Search a number
-
+
22021022101122 = 23211593918726601
BaseRepresentation
bin1010000000111001010110…
…01100110010111010000010
32212222012002220002202000200
411000130223030302322002
510341243023124213442
6114500152355430030
74431652312314342
oct500345314627202
985865086082020
1022021022101122
117020076986610
1225779a38b5316
13c3975bbca7a5
14561b74a54d22
15282c3d6c934c
hex14072b332e82

22021022101122 has 48 divisors (see below), whose sum is σ = 52058455431840. Its totient is φ = 6671913048000.

The previous prime is 22021022101109. The next prime is 22021022101147. The reversal of 22021022101122 is 22110122012022.

It is a happy number.

22021022101122 is a `hidden beast` number, since 220 + 210 + 2 + 210 + 1 + 1 + 22 = 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 = 22021022101095 and 22021022101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8187379 + ... + 10539222.

It is an arithmetic number, because the mean of its divisors is an integer number (1084551154830).

Almost surely, 222021022101122 is an apocalyptic number.

22021022101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22021022101122 is an abundant number, since it is smaller than the sum of its proper divisors (30037433330718).

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

22021022101122 is a wasteful number, since it uses less digits than its factorization.

22021022101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18732559 (or 18732556 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22021022101122 its reverse (22110122012022), we get a palindrome (44131144113144).

The spelling of 22021022101122 in words is "twenty-two trillion, twenty-one billion, twenty-two million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 5939 11878 17817 35634 53451 65329 106902 130658 195987 391974 587961 1175922 18726601 37453202 56179803 112359606 168539409 205992611 337078818 411985222 617977833 1235955666 1853933499 3707866998 111217283339 222434566678 333651850017 667303700034 1000955550051 1223390116729 2001911100102 2446780233458 3670170350187 7340340700374 11010511050561 22021022101122