Search a number
-
+
2302131012 = 22329109137443
BaseRepresentation
bin1000100100110111…
…1011101101000100
312221102212101001120
42021031323231010
514203321143022
61020234353540
7111022535136
oct21115735504
95842771046
102302131012
11a81547115
12542b8b8b0
132a8c400cc
1417ba65056
15d7192d5c
hex8937bb44

2302131012 has 96 divisors (see below), whose sum is σ = 5661532800. Its totient is φ = 727114752.

The previous prime is 2302130981. The next prime is 2302131023. The reversal of 2302131012 is 2101312032.

2302131012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2302130982 and 2302131000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5196463 + ... + 5196905.

It is an arithmetic number, because the mean of its divisors is an integer number (58974300).

Almost surely, 22302131012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830766400).

2302131012 is an abundant number, since it is smaller than the sum of its proper divisors (3359401788).

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

2302131012 is a wasteful number, since it uses less digits than its factorization.

2302131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2302131012 is about 47980.5274251962. The cubic root of 2302131012 is about 1320.4136697053.

Adding to 2302131012 its reverse (2101312032), we get a palindrome (4403443044).

The spelling of 2302131012 in words is "two billion, three hundred two million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 109 116 137 174 218 274 327 348 411 436 443 548 654 822 886 1308 1329 1644 1772 2658 3161 3973 5316 6322 7946 9483 11919 12644 12847 14933 15892 18966 23838 25694 29866 37932 38541 44799 47676 48287 51388 59732 60691 77082 89598 96574 121382 144861 154164 179196 182073 193148 242764 289722 364146 433057 579444 728292 866114 1299171 1400323 1732228 1760039 2598342 2800646 3520078 4200969 5196684 5280117 5601292 6615319 7040156 8401938 10560234 13230638 16803876 19845957 21120468 26461276 39691914 79383828 191844251 383688502 575532753 767377004 1151065506 2302131012