Search a number
-
+
21112110220110 = 23571316094806323
BaseRepresentation
bin1001100110011100010111…
…10101001000001101001110
32202202022001021001012022020
410303032023311020031032
510231400100204020420
6112522434115431010
74306204525642410
oct463161365101516
982668037035266
1021112110220110
1167aa6609116a8
12244b802bb5466
13ba1b2c005110
1452db8dc349b0
15269293aca340
hex13338bd4834e

21112110220110 has 128 divisors (see below), whose sum is σ = 62400696744960. Its totient is φ = 4451653886976.

The previous prime is 21112110220099. The next prime is 21112110220127. The reversal of 21112110220110 is 1102201121112.

It is a happy number.

It is a super-2 number, since 2×211121102201102 (a number of 27 digits) contains 22 as substring.

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 21112110220110.

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, 1989409 + ... + 6795731.

It is an arithmetic number, because the mean of its divisors is an integer number (487505443320).

Almost surely, 221112110220110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112110220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31200348372480).

21112110220110 is an abundant number, since it is smaller than the sum of its proper divisors (41288586524850).

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

21112110220110 is a wasteful number, since it uses less digits than its factorization.

21112110220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807962.

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

Adding to 21112110220110 its reverse (1102201121112), we get a palindrome (22214311341222).

The spelling of 21112110220110 in words is "twenty-one trillion, one hundred twelve billion, one hundred ten million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 1609 2730 3218 4827 8045 9654 11263 16090 20917 22526 24135 33789 41834 48270 56315 62751 67578 104585 112630 125502 146419 168945 209170 292838 313755 337890 439257 627510 732095 878514 1464190 2196285 4392570 4806323 9612646 14418969 24031615 28837938 33644261 48063230 62482199 67288522 72094845 100932783 124964398 144189690 168221305 187446597 201865566 312410995 336442610 374893194 437375393 504663915 624821990 874750786 937232985 1009327830 1312126179 1874465970 2186876965 2624252358 4373753930 6560630895 7733373707 13121261790 15466747414 23200121121 38666868535 46400242242 54133615949 77333737070 100533858191 108267231898 116000605605 162400847847 201067716382 232001211210 270668079745 301601574573 324801695694 502669290955 541336159490 603203149146 703737007337 812004239235 1005338581910 1407474014674 1508007872865 1624008478470 2111211022011 3016015745730 3518685036685 4222422044022 7037370073370 10556055110055 21112110220110