Search a number
-
+
20012213424 = 24371072332389
BaseRepresentation
bin10010101000110100…
…100010010010110000
31220122200111202220210
4102220310202102300
5311441111312144
613105443104120
71305631002360
oct225064422260
956580452823
1020012213424
11853a411165
123a66072040
131b6c092b08
14d7bb849a0
157c1d7eab9
hex4a8d224b0

20012213424 has 160 divisors (see below), whose sum is σ = 59916879360. Its totient is φ = 5637666816.

The previous prime is 20012213413. The next prime is 20012213461. The reversal of 20012213424 is 42431221002.

It is a super-2 number, since 2×200122134242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20012213424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8375622 + ... + 8378010.

It is an arithmetic number, because the mean of its divisors is an integer number (374480496).

Almost surely, 220012213424 is an apocalyptic number.

20012213424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29958439680).

20012213424 is an abundant number, since it is smaller than the sum of its proper divisors (39904665936).

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

20012213424 is a wasteful number, since it uses less digits than its factorization.

20012213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20012213424 its reverse (42431221002), we get a palindrome (62443434426).

The spelling of 20012213424 in words is "twenty billion, twelve million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 233 321 336 428 466 642 699 749 856 932 1284 1398 1498 1631 1712 1864 2247 2389 2568 2796 2996 3262 3728 4494 4778 4893 5136 5592 5992 6524 7167 8988 9556 9786 11184 11984 13048 14334 16723 17976 19112 19572 24931 26096 28668 33446 35952 38224 39144 49862 50169 57336 66892 74793 78288 99724 100338 114672 133784 149586 174517 199448 200676 255623 267568 299172 349034 398896 401352 511246 523551 556637 598344 698068 766869 802704 1022492 1047102 1113274 1196688 1396136 1533738 1669911 1789361 2044984 2094204 2226548 2792272 3067476 3339822 3578722 3896459 4089968 4188408 4453096 5368083 6134952 6679644 7157444 7792918 8376816 8906192 10736166 11689377 12269904 13359288 14314888 15585836 21472332 23378754 26718576 28629776 31171672 42944664 46757508 59560159 62343344 85889328 93515016 119120318 178680477 187030032 238240636 357360954 416921113 476481272 714721908 833842226 952962544 1250763339 1429443816 1667684452 2501526678 2858887632 3335368904 5003053356 6670737808 10006106712 20012213424