Search a number
-
+
21000212221221 = 335632039677539
BaseRepresentation
bin1001100011001011111100…
…01100001000110100100101
32202100121012220012212221000
410301211332030020310211
510223031413312034341
6112355210405143513
74265133556435452
oct461457614106445
982317186185830
1021000212221221
11676715a362972
122431b946bab99
13b9440852545c
145285b6948829
152663e506c8b6
hex13197e308d25

21000212221221 has 32 divisors (see below), whose sum is σ = 31182016896000. Its totient is φ = 13968399843504.

The previous prime is 21000212221207. The next prime is 21000212221223. The reversal of 21000212221221 is 12212221200012.

It is a happy number.

21000212221221 is a `hidden beast` number, since 2 + 10 + 0 + 0 + 212 + 221 + 221 = 666.

It is not a de Polignac number, because 21000212221221 - 217 = 21000212090149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21000212221194 and 21000212221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000212221223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30656070 + ... + 31333608.

It is an arithmetic number, because the mean of its divisors is an integer number (974438028000).

Almost surely, 221000212221221 is an apocalyptic number.

It is an amenable number.

21000212221221 is a deficient number, since it is larger than the sum of its proper divisors (10181804674779).

21000212221221 is a wasteful number, since it uses less digits than its factorization.

21000212221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680150 (or 680144 counting only the distinct ones).

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

Adding to 21000212221221 its reverse (12212221200012), we get a palindrome (33212433421233).

The spelling of 21000212221221 in words is "twenty-one trillion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 563 1689 2039 5067 6117 15201 18351 55053 677539 1147957 2032617 3443871 6097851 10331613 18293553 30994839 381454457 1144363371 1381502021 3433090113 4144506063 10299270339 12433518189 37300554567 777785637823 2333356913469 7000070740407 21000212221221