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2113320020 = 225728112659
BaseRepresentation
bin111110111110110…
…1011010001010100
312110021120210001212
41331331223101110
513312002220040
6545411440552
7103240631600
oct17575532124
95407523055
102113320020
11994a06679
124ab8b6158
13278aa2926
14160956500
15c57e8d65
hex7df6b454

2113320020 has 72 divisors (see below), whose sum is σ = 5170848480. Its totient is φ = 723401280.

The previous prime is 2113319983. The next prime is 2113320029. The reversal of 2113320020 is 200233112.

It is a happy number.

It is a super-2 number, since 2×21133200202 = 8932243013865600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2113319977 and 2113320004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113320029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793451 + ... + 796109.

It is an arithmetic number, because the mean of its divisors is an integer number (71817340).

Almost surely, 22113320020 is an apocalyptic number.

2113320020 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 2113320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585424240).

2113320020 is an abundant number, since it is smaller than the sum of its proper divisors (3057528460).

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

2113320020 is a wasteful number, since it uses less digits than its factorization.

2113320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3484 counting only the distinct ones).

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

The square root of 2113320020 is about 45970.8605531809. The cubic root of 2113320020 is about 1283.2809749070.

Adding to 2113320020 its reverse (200233112), we get a palindrome (2313553132).

The spelling of 2113320020 in words is "two billion, one hundred thirteen million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 811 980 1622 2659 3244 4055 5318 5677 8110 10636 11354 13295 16220 18613 22708 26590 28385 37226 39739 53180 56770 74452 79478 93065 113540 130291 158956 186130 198695 260582 372260 397390 521164 651455 794780 1302910 2156449 2605820 4312898 8625796 10782245 15095143 21564490 30190286 43128980 60380572 75475715 105666001 150951430 211332002 301902860 422664004 528330005 1056660010 2113320020