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21213213021 = 32711135993931
BaseRepresentation
bin10011110000011001…
…111111000101011101
32000202101101212122100
4103300121333011131
5321421040304041
613424544435313
71350453223050
oct236031770535
960671355570
1021213213021
118aa633aa10
124140318b39
132000b47270
141053494a97
158425166b6
hex4f067f15d

21213213021 has 96 divisors (see below), whose sum is σ = 41219942400. Its totient is φ = 10152604800.

The previous prime is 21213213019. The next prime is 21213213023. The reversal of 21213213021 is 12031231212.

21213213021 is a `hidden beast` number, since 21 + 21 + 321 + 302 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21213213019) and next prime (21213213023).

It is not a de Polignac number, because 21213213021 - 21 = 21213213019 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21213212985 and 21213213003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213213023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5394426 + ... + 5398356.

It is an arithmetic number, because the mean of its divisors is an integer number (429374400).

Almost surely, 221213213021 is an apocalyptic number.

21213213021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21213213021 is a deficient number, since it is larger than the sum of its proper divisors (20006729379).

21213213021 is a wasteful number, since it uses less digits than its factorization.

21213213021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21213213021 its reverse (12031231212), we get a palindrome (33244444233).

The spelling of 21213213021 in words is "twenty-one billion, two hundred thirteen million, two hundred thirteen thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 599 693 819 1001 1287 1797 3003 3931 4193 5391 6589 7787 9009 11793 12579 19767 23361 27517 35379 37737 43241 46123 51103 54509 59301 70083 82551 85657 129723 138369 153309 163527 247653 256971 302687 357721 389169 415107 459927 490581 562133 599599 770913 908061 1073163 1686399 1798797 2354669 2724183 3219489 3934931 5059197 5396391 7064007 11804793 16482683 21192021 25901359 30610697 35414379 49448049 77704077 91832091 148344147 181309513 214274879 233112231 275496273 336717667 543928539 642824637 1010153001 1631785617 1928473911 2357023669 3030459003 7071071007 21213213021