Search a number
-
+
2111202320 = 245297911519
BaseRepresentation
bin111110111010110…
…0110010000010000
312110010121012010112
41331311212100100
513310431433240
6545254220452
7103213631543
oct17565462020
95403535115
102111202320
1199379a607
124ab054728
13278510a56
1416056485a
15c552b665
hex7dd66410

2111202320 has 80 divisors (see below), whose sum is σ = 5142528000. Its totient is φ = 804969984.

The previous prime is 2111202319. The next prime is 2111202323. The reversal of 2111202320 is 232021112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2111202295 and 2111202304.

It is not an unprimeable number, because it can be changed into a prime (2111202323) 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, 177521 + ... + 189039.

It is an arithmetic number, because the mean of its divisors is an integer number (64281600).

Almost surely, 22111202320 is an apocalyptic number.

2111202320 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 2111202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571264000).

2111202320 is an abundant number, since it is smaller than the sum of its proper divisors (3031325680).

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

2111202320 is a wasteful number, since it uses less digits than its factorization.

2111202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11640 (or 11634 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2111202320 is about 45947.8217111541. The cubic root of 2111202320 is about 1282.8521847654.

Adding to 2111202320 its reverse (232021112), we get a palindrome (2343223432).

The spelling of 2111202320 in words is "two billion, one hundred eleven million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 79 80 116 145 158 232 290 316 395 464 580 632 790 1160 1264 1580 2291 2320 3160 4582 6320 9164 11455 11519 18328 22910 23038 36656 45820 46076 57595 91640 92152 115190 183280 184304 230380 334051 460760 668102 910001 921520 1336204 1670255 1820002 2672408 3340510 3640004 4550005 5344816 6681020 7280008 9100010 13362040 14560016 18200020 26390029 26724080 36400040 52780058 72800080 105560116 131950145 211120232 263900290 422240464 527800580 1055601160 2111202320