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20340442122 = 237111327112497
BaseRepresentation
bin10010111100011000…
…101000010000001010
31221111120010112001020
4102330120220100022
5313124123121442
613202210133310
71320024622350
oct227430502012
957446115036
1020340442122
118698716250
123b37b81236
131bc2095590
14dad5c57d0
157e0ab79ec
hex4bc62840a

20340442122 has 128 divisors (see below), whose sum is σ = 54826426368. Its totient is φ = 4858444800.

The previous prime is 20340442121. The next prime is 20340442139. The reversal of 20340442122 is 22124404302.

It is a junction number, because it is equal to n+sod(n) for n = 20340442092 and 20340442101.

It is not an unprimeable number, because it can be changed into a prime (20340442121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1621378 + ... + 1633874.

It is an arithmetic number, because the mean of its divisors is an integer number (428331456).

Almost surely, 220340442122 is an apocalyptic number.

20340442122 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 20340442122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27413213184).

20340442122 is an abundant number, since it is smaller than the sum of its proper divisors (34485984246).

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

20340442122 is a wasteful number, since it uses less digits than its factorization.

20340442122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12804.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20340442122 its reverse (22124404302), we get a palindrome (42464846424).

The spelling of 20340442122 in words is "twenty billion, three hundred forty million, four hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 271 273 286 429 462 542 546 813 858 1001 1626 1897 2002 2981 3003 3523 3794 5691 5962 6006 7046 8943 10569 11382 12497 17886 20867 21138 24661 24994 37491 38753 41734 49322 62601 73983 74982 77506 87479 116259 125202 137467 147966 162461 174958 232518 262437 271271 274934 324922 412401 487383 524874 542542 813813 824802 962269 974766 1137227 1627626 1787071 1924538 2274454 2886807 3386687 3411681 3574142 5361213 5773614 6773374 6823362 10160061 10722426 12509497 20320122 23706809 25018994 37253557 37528491 44026931 47413618 71120427 74507114 75056982 88053862 111760671 132080793 142240854 223521342 260774899 264161586 308188517 484296241 521549798 616377034 782324697 924565551 968592482 1452888723 1564649394 1849131102 2905777446 3390073687 6780147374 10170221061 20340442122