Search a number
-
+
212122111110 = 235713372100011
BaseRepresentation
bin1100010110001101110…
…1101000110010000110
3202021112011011201210120
43011203131220302012
511433411230023420
6241240401002410
721216404123550
oct3054335506206
9667464151716
10212122111110
1181a62446748
123513b323406
13170068697a0
14a3a40084d0
1557b77b5d40
hex3163768c86

212122111110 has 128 divisors (see below), whose sum is σ = 643510877184. Its totient is φ = 43545807360.

The previous prime is 212122111081. The next prime is 212122111127. The reversal of 212122111110 is 11111221212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212122111110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 948996 + ... + 1151015.

It is an arithmetic number, because the mean of its divisors is an integer number (5027428728).

Almost surely, 2212122111110 is an apocalyptic number.

212122111110 is an abundant number, since it is smaller than the sum of its proper divisors (431388766074).

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

212122111110 is a wasteful number, since it uses less digits than its factorization.

212122111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100078.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212122111110 its reverse (11111221212), we get a palindrome (223233332322).

The spelling of 212122111110 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2405 2590 2730 2886 3367 3885 4810 6734 7215 7770 10101 14430 16835 20202 33670 50505 101010 2100011 4200022 6300033 10500055 12600066 14700077 21000110 27300143 29400154 31500165 44100231 54600286 63000330 73500385 77700407 81900429 88200462 136500715 147000770 155400814 163800858 191101001 220501155 233101221 273001430 382202002 388502035 409502145 441002310 466202442 543902849 573303003 777004070 819004290 955505005 1010105291 1087805698 1146606006 1165506105 1631708547 1911010010 2020210582 2331012210 2719514245 2866515015 3030315873 3263417094 5050526455 5439028490 5733030030 6060631746 7070737037 8158542735 10101052910 14141474074 15151579365 16317085470 21212211111 30303158730 35353685185 42424422222 70707370370 106061055555 212122111110