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2113320330 = 2325112717877
BaseRepresentation
bin111110111110110…
…1011010110001010
312110021120210111100
41331331223112022
513312002222310
6545411442230
7103240632522
oct17575532612
95407523440
102113320330
11994a06930
124ab8b6376
13278aa2b04
14160956682
15c57e8ec0
hex7df6b58a

2113320330 has 96 divisors (see below), whose sum is σ = 6017027328. Its totient is φ = 510364800.

The previous prime is 2113320281. The next prime is 2113320331. The reversal of 2113320330 is 330233112.

2113320330 is a `hidden beast` number, since 2 + 1 + 1 + 332 + 0 + 330 = 666.

It is a super-2 number, since 2×21133203302 = 8932245634382617800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2113320331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264352 + ... + 272228.

It is an arithmetic number, because the mean of its divisors is an integer number (62677368).

Almost surely, 22113320330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008513664).

2113320330 is an abundant number, since it is smaller than the sum of its proper divisors (3903706998).

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

2113320330 is a wasteful number, since it uses less digits than its factorization.

2113320330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8172 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2113320330 is about 45970.8639248818. The cubic root of 2113320330 is about 1283.2810376546.

Adding to 2113320330 its reverse (330233112), we get a palindrome (2443553442).

The spelling of 2113320330 in words is "two billion, one hundred thirteen million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 271 330 495 542 813 990 1355 1626 2439 2710 2981 4065 4878 5962 7877 8130 8943 12195 14905 15754 17886 23631 24390 26829 29810 39385 44715 47262 53658 70893 78770 86647 89430 118155 134145 141786 173294 236310 259941 268290 354465 433235 519882 708930 779823 866470 1299705 1559646 2134667 2599410 3899115 4269334 6404001 7798230 10673335 12808002 19212003 21346670 23481337 32020005 38424006 46962674 64040010 70444011 96060015 117406685 140888022 192120030 211332033 234813370 352220055 422664066 704440110 1056660165 2113320330