Search a number
-
+
202111201212201 = 3217431011022329753
BaseRepresentation
bin101101111101000110101110…
…010110100111011100101001
3222111121122100010011210021100
4231331012232112213130221
5202442342220002242301
61553504334250232013
760400023656450451
oct5575065626473451
9874548303153240
10202111201212201
11594429740687a6
121a802608425609
1388a1009b4a2a8
1437ca33d020d61
15185759983e286
hexb7d1ae5a7729

202111201212201 has 96 divisors (see below), whose sum is σ = 319473548140032. Its totient is φ = 122623177420800.

The previous prime is 202111201212191. The next prime is 202111201212253. The reversal of 202111201212201 is 102212102111202.

202111201212201 is a `hidden beast` number, since 20 + 21 + 11 + 201 + 212 + 201 = 666.

It is not a de Polignac number, because 202111201212201 - 25 = 202111201212169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (202111201212101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6792953941 + ... + 6792983693.

It is an arithmetic number, because the mean of its divisors is an integer number (3327849459792).

Almost surely, 2202111201212201 is an apocalyptic number.

It is an amenable number.

202111201212201 is a deficient number, since it is larger than the sum of its proper divisors (117362346927831).

202111201212201 is a wasteful number, since it uses less digits than its factorization.

202111201212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40143 (or 40140 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202111201212201 its reverse (102212102111202), we get a palindrome (304323303323403).

The spelling of 202111201212201 in words is "two hundred two trillion, one hundred eleven billion, two hundred one million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 17 43 51 101 129 153 303 387 731 909 1717 2193 4343 5151 6579 10223 13029 15453 29753 30669 39087 73831 89259 92007 173791 221493 267777 439589 505801 521373 664479 1032523 1279379 1318767 1517403 1564119 3005053 3097569 3838137 3956301 4552209 7473013 9015159 9292707 11514411 17552891 21749443 22419039 27045477 44398489 51085901 52658673 65248329 67257117 129217279 133195467 153257703 157976019 195744987 304164919 387651837 399586401 459773109 754774313 912494757 1162955511 2196693743 2264322939 2737484271 5170803623 6590081229 6792968817 13079091517 15512410869 19770243687 30720656819 39237274551 46537232607 92161970457 117711823653 222344555789 276485911371 522251165923 667033667367 1320988243217 1566753497769 2001101002101 3962964729651 4700260493307 11888894188953 22456800134689 67370400404067 202111201212201