Search a number
-
+
210122111101122 = 232113762694575163
BaseRepresentation
bin101111110001101011011101…
…110010101010100011000010
31000112222110220012102222012200
4233301223131302222203002
5210020120040420213442
62022520433143134030
762154551536135233
oct5761533562524302
91015873805388180
10210122111101122
1160a51317931a60
121b6970a5a44316
139032578aa840c
1439c5d705d508a
151945b5949434c
hexbf1addcaa8c2

210122111101122 has 96 divisors (see below), whose sum is σ = 510156772931520. Its totient is φ = 61942569298560.

The previous prime is 210122111101087. The next prime is 210122111101163. The reversal of 210122111101122 is 221101111221012.

It is a happy number.

210122111101122 is a `hidden beast` number, since 210 + 1 + 221 + 1 + 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 = 210122111101095 and 210122111101104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43639113 + ... + 48214275.

It is an arithmetic number, because the mean of its divisors is an integer number (5314133051370).

Almost surely, 2210122111101122 is an apocalyptic number.

210122111101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210122111101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255078386465760).

210122111101122 is an abundant number, since it is smaller than the sum of its proper divisors (300034661830398).

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

210122111101122 is a wasteful number, since it uses less digits than its factorization.

210122111101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581488 (or 4581485 counting only the distinct ones).

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

Adding to 210122111101122 its reverse (221101111221012), we get a palindrome (431223222322134).

The spelling of 210122111101122 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred eleven million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 6269 7326 12538 18807 37614 56421 68959 112842 137918 206877 231953 413754 463906 620631 695859 1241262 1391718 2087577 2551483 4175154 4575163 5102966 7654449 9150326 13725489 15308898 22963347 27450978 41176467 45926694 50326793 82352934 100653586 150980379 169281031 301960758 338562062 452941137 507843093 905882274 1015686186 1523529279 1862091341 3047058558 3724182682 5586274023 11172548046 16758822069 28681696847 33517644138 57363393694 86045090541 172090181082 258135271623 315498665317 516270543246 630997330634 946495995951 1061222783339 1892991991902 2122445566678 2839487987853 3183668350017 5678975975706 6367336700034 9551005050051 11673450616729 19102010100102 23346901233458 35020351850187 70040703700374 105061055550561 210122111101122