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2121000020 = 2251947118757
BaseRepresentation
bin111111001101011…
…1110010001010100
312110211000222001022
41332122332101110
513320434000040
6550244220312
7103363126346
oct17632762124
95424028038
102121000020
11999281787
124b239a698
1327a5614c9
14161995296
15c63146b5
hex7e6be454

2121000020 has 48 divisors (see below), whose sum is σ = 4788322560. Its totient is φ = 786639744.

The previous prime is 2120999989. The next prime is 2121000023. The reversal of 2121000020 is 200001212.

It is a junction number, because it is equal to n+sod(n) for n = 2120999971 and 2121000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41519 + ... + 77238.

It is an arithmetic number, because the mean of its divisors is an integer number (99756720).

Almost surely, 22121000020 is an apocalyptic number.

2121000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121000020 is an abundant number, since it is smaller than the sum of its proper divisors (2667322540).

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

2121000020 is a wasteful number, since it uses less digits than its factorization.

2121000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118832 (or 118830 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2121000020 is about 46054.3159758127. The cubic root of 2121000020 is about 1284.8336161101.

Adding to 2121000020 its reverse (200001212), we get a palindrome (2321001232).

The spelling of 2121000020 in words is "two billion, one hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 8930 17860 118757 237514 475028 593785 1187570 2256383 2375140 4512766 5581579 9025532 11163158 11281915 22326316 22563830 27907895 45127660 55815790 106050001 111631580 212100002 424200004 530250005 1060500010 2121000020