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20200240242 = 2347131780603
BaseRepresentation
bin10010110100000001…
…110011010001110010
31221010210022112020000
4102310001303101302
5312332230141432
613140241130430
71313403131460
oct226401632162
957123275200
1020200240242
118626566526
123ab9029a16
131b9c0173a0
14d98b2b830
157d362157c
hex4b4073472

20200240242 has 160 divisors (see below), whose sum is σ = 58986652032. Its totient is φ = 5014089216.

The previous prime is 20200240213. The next prime is 20200240271. The reversal of 20200240242 is 24204200202.

20200240242 is a `hidden beast` number, since 20 + 200 + 2 + 402 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (20200240213) and next prime (20200240271).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 210313 + ... + 290915.

Almost surely, 220200240242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20200240242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29493326016).

20200240242 is an abundant number, since it is smaller than the sum of its proper divisors (38786411790).

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

20200240242 is a wasteful number, since it uses less digits than its factorization.

20200240242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80654 (or 80645 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20200240242 its reverse (24204200202), we get a palindrome (44404440444).

The spelling of 20200240242 in words is "twenty billion, two hundred million, two hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 39 42 51 54 63 78 81 91 102 117 119 126 153 162 182 189 221 234 238 273 306 351 357 378 442 459 546 567 663 702 714 819 918 1053 1071 1134 1326 1377 1547 1638 1989 2106 2142 2457 2754 3094 3213 3978 4641 4914 5967 6426 7371 9282 9639 11934 13923 14742 17901 19278 27846 35802 41769 80603 83538 125307 161206 241809 250614 483618 564221 725427 1047839 1128442 1370251 1450854 1692663 2095678 2176281 2740502 3143517 3385326 4110753 4352562 5077989 6287034 6528843 7334873 8221506 9430551 9591757 10155978 12332259 13057686 14669746 15233967 17813263 18861102 19183514 22004619 24664518 28291653 28775271 30467934 35626526 36996777 44009238 45701901 53439789 56583306 57550542 66013857 73993554 84874959 86325813 91403802 106879578 110990331 124692841 132027714 160319367 169749918 172651626 198041571 221980662 249385682 258977439 320638734 374078523 396083142 480958101 517954878 594124713 748157046 776932317 961916202 1122235569 1188249426 1442874303 1553864634 2244471138 2885748606 3366706707 6733413414 10100120121 20200240242