Search a number
-
+
21213244395 = 3257243229977
BaseRepresentation
bin10011110000011010…
…000110101111101011
32000202101110110200100
4103300122012233223
5321421042310040
613424545240443
71350453413400
oct236032065753
960671413610
1021213244395
118aa6361542
124140333123
132000b58625
1410534a22a7
15842520b30
hex4f0686beb

21213244395 has 144 divisors (see below), whose sum is σ = 44003662560. Its totient is φ = 9420945408.

The previous prime is 21213244369. The next prime is 21213244421. The reversal of 21213244395 is 59344231212.

21213244395 is a `hidden beast` number, since 2 + 1 + 21 + 3 + 244 + 395 = 666.

It is an interprime number because it is at equal distance from previous prime (21213244369) and next prime (21213244421).

It is not a de Polignac number, because 21213244395 - 213 = 21213236203 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21712147 + ... + 21713123.

It is an arithmetic number, because the mean of its divisors is an integer number (305580990).

Almost surely, 221213244395 is an apocalyptic number.

21213244395 is an abundant number, since it is smaller than the sum of its proper divisors (22790418165).

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

21213244395 is a wasteful number, since it uses less digits than its factorization.

21213244395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1264 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 21213244395 in words is "twenty-one billion, two hundred thirteen million, two hundred forty-four thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 49 63 105 129 147 215 229 245 301 315 387 441 645 687 735 903 977 1145 1505 1603 1935 2061 2107 2205 2709 2931 3435 4515 4809 4885 6321 6839 8015 8793 9847 10305 10535 11221 13545 14427 14655 18963 20517 24045 29541 31605 33663 34195 42011 43965 47873 49235 56105 61551 68929 72135 88623 94815 100989 102585 126033 143619 147705 168315 206787 210055 223733 239365 294077 307755 344645 378099 430857 443115 482503 504945 620361 630165 671199 718095 882231 1033935 1118665 1447509 1470385 1566131 1890495 2013597 2058539 2154285 2412515 2646693 3101805 3355995 4342527 4411155 4698393 6175617 7237545 7830655 9620519 10067985 10292695 10962917 13233465 14095179 18526851 21712635 23491965 28861557 30878085 32888751 48102595 54814585 67343633 70475895 86584671 92634255 98666253 144307785 164443755 202030899 336718165 432923355 471405431 493331265 606092697 1010154495 1414216293 2357027155 3030463485 4242648879 7071081465 21213244395