Search a number
-
+
21021102310122 = 23241213471334327
BaseRepresentation
bin1001100011110010110110…
…10101100000001011101010
32202102121010202121100121100
410301321123111200023222
510223402204142410442
6112412543332222230
74266503340321645
oct461713325401352
982377122540540
1021021102310122
116774aaa264952
12243604476a976
13b963874364c5
145295d912aa5c
15266c1900884c
hex131e5b5602ea

21021102310122 has 48 divisors (see below), whose sum is σ = 46658813527872. Its totient is φ = 6835805471040.

The previous prime is 21021102310121. The next prime is 21021102310147. The reversal of 21021102310122 is 22101320112012.

21021102310122 is a `hidden beast` number, since 21 + 0 + 211 + 0 + 2 + 310 + 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 = 21021102310095 and 21021102310104.

It is not an unprimeable number, because it can be changed into a prime (21021102310121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15086923 + ... + 16421249.

It is an arithmetic number, because the mean of its divisors is an integer number (972058615164).

Almost surely, 221021102310122 is an apocalyptic number.

21021102310122 is an abundant number, since it is smaller than the sum of its proper divisors (25637711217750).

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

21021102310122 is a wasteful number, since it uses less digits than its factorization.

21021102310122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355723 (or 1355720 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21021102310122 its reverse (22101320112012), we get a palindrome (43122422422134).

The spelling of 21021102310122 in words is "twenty-one trillion, twenty-one billion, one hundred two million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 21347 42694 64041 128082 192123 384246 875227 1334327 1750454 2625681 2668654 4002981 5251362 7877043 8005962 12008943 15754086 24017886 54707407 109414814 164122221 328244442 492366663 984733326 28483878469 56967756938 85451635407 170903270814 256354906221 512709812442 1167839017229 2335678034458 3503517051687 7007034103374 10510551155061 21021102310122