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20311324003422 = 2341791361951431
BaseRepresentation
bin1001001111001000110010…
…10000001000110001011110
32122220202002002111111210000
410213210121100020301132
510130240042421102142
6111110520551555130
74164305354261424
oct447443120106136
978822062444700
1020311324003422
116520a90980751
12234057938baa6
13b444711c048a
145031052d1114
1525352678514c
hex127919408c5e

20311324003422 has 80 divisors (see below), whose sum is σ = 45770920905600. Its totient is φ = 6731992388880.

The previous prime is 20311324003403. The next prime is 20311324003427. The reversal of 20311324003422 is 22430042311302.

20311324003422 is a `hidden beast` number, since 2 + 0 + 311 + 3 + 2 + 4 + 0 + 0 + 342 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311324003427) 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 39 ways as a sum of consecutive naturals, for example, 394898047 + ... + 394949477.

It is an arithmetic number, because the mean of its divisors is an integer number (572136511320).

Almost surely, 220311324003422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311324003422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22885460452800).

20311324003422 is an abundant number, since it is smaller than the sum of its proper divisors (25459596902178).

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

20311324003422 is a wasteful number, since it uses less digits than its factorization.

20311324003422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65243 (or 65234 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20311324003422 its reverse (22430042311302), we get a palindrome (42741366314724).

The spelling of 20311324003422 in words is "twenty trillion, three hundred eleven billion, three hundred twenty-four million, three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 358 537 1074 1611 3222 4833 9666 13619 14499 27238 28998 40857 51431 81714 102862 122571 154293 245142 308586 367713 462879 735426 925758 1103139 1388637 2206278 2437801 2777274 4165911 4875602 7313403 8331822 9206149 14626806 18412298 21940209 27618447 43880418 55236894 65820627 82855341 131641254 165710682 197461881 248566023 394923762 497132046 700438789 745698069 1400877578 1491396138 2101316367 4202632734 6303949101 12607898202 18911847303 37823694606 56735541909 113471083818 125378543231 250757086462 376135629693 752271259386 1128406889079 2256813778158 3385220667237 6770441334474 10155662001711 20311324003422