Search a number
-
+
201012222220220 = 225349439202732363
BaseRepresentation
bin101101101101000111001110…
…000110011101011110111100
3222100201120200101022121020102
4231231013032012131132330
5202321341012342021340
61551303423504340232
760224440153241615
oct5555071606353674
9870646611277212
10201012222220220
115905989407a194
121a665622614678
1388214a9756398
14378d0873b2c0c
151838bc881e215
hexb6d1ce19d7bc

201012222220220 has 96 divisors (see below), whose sum is σ = 424521953856000. Its totient is φ = 79949938869504.

The previous prime is 201012222220127. The next prime is 201012222220223. The reversal of 201012222220220 is 22022222210102.

It is a super-2 number, since 2×2010122222202202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201012222220192 and 201012222220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012222220223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6211157759 + ... + 6211190121.

It is an arithmetic number, because the mean of its divisors is an integer number (4422103686000).

Almost surely, 2201012222220220 is an apocalyptic number.

201012222220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012222220220 is an abundant number, since it is smaller than the sum of its proper divisors (223509731635780).

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

201012222220220 is a wasteful number, since it uses less digits than its factorization.

201012222220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35187 (or 35185 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 201012222220220 its reverse (22022222210102), we get a palindrome (223034444430322).

The spelling of 201012222220220 in words is "two hundred one trillion, twelve billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 349 439 698 878 1396 1745 1756 2027 2195 3490 4054 4390 6980 8108 8780 10135 20270 32363 40540 64726 129452 153211 161815 306422 323630 612844 647260 707423 766055 889853 1414846 1532110 1779706 2829692 3064220 3537115 3559412 4449265 7074230 8898530 11294687 14148460 14207357 17797060 22589374 28414714 45178748 56473435 56829428 65599801 71036785 112946870 131199602 142073570 225893740 262399204 284147140 310558697 327999005 621117394 655998010 1242234788 1311996020 1552793485 3105586970 4958367593 6211173940 9916735186 19833470372 22894330549 24791837965 28798312639 45788661098 49583675930 57596625278 91577322196 99167351860 114471652745 115193250556 143991563195 228943305490 287983126390 457886610980 575966252780 10050611111011 20101222222022 40202444444044 50253055555055 100506111110110 201012222220220