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20102330240 = 275157200063
BaseRepresentation
bin10010101110001100…
…010011011110000000
31220212222002011221122
4102232030103132000
5312132144031430
613122422411412
71311103662536
oct225614233600
956788064848
1020102330240
118586272273
123a90290b68
131b84955c85
14d89b22156
157c9c30ee5
hex4ae313780

20102330240 has 64 divisors (see below), whose sum is σ = 48363471360. Its totient is φ = 7989676032.

The previous prime is 20102330233. The next prime is 20102330249. The reversal of 20102330240 is 4203320102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102330249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449 + ... + 200511.

It is an arithmetic number, because the mean of its divisors is an integer number (755679240).

Almost surely, 220102330240 is an apocalyptic number.

20102330240 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 20102330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24181735680).

20102330240 is an abundant number, since it is smaller than the sum of its proper divisors (28261141120).

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

20102330240 is a wasteful number, since it uses less digits than its factorization.

20102330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200239 (or 200227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20102330240 its reverse (4203320102), we get a palindrome (24305650342).

The spelling of 20102330240 in words is "twenty billion, one hundred two million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 314 320 628 640 785 1256 1570 2512 3140 5024 6280 10048 12560 20096 25120 50240 100480 200063 400126 800252 1000315 1600504 2000630 3201008 4001260 6402016 8002520 12804032 16005040 25608064 31409891 32010080 62819782 64020160 125639564 128040320 157049455 251279128 314098910 502558256 628197820 1005116512 1256395640 2010233024 2512791280 4020466048 5025582560 10051165120 20102330240