Search a number
-
+
211221010002222 = 2321137108247266351
BaseRepresentation
bin110000000001101010111001…
…010001010011000100101110
31000200212112100100121010012200
4300001222321101103010232
5210141121112030032342
62025121331544242330
762330133350522013
oct6001527121230456
91020775310533180
10211221010002222
1161335366698060
121b834068a703a6
1390b209570977c
143a2321975570a
15196452344394c
hexc01ab945312e

211221010002222 has 96 divisors (see below), whose sum is σ = 512749555928064. Its totient is φ = 62275655736000.

The previous prime is 211221010002169. The next prime is 211221010002229. The reversal of 211221010002222 is 222200010122112.

It is a happy number.

211221010002222 is a `hidden beast` number, since 211 + 221 + 0 + 10 + 0 + 0 + 2 + 222 = 666.

It is a super-2 number, since 2×2112210100022222 (a number of 29 digits) contains 22 as substring.

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 = 211221010002195 and 211221010002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221010002229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792884347 + ... + 793150697.

It is an arithmetic number, because the mean of its divisors is an integer number (5341141207584).

Almost surely, 2211221010002222 is an apocalyptic number.

211221010002222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211221010002222 is an abundant number, since it is smaller than the sum of its proper divisors (301528545925842).

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

211221010002222 is a wasteful number, since it uses less digits than its factorization.

211221010002222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374654 (or 374651 counting only the distinct ones).

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

Adding to 211221010002222 its reverse (222200010122112), we get a palindrome (433421020124334).

The spelling of 211221010002222 in words is "two hundred eleven trillion, two hundred twenty-one billion, ten million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 108247 216494 266351 324741 532702 649482 799053 974223 1190717 1598106 1948446 2381434 2397159 2929861 3572151 4005139 4794318 5859722 7144302 8010278 8789583 9854987 10716453 12015417 17579166 19709974 21432906 24030834 26368749 29564961 36046251 44056529 52737498 59129922 72092502 88113058 88694883 108404857 132169587 177389766 216809714 264339174 325214571 396508761 650429142 793017522 975643713 1951287426 28831696697 57663393394 86495090091 172990180182 259485270273 317148663667 518970540546 634297327334 951445991001 1066772777789 1902891982002 2133545555578 2854337973003 3200318333367 5708675946006 6400636666734 9600955000101 11734500555679 19201910000202 23469001111358 35203501667037 70407003334074 105610505001111 211221010002222