Search a number
-
+
212012111101122 = 232438910512928377
BaseRepresentation
bin110000001101001011101010…
…100100011111110011000010
31000210200011022112212211210200
4300031023222210133303002
5210242101300420213442
62030525004054310030
762441240520102663
oct6015135244376302
91023604275784720
10212012111101122
116160a916632732
121b94144b058316
13913b86bb42897
143a4d625ca136a
151979dc537934c
hexc0d2ea91fcc2

212012111101122 has 96 divisors (see below), whose sum is σ = 475776150632640. Its totient is φ = 68186649484800.

The previous prime is 212012111101111. The next prime is 212012111101139. The reversal of 212012111101122 is 221101111210212.

It is a happy number.

212012111101122 is a `hidden beast` number, since 21 + 201 + 211 + 110 + 1 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212012111101095 and 212012111101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70934998 + ... + 73863374.

It is an arithmetic number, because the mean of its divisors is an integer number (4956001569090).

Almost surely, 2212012111101122 is an apocalyptic number.

212012111101122 is an abundant number, since it is smaller than the sum of its proper divisors (263764039531518).

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

212012111101122 is a wasteful number, since it uses less digits than its factorization.

212012111101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929568 (or 2929565 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212012111101122 its reverse (221101111210212), we get a palindrome (433113222311334).

The spelling of 212012111101122 in words is "two hundred twelve trillion, twelve billion, one hundred eleven million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 43 86 89 129 178 258 267 387 534 774 801 1051 1602 2102 3153 3827 6306 7654 9459 11481 18918 22962 34443 45193 68886 90386 93539 135579 187078 271158 280617 406737 561234 813474 841851 1683702 2928377 4022177 5856754 8044354 8785131 12066531 17570262 24133062 26355393 36199593 52710786 72399186 125920211 251840422 260625553 377760633 521251106 755521266 781876659 1133281899 1563753318 2266563798 2345629977 3077724227 4691259954 6155448454 9233172681 11206898779 18466345362 22413797558 27699518043 33620696337 55399036086 67241392674 100862089011 132342141761 201724178022 264684283522 273917456203 397026425283 547834912406 794052850566 821752368609 1191079275849 1643504737218 2382158551698 2465257105827 4930514211654 11778450616729 23556901233458 35335351850187 70670703700374 106006055550561 212012111101122