Search a number
-
+
201122112102021 = 3211191675991068877
BaseRepresentation
bin101101101110101101100100…
…000011000101111010000101
3222101010002022210111222211200
4231232231210003011322011
5202330141041144231041
61551430120042053113
760235410266646015
oct5556554403057205
9871102283458750
10201122112102021
11590a1455047920
121a6829904aa199
13882b9701a9196
14379450dacdc45
15183b9aae141b6
hexb6eb640c5e85

201122112102021 has 96 divisors (see below), whose sum is σ = 336157855488000. Its totient is φ = 114593597389440.

The previous prime is 201122112101927. The next prime is 201122112102083. The reversal of 201122112102021 is 120201211221102.

201122112102021 is a `hidden beast` number, since 20 + 11 + 221 + 1 + 210 + 202 + 1 = 666.

201122112102021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201122112102021 - 213 = 201122112093829 is a prime.

It is a super-2 number, since 2×2011221121020212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201122112101985 and 201122112102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122112102221) 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, 187627635 + ... + 188696511.

It is an arithmetic number, because the mean of its divisors is an integer number (3501644328000).

Almost surely, 2201122112102021 is an apocalyptic number.

It is an amenable number.

201122112102021 is a deficient number, since it is larger than the sum of its proper divisors (135035743385979).

201122112102021 is a wasteful number, since it uses less digits than its factorization.

201122112102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069679 (or 1069676 counting only the distinct ones).

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

Adding to 201122112102021 its reverse (120201211221102), we get a palindrome (321323323323123).

The spelling of 201122112102021 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, twenty-one".

Divisors: 1 3 9 11 19 33 57 99 167 171 209 501 599 627 1503 1797 1837 1881 3173 5391 5511 6589 9519 11381 16533 19767 28557 34143 34903 59301 100033 102429 104709 125191 300099 314127 375573 900297 1068877 1100363 1126719 1900627 3206631 3301089 5701881 9619893 9903267 11757647 17105643 20308663 20906897 35272941 60925989 62720691 105818823 178502459 182777967 188162073 223395293 535507377 640257323 670185879 1606522131 1920771969 1963527049 2010557637 3391546721 5762315907 5890581147 7042830553 10174640163 12164889137 17671743441 21128491659 30523920489 36494667411 37307013931 63385474977 106922972941 109484002233 111921041793 133813780507 320768918823 335763125379 401441341521 962306756469 1176152702351 1204324024563 2031536485879 3528458107053 6094609457637 10585374321159 18283828372911 22346901344669 67040704034007 201122112102021