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21113235342 = 23223229157487
BaseRepresentation
bin10011101010011100…
…100110011110001110
32000111102021111001100
4103222130212132032
5321214442012332
613411013523530
71345130352663
oct235234463616
960442244040
1021113235342
118a54964231
1241129435a6
131cb6210984
1410440aba6a
1583886867c
hex4ea72678e

21113235342 has 144 divisors (see below), whose sum is σ = 49887059040. Its totient is φ = 6444966528.

The previous prime is 21113235293. The next prime is 21113235349. The reversal of 21113235342 is 24353231112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113235349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43353423 + ... + 43353909.

It is an arithmetic number, because the mean of its divisors is an integer number (346437910).

Almost surely, 221113235342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21113235342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24943529520).

21113235342 is an abundant number, since it is smaller than the sum of its proper divisors (28773823698).

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

21113235342 is a wasteful number, since it uses less digits than its factorization.

21113235342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 701 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 21113235342 its reverse (24353231112), we get a palindrome (45466466454).

The spelling of 21113235342 in words is "twenty-one billion, one hundred thirteen million, two hundred thirty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 157 174 207 261 314 414 471 487 522 529 667 942 974 1058 1334 1413 1461 1587 2001 2826 2922 3174 3611 4002 4383 4553 4761 6003 7222 8766 9106 9522 10833 11201 12006 13659 14123 15341 21666 22402 27318 28246 30682 32499 33603 40977 42369 46023 64998 67206 76459 81954 83053 84738 92046 100809 104719 127107 138069 152918 166106 201618 209438 229377 249159 254214 257623 276138 314157 324829 458754 498318 515246 628314 649658 688131 747477 772869 942471 974487 1376262 1494954 1545738 1758557 1884942 1948974 2217311 2318607 2408537 2923461 3517114 4434622 4637214 4817074 5275671 5846922 6651933 7225611 7471067 10551342 13303866 14451222 14942134 15827013 19955799 21676833 22413201 31654026 39911598 40446811 43353666 44826402 50998153 67239603 80893622 101996306 121340433 134479206 152994459 242680866 305988918 364021299 458983377 728042598 917966754 1172957519 2345915038 3518872557 7037745114 10556617671 21113235342