Search a number
-
+
11022121211010 = 23571325116085287
BaseRepresentation
bin1010000001100100100110…
…0111101001010010000010
31110000201000120121122000220
42200121021213221102002
52421041301012223020
635235254221523510
72215215303316020
oct240311147512202
943021016548026
1011022121211010
11356a501094188
1212a01b2113596
1361c4c6405220
142a168b469710
15141a9d77c240
hexa06499e9482

11022121211010 has 128 divisors (see below), whose sum is σ = 32687364132864. Its totient is φ = 2316281184000.

The previous prime is 11022121211009. The next prime is 11022121211021. The reversal of 11022121211010 is 1011212122011.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7357414 + ... + 8727873.

It is an arithmetic number, because the mean of its divisors is an integer number (255370032288).

Almost surely, 211022121211010 is an apocalyptic number.

11022121211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11022121211010 is an abundant number, since it is smaller than the sum of its proper divisors (21665242921854).

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

11022121211010 is a wasteful number, since it uses less digits than its factorization.

11022121211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16085568.

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

Adding to 11022121211010 its reverse (1011212122011), we get a palindrome (12033333333021).

The spelling of 11022121211010 in words is "eleven trillion, twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 251 273 390 455 502 546 753 910 1255 1365 1506 1757 2510 2730 3263 3514 3765 5271 6526 7530 8785 9789 10542 16315 17570 19578 22841 26355 32630 45682 48945 52710 68523 97890 114205 137046 228410 342615 685230 16085287 32170574 48255861 80426435 96511722 112597009 160852870 209108731 225194018 241279305 337791027 418217462 482558610 562985045 627326193 675582054 1045543655 1125970090 1254652386 1463761117 1688955135 2091087310 2927522234 3136630965 3377910270 4037407037 4391283351 6273261930 7318805585 8074814074 8782566702 12112221111 14637611170 20187035185 21956416755 24224442222 28261849259 40374070370 43912833510 52486291481 56523698518 60561105555 84785547777 104972582962 121122211110 141309246295 157458874443 169571095554 262431457405 282618492590 314917748886 367404040367 423927738885 524862914810 734808080734 787294372215 847855477770 1102212121101 1574588744430 1837020201835 2204424242202 3674040403670 5511060605505 11022121211010