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2012301320 = 2354110911257
BaseRepresentation
bin111011111110001…
…0100100000001000
312012020111111110112
41313330110200020
513110122120240
6531402333452
7100603164461
oct16774244010
95166444415
102012301320
11942989847
12481aba288
13260b93553
1415137bd68
15bb9e2665
hex77f14808

2012301320 has 64 divisors (see below), whose sum is σ = 4681076400. Its totient is φ = 778014720.

The previous prime is 2012301301. The next prime is 2012301337. The reversal of 2012301320 is 231032102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 889113124 + 1123188196 = 29818^2 + 33514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2012301295 and 2012301304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173132 + ... + 184388.

Almost surely, 22012301320 is an apocalyptic number.

2012301320 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 2012301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340538200).

2012301320 is an abundant number, since it is smaller than the sum of its proper divisors (2668775080).

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

2012301320 is a wasteful number, since it uses less digits than its factorization.

2012301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11418 (or 11414 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2012301320 is about 44858.6816569547. The cubic root of 2012301320 is about 1262.4988872977.

Adding to 2012301320 its reverse (231032102), we get a palindrome (2243333422).

The spelling of 2012301320 in words is "two billion, twelve million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 109 164 205 218 328 410 436 545 820 872 1090 1640 2180 4360 4469 8938 11257 17876 22345 22514 35752 44690 45028 56285 89380 90056 112570 178760 225140 450280 461537 923074 1227013 1846148 2307685 2454026 3692296 4615370 4908052 6135065 9230740 9816104 12270130 18461480 24540260 49080520 50307533 100615066 201230132 251537665 402460264 503075330 1006150660 2012301320