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21311330202 = 2341923461653
BaseRepresentation
bin10011110110010000…
…010001011110011010
32001000020000202010000
4103312100101132122
5322121200031302
613442411433430
71353054214011
oct236620213632
961006022100
1021311330202
119046765898
124169155876
13201827ba76
141062515a78
1584ae4831c
hex4f641179a

21311330202 has 160 divisors (see below), whose sum is σ = 52646267520. Its totient is φ = 6413489280.

The previous prime is 21311330197. The next prime is 21311330213. The reversal of 21311330202 is 20203311312.

21311330202 is a `hidden beast` number, since 2 + 1 + 311 + 330 + 20 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 79 ways as a sum of consecutive naturals, for example, 32635708 + ... + 32636360.

It is an arithmetic number, because the mean of its divisors is an integer number (329039172).

Almost surely, 221311330202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311330202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26323133760).

21311330202 is an abundant number, since it is smaller than the sum of its proper divisors (31334937318).

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

21311330202 is a wasteful number, since it uses less digits than its factorization.

21311330202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21311330202 its reverse (20203311312), we get a palindrome (41514641514).

The spelling of 21311330202 in words is "twenty-one billion, three hundred eleven million, three hundred thirty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 114 138 162 171 207 342 414 437 461 513 621 653 874 922 1026 1242 1306 1311 1383 1539 1863 1959 2622 2766 3078 3726 3918 3933 4149 5877 7866 8298 8759 10603 11754 11799 12407 12447 15019 17518 17631 21206 23598 24814 24894 26277 30038 31809 35262 35397 37221 37341 45057 52554 52893 63618 70794 74442 74682 78831 90114 95427 105786 111663 135171 157662 190854 201457 223326 236493 270342 285361 286281 301033 334989 402914 405513 472986 570722 572562 602066 604371 669978 709479 811026 856083 858843 903099 1004967 1208742 1216539 1418958 1712166 1717686 1806198 1813113 2009934 2433078 2568249 2709297 3626226 5136498 5418594 5439339 5719627 6923759 7704747 8127891 10878678 11439254 13847518 15409494 16255782 16318017 17158881 20771277 23114241 24383673 32636034 34317762 41542554 46228482 48767346 51476643 62313831 102953286 124627662 131551421 154429929 186941493 263102842 308859858 373882986 394654263 463289787 560824479 789308526 926579574 1121648958 1183962789 2367925578 3551888367 7103776734 10655665101 21311330202