Search a number
-
+
2113033020 = 2235717295943
BaseRepresentation
bin111110111110010…
…0101001100111100
312110021001012101020
41331330211030330
513311414024040
6545401344140
7103235325060
oct17574451474
95407035336
102113033020
1199482aa8a
124ab798050
13278a020c7
141608bdaa0
15c578dcd0
hex7df2533c

2113033020 has 96 divisors (see below), whose sum is σ = 7159477248. Its totient is φ = 454566912.

The previous prime is 2113032989. The next prime is 2113033049. The reversal of 2113033020 is 203303112.

It is a super-2 number, since 2×21130330202 = 8929817087220640800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 140832 + ... + 155111.

It is an arithmetic number, because the mean of its divisors is an integer number (74577888).

Almost surely, 22113033020 is an apocalyptic number.

2113033020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113033020 is an abundant number, since it is smaller than the sum of its proper divisors (5046444228).

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

2113033020 is a wasteful number, since it uses less digits than its factorization.

2113033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295979 (or 295977 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2113033020 is about 45967.7389045839. The cubic root of 2113033020 is about 1283.2228801698. Note that the first 3 decimals are identical.

Adding to 2113033020 its reverse (203303112), we get a palindrome (2316336132).

The spelling of 2113033020 in words is "two billion, one hundred thirteen million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 295943 591886 887829 1183772 1479715 1775658 2071601 2959430 3551316 4143202 4439145 5031031 5918860 6214803 8286404 8878290 10062062 10358005 12429606 15093093 17756580 20124124 20716010 24859212 25155155 30186186 31074015 35217217 41432020 50310310 60372372 62148030 70434434 75465465 100620620 105651651 124296060 140868868 150930930 176086085 211303302 301861860 352172170 422606604 528258255 704344340 1056516510 2113033020