Search a number
-
+
22011010211120 = 245759666192803
BaseRepresentation
bin1010000000100110101100…
…11100011101110100110000
32212221020021010222000212212
411000103112130131310300
510341112022103223440
6114451415110111252
74431146231541560
oct500232634356460
985836233860785
1022011010211120
1170168a9490457
122575a6a94b528
13c38824909418
145614a50b8da0
1528285476d465
hex1404d671dd30

22011010211120 has 80 divisors (see below), whose sum is σ = 59477693541120. Its totient is φ = 7418723043072.

The previous prime is 22011010211111. The next prime is 22011010211131. The reversal of 22011010211120 is 2111201011022.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 22011010211095 and 22011010211104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333063362 + ... + 333129441.

It is an arithmetic number, because the mean of its divisors is an integer number (743471169264).

Almost surely, 222011010211120 is an apocalyptic number.

22011010211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011010211120 is an abundant number, since it is smaller than the sum of its proper divisors (37466683330000).

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

22011010211120 is a wasteful number, since it uses less digits than its factorization.

22011010211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666192882 (or 666192876 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22011010211120 its reverse (2111201011022), we get a palindrome (24122211222142).

The spelling of 22011010211120 in words is "twenty-two trillion, eleven billion, ten million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 3304 4130 4720 6608 8260 16520 33040 666192803 1332385606 2664771212 3330964015 4663349621 5329542424 6661928030 9326699242 10659084848 13323856060 18653398484 23316748105 26647712120 37306796968 39305375377 46633496210 53295424240 74613593936 78610750754 93266992420 157221501508 186533984840 196526876885 275137627639 314443003016 373067969680 393053753770 550275255278 628886006032 786107507540 1100550510556 1375688138195 1572215015080 2201101021112 2751376276390 3144430030160 4402202042224 5502752552780 11005505105560 22011010211120