Search a number
-
+
21216106512240 = 2435183148279871
BaseRepresentation
bin1001101001011110000100…
…11111011111111101110000
32210010020110221102012202120
410310233002133133331300
510240101041231342430
6113042313401114240
74316545616562363
oct464570237377560
983106427365676
1021216106512240
11683a778029172
1224679a7188980
13bab893738653
14534c179220da
1526bd2daa6610
hex134bc27dff70

21216106512240 has 80 divisors (see below), whose sum is σ = 65805851774976. Its totient is φ = 5654538374400.

The previous prime is 21216106512233. The next prime is 21216106512247. The reversal of 21216106512240 is 4221560161212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21216106512233) and next prime (21216106512247).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21216106512247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23700496 + ... + 24579375.

Almost surely, 221216106512240 is an apocalyptic number.

21216106512240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21216106512240 is an abundant number, since it is smaller than the sum of its proper divisors (44589745262736).

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

21216106512240 is a wasteful number, since it uses less digits than its factorization.

21216106512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48281718 (or 48281712 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 21216106512240 its reverse (4221560161212), we get a palindrome (25437666673452).

The spelling of 21216106512240 in words is "twenty-one trillion, two hundred sixteen billion, one hundred six million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1831 3662 5493 7324 9155 10986 14648 18310 21972 27465 29296 36620 43944 54930 73240 87888 109860 146480 219720 439440 48279871 96559742 144839613 193119484 241399355 289679226 386238968 482798710 579358452 724198065 772477936 965597420 1158716904 1448396130 1931194840 2317433808 2896792260 3862389680 5793584520 11587169040 88400443801 176800887602 265201331403 353601775204 442002219005 530402662806 707203550408 884004438010 1060805325612 1326006657015 1414407100816 1768008876020 2121610651224 2652013314030 3536017752040 4243221302448 5304026628060 7072035504080 10608053256120 21216106512240