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20103312042 = 232112273131429
BaseRepresentation
bin10010101110010000…
…000011001010101010
31220220000221001201200
4102232100003022222
5312132421441132
613122455425030
71311115222122
oct225620031252
956800831650
1020103312042
118586882980
123a90685176
131b84c0ab18
14d89cd9c82
157c9d76d7c
hex4ae4032aa

20103312042 has 96 divisors (see below), whose sum is σ = 47912230080. Its totient is φ = 6041468160.

The previous prime is 20103312041. The next prime is 20103312059. The reversal of 20103312042 is 24021330102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20103312041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14067384 + ... + 14068812.

It is an arithmetic number, because the mean of its divisors is an integer number (499085730).

Almost surely, 220103312042 is an apocalyptic number.

20103312042 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 20103312042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23956115040).

20103312042 is an abundant number, since it is smaller than the sum of its proper divisors (27808918038).

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

20103312042 is a wasteful number, since it uses less digits than its factorization.

20103312042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20103312042 its reverse (24021330102), we get a palindrome (44124642144).

The spelling of 20103312042 in words is "twenty billion, one hundred three million, three hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 227 313 454 626 681 939 1362 1429 1878 2043 2497 2817 2858 3443 4086 4287 4994 5634 6886 7491 8574 10329 12861 14982 15719 20658 22473 25722 30987 31438 44946 47157 61974 71051 94314 141471 142102 213153 282942 324383 426306 447277 639459 648766 781561 894554 973149 1278918 1341831 1563122 1946298 2344683 2683662 2919447 3568213 4025493 4689366 4920047 5838894 7034049 7136426 8050986 9840094 10704639 14068098 14760141 21409278 29520282 32113917 44280423 64227834 88560846 101531879 203063758 304595637 609191274 913786911 1116850669 1827573822 2233701338 3350552007 6701104014 10051656021 20103312042