Search a number
-
+
20012122223232 = 27383859973019
BaseRepresentation
bin1001000110011011011110…
…11011111011001010000000
32121212010210012120020202120
410203031233123323022000
510110334311242120412
6110321235251244240
74133554021146366
oct443155733731200
977763705506676
1020012122223232
116416103309847
1222b25972a9680
13b2219a8703a9
144d28401b3636
1524a8641eab8c
hex12336f6fb280

20012122223232 has 128 divisors (see below), whose sum is σ = 53804640960000. Its totient is φ = 6589480786944.

The previous prime is 20012122223221. The next prime is 20012122223287. The reversal of 20012122223232 is 23232222121002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274030819 + ... + 274103837.

It is an arithmetic number, because the mean of its divisors is an integer number (420348757500).

Almost surely, 220012122223232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012122223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26902320480000).

20012122223232 is an abundant number, since it is smaller than the sum of its proper divisors (33792518736768).

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

20012122223232 is an equidigital number, since it uses as much as digits as its factorization.

20012122223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81718 (or 81706 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20012122223232 its reverse (23232222121002), we get a palindrome (43244344344234).

The spelling of 20012122223232 in words is "twenty trillion, twelve billion, one hundred twenty-two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3984 5312 7968 8599 10624 15936 17198 25797 31872 34396 51594 68792 73019 103188 137584 146038 206376 219057 275168 292076 412752 438114 550336 584152 713717 825504 876228 1100672 1168304 1427434 1651008 1752456 2141151 2336608 2854868 3302016 3504912 4282302 4673216 5709736 6060577 7009824 8564604 9346432 11419472 12121154 14019648 17129208 18181731 22838944 24242308 28039296 34258416 36363462 45677888 48484616 68516832 72726924 91355776 96969232 137033664 145453848 193938464 274067328 290907696 387876928 581815392 627890381 775753856 1163630784 1255780762 1883671143 2327261568 2511561524 3767342286 5023123048 7534684572 10046246096 15069369144 20092492192 30138738288 40184984384 52114901623 60277476576 80369968768 104229803246 120554953152 156344704869 208459606492 241109906304 312689409738 416919212984 625378819476 833838425968 1250757638952 1667676851936 2501515277904 3335353703872 5003030555808 6670707407744 10006061111616 20012122223232