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2113021620 = 2233513992797
BaseRepresentation
bin111110111110010…
…0010011010110100
312110021000121202000
41331330202122310
513311413142440
6545401215300
7103235246613
oct17574423264
95407017660
102113021620
11994822466
124ab791530
132789c9b68
141608b987a
15c578a730
hex7df226b4

2113021620 has 96 divisors (see below), whose sum is σ = 6580896000. Its totient is φ = 562868352.

The previous prime is 2113021583. The next prime is 2113021627. The reversal of 2113021620 is 261203112.

2113021620 is a `hidden beast` number, since 2 + 11 + 30 + 2 + 1 + 620 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2113021593 and 2113021602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113021627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754062 + ... + 756858.

It is an arithmetic number, because the mean of its divisors is an integer number (68551000).

Almost surely, 22113021620 is an apocalyptic number.

2113021620 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 2113021620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290448000).

2113021620 is an abundant number, since it is smaller than the sum of its proper divisors (4467874380).

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

2113021620 is a wasteful number, since it uses less digits than its factorization.

2113021620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2113021620 is about 45967.6149044085. The cubic root of 2113021620 is about 1283.2205724654.

Adding to 2113021620 its reverse (261203112), we get a palindrome (2374224732).

The spelling of 2113021620 in words is "two billion, one hundred thirteen million, twenty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1399 2797 2798 4197 5594 5596 6995 8391 8394 11188 12591 13985 13990 16782 16788 20985 25173 25182 27970 27980 33564 37773 41955 41970 50346 50364 55940 62955 75519 75546 83910 83940 100692 125865 125910 151038 151092 167820 188865 251730 251820 302076 377595 377730 503460 755190 755460 1510380 3913003 7826006 11739009 15652012 19565015 23478018 35217027 39130030 46956036 58695045 70434054 78260060 105651081 117390090 140868108 176085135 211302162 234780180 352170270 422604324 528255405 704340540 1056510810 2113021620