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2121040020 = 22351117189041
BaseRepresentation
bin111111001101100…
…1000000010010100
312110211002222220210
41332123020002110
513320441240040
6550245125420
7103363354101
oct17633100224
95424088823
102121040020
119992a9840
124b23b9870
1327a576788
141619a5aa8
15c6321480
hex7e6c8094

2121040020 has 96 divisors (see below), whose sum is σ = 6859956096. Its totient is φ = 483942400.

The previous prime is 2121039989. The next prime is 2121040027. The reversal of 2121040020 is 200401212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2121039978 and 2121040005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121040027) 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, 83301 + ... + 105740.

It is an arithmetic number, because the mean of its divisors is an integer number (71457876).

Almost surely, 22121040020 is an apocalyptic number.

2121040020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121040020 is an abundant number, since it is smaller than the sum of its proper divisors (4738916076).

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

2121040020 is a wasteful number, since it uses less digits than its factorization.

2121040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189081 (or 189079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2121040020 is about 46054.7502435959. The cubic root of 2121040020 is about 1284.8416929640.

Adding to 2121040020 its reverse (200401212), we get a palindrome (2321441232).

The spelling of 2121040020 in words is "two billion, one hundred twenty-one million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 189041 378082 567123 756164 945205 1134246 1890410 2079451 2268492 2835615 3213697 3780820 4158902 5671230 6238353 6427394 8317804 9641091 10397255 11342460 12476706 12854788 16068485 19282182 20794510 24953412 31191765 32136970 35350667 38564364 41589020 48205455 62383530 64273940 70701334 96410910 106052001 124767060 141402668 176753335 192821820 212104002 353506670 424208004 530260005 707013340 1060520010 2121040020