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20323312100322 = 23711536011381027
BaseRepresentation
bin1001001111011111000111…
…10011000110001111100010
32122221220000120012221010220
410213233203303012033202
510130434120344202242
6111120222314303510
74165211422361310
oct447574363061742
978856016187126
1020323312100322
116526082942350
122342964127b96
13b45631a4813a
145039214d10b0
152539c8e53bec
hex127be3cc63e2

20323312100322 has 128 divisors (see below), whose sum is σ = 51718415874048. Its totient is φ = 5170561344000.

The previous prime is 20323312100321. The next prime is 20323312100363. The reversal of 20323312100322 is 22300121332302.

It is a junction number, because it is equal to n+sod(n) for n = 20323312100292 and 20323312100301.

It is not an unprimeable number, because it can be changed into a prime (20323312100321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14025573 + ... + 15406599.

It is an arithmetic number, because the mean of its divisors is an integer number (404050124016).

Almost surely, 220323312100322 is an apocalyptic number.

20323312100322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20323312100322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25859207937024).

20323312100322 is an abundant number, since it is smaller than the sum of its proper divisors (31395103773726).

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

20323312100322 is a wasteful number, since it uses less digits than its factorization.

20323312100322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381704.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20323312100322 its reverse (22300121332302), we get a palindrome (42623433432624).

The spelling of 20323312100322 in words is "twenty trillion, three hundred twenty-three billion, three hundred twelve million, one hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 231 318 371 462 583 601 742 1113 1166 1202 1749 1803 2226 3498 3606 4081 4207 6611 8162 8414 12243 12621 13222 19833 24486 25242 31853 39666 46277 63706 92554 95559 138831 191118 222971 277662 350383 445942 668913 700766 1051149 1337826 1381027 2102298 2452681 2762054 4143081 4905362 7358043 8286162 9667189 14716086 15191297 19334378 29001567 30382594 45573891 58003134 73194431 91147782 106339079 146388862 212678158 219583293 319017237 439166586 512361017 638034474 805138741 829997227 1024722034 1537083051 1610277482 1659994454 2415416223 2489991681 3074166102 4830832446 4979983362 5635971187 5809980589 9129969497 11271942374 11619961178 16907913561 17429941767 18259938994 27389908491 33815827122 34859883534 43989853031 54779816982 63909786479 87979706062 127819572958 131969559093 191729359437 263939118186 307928971217 383458718874 483888383341 615857942434 923786913651 967776766682 1451665150023 1847573827302 2903330300046 3387218683387 6774437366774 10161656050161 20323312100322