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20301334240 = 2551120875527
BaseRepresentation
bin10010111010000011…
…011100011011100000
31221101211112122010011
4102322003130123200
5313034120143430
613154252014304
71316041331245
oct227203343340
957354478104
1020301334240
118678634990
123b26a61394
131bb6c51b15
14da83255cc
157dc44022a
hex4ba0dc6e0

20301334240 has 96 divisors (see below), whose sum is σ = 52356616704. Its totient is φ = 7377431040.

The previous prime is 20301334217. The next prime is 20301334243. The reversal of 20301334240 is 4243310302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301334243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3670357 + ... + 3675883.

It is an arithmetic number, because the mean of its divisors is an integer number (545381424).

Almost surely, 220301334240 is an apocalyptic number.

20301334240 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 20301334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26178308352).

20301334240 is an abundant number, since it is smaller than the sum of its proper divisors (32055282464).

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

20301334240 is a wasteful number, since it uses less digits than its factorization.

20301334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7640 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20301334240 its reverse (4243310302), we get a palindrome (24544644542).

The spelling of 20301334240 in words is "twenty billion, three hundred one million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2087 4174 5527 8348 10435 11054 16696 20870 22108 22957 27635 33392 41740 44216 45914 55270 60797 66784 83480 88432 91828 110540 114785 121594 166960 176864 183656 221080 229570 243188 303985 333920 367312 442160 459140 486376 607970 734624 884320 918280 972752 1215940 1836560 1945504 2431880 3673120 4863760 9727520 11534849 23069698 46139396 57674245 92278792 115348490 126883339 184557584 230696980 253766678 369115168 461393960 507533356 634416695 922787920 1015066712 1268833390 1845575840 2030133424 2537666780 4060266848 5075333560 10150667120 20301334240