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2123113020 = 223577369247
BaseRepresentation
bin111111010001100…
…0010001000111100
312110222000022112120
41332203002020330
513322004104040
6550401402540
7103420106610
oct17643021074
95428008476
102123113020
1199a495266
124b3039450
1327ab211c2
14161d85340
15c65d07d0
hex7e8c223c

2123113020 has 96 divisors (see below), whose sum is σ = 6887129088. Its totient is φ = 478628352.

The previous prime is 2123113007. The next prime is 2123113037. The reversal of 2123113020 is 203113212.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3964 + ... + 65283.

It is an arithmetic number, because the mean of its divisors is an integer number (71740928).

Almost surely, 22123113020 is an apocalyptic number.

2123113020 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 2123113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443564544).

2123113020 is an abundant number, since it is smaller than the sum of its proper divisors (4764016068).

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

2123113020 is a wasteful number, since it uses less digits than its factorization.

2123113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69339 (or 69337 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2123113020 is about 46077.2505690172. The cubic root of 2123113020 is about 1285.2601369912.

Adding to 2123113020 its reverse (203113212), we get a palindrome (2326226232).

The spelling of 2123113020 in words is "two billion, one hundred twenty-three million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 140 146 210 219 292 365 420 438 511 730 876 1022 1095 1460 1533 2044 2190 2555 3066 4380 5110 6132 7665 10220 15330 30660 69247 138494 207741 276988 346235 415482 484729 692470 830964 969458 1038705 1384940 1454187 1938916 2077410 2423645 2908374 4154820 4847290 5055031 5816748 7270935 9694580 10110062 14541870 15165093 20220124 25275155 29083740 30330186 35385217 50550310 60660372 70770434 75825465 101100620 106155651 141540868 151650930 176926085 212311302 303301860 353852170 424622604 530778255 707704340 1061556510 2123113020