Search a number
-
+
10021213211312 = 2461443128917981
BaseRepresentation
bin1001000111010011111011…
…0110101000101010110000
31022111000111120122001010102
42101310332312220222300
52303141421040230222
633151403133451532
72053003001562362
oct221647666505260
938430446561112
1010021213211312
113213a77672716
12115a218040ba8
13578cc4ca1a74
1426905a5c2d32
15125a1c458d92
hex91d3eda8ab0

10021213211312 has 80 divisors (see below), whose sum is σ = 19795389755040. Its totient is φ = 4913252198400.

The previous prime is 10021213211299. The next prime is 10021213211327. The reversal of 10021213211312 is 21311231212001.

10021213211312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100212132113122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557313362 + ... + 557331342.

It is an arithmetic number, because the mean of its divisors is an integer number (247442371938).

Almost surely, 210021213211312 is an apocalyptic number.

It is an amenable number.

10021213211312 is a deficient number, since it is larger than the sum of its proper divisors (9774176543728).

10021213211312 is a wasteful number, since it uses less digits than its factorization.

10021213211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19782 (or 19776 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10021213211312 its reverse (21311231212001), we get a palindrome (31332444423313).

The spelling of 10021213211312 in words is "ten trillion, twenty-one billion, two hundred thirteen million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 61 122 244 443 488 886 976 1289 1772 2578 3544 5156 7088 10312 17981 20624 27023 35962 54046 71924 78629 108092 143848 157258 216184 287696 314516 432368 571027 629032 1096841 1142054 1258064 2193682 2284108 4387364 4568216 7965583 8774728 9136432 15931166 17549456 23177509 31862332 34832647 46355018 63724664 69665294 92710036 127449328 139330588 185420072 278661176 370840144 485900563 557322352 971801126 1413828049 1943602252 2827656098 3887204504 5655312196 7774409008 10267636487 11310624392 20535272974 22621248784 41070545948 82141091896 164282183792 626325825707 1252651651414 2505303302828 5010606605656 10021213211312