Search a number
-
+
221212021100 = 225279712172677
BaseRepresentation
bin1100111000000101000…
…0111001000101101100
3210010222122110000010112
43032001100321011230
512111020234133400
6245342353155152
721660561104060
oct3160120710554
9703878400115
10221212021100
11858a7467654
1236a5755bab8
1317b24b39a55
14a9c7345aa0
155b4a802835
hex338143916c

221212021100 has 144 divisors (see below), whose sum is σ = 554924190912. Its totient is φ = 74972528640.

The previous prime is 221212021087. The next prime is 221212021117. The reversal of 221212021100 is 1120212122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82632962 + ... + 82635638.

Almost surely, 2221212021100 is an apocalyptic number.

221212021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221212021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277462095456).

221212021100 is an abundant number, since it is smaller than the sum of its proper divisors (333712169812).

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

221212021100 is a wasteful number, since it uses less digits than its factorization.

221212021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221212021100 its reverse (1120212122), we get a palindrome (222332233222).

The spelling of 221212021100 in words is "two hundred twenty-one billion, two hundred twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 485 679 700 970 1217 1358 1940 2425 2434 2677 2716 3395 4850 4868 5354 6085 6790 8519 9700 10708 12170 13385 13580 16975 17038 18739 24340 26770 30425 33950 34076 37478 42595 53540 60850 66925 67900 74956 85190 93695 118049 121700 133850 170380 187390 212975 236098 259669 267700 374780 425950 468475 472196 519338 590245 826343 851900 936950 1038676 1180490 1298345 1652686 1817683 1873900 2360980 2596690 2951225 3257909 3305372 3635366 4131715 5193380 5902450 6491725 6515818 7270732 8263430 9088415 11804900 12983450 13031636 16289545 16526860 18176830 20658575 22805363 25966900 32579090 36353660 41317150 45442075 45610726 65158180 81447725 82634300 90884150 91221452 114026815 162895450 181768300 228053630 316017173 325790900 456107260 570134075 632034346 1140268150 1264068692 1580085865 2212120211 2280536300 3160171730 4424240422 6320343460 7900429325 8848480844 11060601055 15800858650 22121202110 31601717300 44242404220 55303005275 110606010550 221212021100