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20311111340 = 225131931132631
BaseRepresentation
bin10010111010101000…
…101111011010101100
31221102111221100202222
4102322220233122230
5313044121030330
613155241334512
71316220412022
oct227250573254
957374840688
1020311111340
118683102633
123b2a197438
131bb8c960a0
14da974c712
157dd2220e5
hex4baa2f6ac

20311111340 has 96 divisors (see below), whose sum is σ = 49912074240. Its totient is φ = 6875539200.

The previous prime is 20311111277. The next prime is 20311111349. The reversal of 20311111340 is 4311111302.

It is not an unprimeable number, because it can be changed into a prime (20311111349) 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 31 ways as a sum of consecutive naturals, for example, 86825 + ... + 219455.

It is an arithmetic number, because the mean of its divisors is an integer number (519917440).

Almost surely, 220311111340 is an apocalyptic number.

20311111340 is a gapful number since it is divisible by the number (20) 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 20311111340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24956037120).

20311111340 is an abundant number, since it is smaller than the sum of its proper divisors (29600962900).

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

20311111340 is a wasteful number, since it uses less digits than its factorization.

20311111340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132703 (or 132701 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 20311111340 its reverse (4311111302), we get a palindrome (24622222642).

The spelling of 20311111340 in words is "twenty billion, three hundred eleven million, one hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 31 38 52 62 65 76 95 124 130 155 190 247 260 310 380 403 494 589 620 806 988 1178 1235 1612 2015 2356 2470 2945 4030 4940 5890 7657 8060 11780 15314 30628 38285 76570 132631 153140 265262 530524 663155 1326310 1724203 2519989 2652620 3448406 4111561 5039978 6896812 8223122 8621015 10079956 12599945 16446244 17242030 20557805 25199890 32759857 34484060 41115610 50399780 53450293 65519714 78119659 82231220 106900586 131039428 156239318 163799285 213801172 267251465 312478636 327598570 390598295 534502930 655197140 781196590 1015555567 1069005860 1562393180 2031111134 4062222268 5077777835 10155555670 20311111340