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2113330340 = 2251122930113
BaseRepresentation
bin111110111110110…
…1101110010100100
312110021121022020002
41331331231302210
513312003032330
6545412000432
7103241003642
oct17575556244
95407538202
102113330340
11994a13400
124ab900118
13278aa7534
1416095a192
15c57ebe45
hex7df6dca4

2113330340 has 72 divisors (see below), whose sum is σ = 5046504120. Its totient is φ = 741959680.

The previous prime is 2113330319. The next prime is 2113330379. The reversal of 2113330340 is 430333112.

It can be written as a sum of positive squares in 4 ways, for example, as 661415524 + 1451914816 = 25718^2 + 38104^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55124 + ... + 85236.

It is an arithmetic number, because the mean of its divisors is an integer number (70090335).

Almost surely, 22113330340 is an apocalyptic number.

2113330340 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 2113330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523252060).

2113330340 is an abundant number, since it is smaller than the sum of its proper divisors (2933173780).

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

2113330340 is a wasteful number, since it uses less digits than its factorization.

2113330340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30173 (or 30160 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2113330340 is about 45970.9727980603. The cubic root of 2113330340 is about 1283.2830637906.

Adding to 2113330340 its reverse (430333112), we get a palindrome (2543663452).

The spelling of 2113330340 in words is "two billion, one hundred thirteen million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 484 580 605 638 1210 1276 1595 2420 3190 3509 6380 7018 14036 17545 30113 35090 60226 70180 120452 150565 301130 331243 602260 662486 873277 1324972 1656215 1746554 3312430 3493108 3643673 4366385 6624860 7287346 8732770 9606047 14574692 17465540 18218365 19212094 36436730 38424188 48030235 72873460 96060470 105666517 192120940 211333034 422666068 528332585 1056665170 2113330340