Search a number
-
+
21122021022210 = 2325299078922523
BaseRepresentation
bin1001100110101110110101…
…00011110101101000000010
32202210020121221222002220200
410303113122203311220002
510232030344340202320
6112531153354350030
74310005241242233
oct463273243655002
982706557862820
1021122021022210
116803887242a39
12245170a12b316
13ba2a4b391764
145304501b908a
15269673c19290
hex1335da8f5a02

21122021022210 has 96 divisors (see below), whose sum is σ = 56873595579840. Its totient is φ = 5432316914304.

The previous prime is 21122021022199. The next prime is 21122021022211. The reversal of 21122021022210 is 1222012022112.

It is a happy number.

21122021022210 is a `hidden beast` number, since 2 + 1 + 1 + 220 + 210 + 22 + 210 = 666.

It is a super-2 number, since 2×211220210222102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21122021022211) 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, 2093992 + ... + 6828531.

It is an arithmetic number, because the mean of its divisors is an integer number (592433287290).

Almost surely, 221122021022210 is an apocalyptic number.

21122021022210 is an abundant number, since it is smaller than the sum of its proper divisors (35751574557630).

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

21122021022210 is a wasteful number, since it uses less digits than its factorization.

21122021022210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8923472 (or 8923469 counting only the distinct ones).

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

Adding to 21122021022210 its reverse (1222012022112), we get a palindrome (22344033044322).

The spelling of 21122021022210 in words is "twenty-one trillion, one hundred twenty-two billion, twenty-one million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 907 1305 1814 2610 2721 4535 5442 8163 9070 13605 16326 26303 27210 40815 52606 78909 81630 131515 157818 236727 263030 394545 473454 789090 1183635 2367270 8922523 17845046 26767569 44612615 53535138 80302707 89225230 133837845 160605414 258753167 267675690 401513535 517506334 776259501 803027070 1293765835 1552519002 2328778503 2587531670 3881297505 4657557006 7762595010 8092728361 11643892515 16185456722 23287785030 24278185083 40463641805 48556370166 72834555249 80927283610 121390925415 145669110498 234689122469 242781850830 364172776245 469378244938 704067367407 728345552490 1173445612345 1408134734814 2112202102221 2346891224690 3520336837035 4224404204442 7040673674070 10561010511105 21122021022210