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211444012122 = 237171813314943
BaseRepresentation
bin1100010011101100001…
…0111001010001011010
3202012202220012201212020
43010323002321101122
511431014131341442
6241045214555310
721163531306560
oct3047302712132
9665686181766
10211444012122
11817446a5962
1234b90208b36
1316c29227b95
14a33bd31a30
155777ebc9ec
hex313b0b945a

211444012122 has 128 divisors (see below), whose sum is σ = 516216250368. Its totient is φ = 56362521600.

The previous prime is 211444012081. The next prime is 211444012133. The reversal of 211444012122 is 221210444112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211444012092 and 211444012101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42773983 + ... + 42778925.

It is an arithmetic number, because the mean of its divisors is an integer number (4032939456).

Almost surely, 2211444012122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211444012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258108125184).

211444012122 is an abundant number, since it is smaller than the sum of its proper divisors (304772238246).

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

211444012122 is a wasteful number, since it uses less digits than its factorization.

211444012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 211444012122 its reverse (221210444112), we get a palindrome (432654456234).

The spelling of 211444012122 in words is "two hundred eleven billion, four hundred forty-four million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 181 238 331 357 362 543 662 714 993 1086 1267 1986 2317 2534 3077 3801 4634 4943 5627 6154 6951 7602 9231 9886 11254 13902 14829 16881 18462 21539 29658 33762 34601 39389 43078 59911 64617 69202 78778 84031 103803 118167 119822 129234 168062 179733 207606 236334 252093 359466 419377 504186 588217 838754 894683 1018487 1176434 1258131 1636133 1764651 1789366 2036974 2516262 2684049 3055461 3272266 3529302 4908399 5368098 6110922 6262781 7129409 9816798 11452931 12525562 14258818 15209611 18788343 21388227 22905862 27814261 30419222 34358793 37576686 42776454 45628833 55628522 68717586 83442783 91257666 106467277 166885566 194699827 212934554 296140073 319401831 389399654 584099481 592280146 638803662 888420219 1168198962 1776840438 2072980511 4145961022 5034381241 6218941533 10068762482 12437883066 15103143723 30206287446 35240668687 70481337374 105722006061 211444012122