 231 273 286 318 371 429 462 546 583 689 742 858 1001 1113 1166 1378 1749 2002 2067 2226 3003 3498 4081 4134 4823 6006 7579 8162 9646 12243 14469 15158 22737 24486 28938 45474 53053 106106 159159 318318 635563 1271126 1906689 3813378 4448941 6991193 8262319 8897882 13346823 13982386 16524638 20973579 24786957 26693646 33684839 41947158 48938351 49573914 57836233 67369678 90885509 97876702 101054517 115672466 146815053 173508699 181771018 202109034 235793873 272656527 293630106 347017398 370533229 437902907 471587746 545313054 636198563 707381619 741066458 875805814 1111599687 1272397126 1313708721 1414763238 1908595689 2223199374 2593732603 2627417442 3065320349 3817191378 4816931977 5187465206 6130640698 7781197809 9195961047 9633863954 14450795931 15562395618 18391922094 28901591862 33718523839 67437047678 101155571517 202311143034