Search a number
-
+
21011222222120 = 23513172139813829
BaseRepresentation
bin1001100011100000011100…
…11011111101010100101000
32202101122122012110212211002
410301300032123331110220
510223221440342101440
6112404231111454132
74266003450053444
oct461601633752450
982348565425732
1021011222222120
11677089a201569
122434147987348
13b95471541ba0
14528d3cc9d824
1526683b935115
hex131c0e6fd528

21011222222120 has 96 divisors (see below), whose sum is σ = 54082785720600. Its totient is φ = 7301637353472.

The previous prime is 21011222222077. The next prime is 21011222222141. The reversal of 21011222222120 is 2122222211012.

It can be written as a sum of positive squares in 12 ways, for example, as 7974399914404 + 13036822307716 = 2823898^2 + 3610654^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21011222222092 and 21011222222101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69756635 + ... + 70057194.

Almost surely, 221011222222120 is an apocalyptic number.

21011222222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011222222120 is an abundant number, since it is smaller than the sum of its proper divisors (33071563498480).

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

21011222222120 is a wasteful number, since it uses less digits than its factorization.

21011222222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139813887 (or 139813866 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21011222222120 its reverse (2122222211012), we get a palindrome (23133444433132).

The spelling of 21011222222120 in words is "twenty-one trillion, eleven billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 289 340 442 520 578 680 884 1105 1156 1445 1768 2210 2312 2890 3757 4420 5780 7514 8840 11560 15028 18785 30056 37570 75140 150280 139813829 279627658 559255316 699069145 1118510632 1398138290 1817579777 2376835093 2796276580 3635159554 4753670186 5592553160 7270319108 9087898885 9507340372 11884175465 14540638216 18175797770 19014680744 23768350930 30898856209 36351595540 40406196581 47536701860 61797712418 72703191080 80812393162 95073403720 123595424836 154494281045 161624786324 202030982905 247190849672 308988562090 323249572648 404061965810 525280555553 617977124180 808123931620 1050561111106 1235954248360 1616247863240 2101122222212 2626402777765 4202244444424 5252805555530 10505611111060 21011222222120