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2121002020 = 2253110133871
BaseRepresentation
bin111111001101011…
…1110110000100100
312110211001001210101
41332122332300210
513320434031040
6550244233444
7103363135234
oct17632766044
95424031711
102121002020
11999283235
124b239b884
1327a5623a7
14161995cc4
15c631509a
hex7e6bec24

2121002020 has 48 divisors (see below), whose sum is σ = 4643444736. Its totient is φ = 812880000.

The previous prime is 2121002011. The next prime is 2121002027. The reversal of 2121002020 is 202001212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2121001988 and 2121002006.

It is not an unprimeable number, because it can be changed into a prime (2121002027) 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, 45685 + ... + 79555.

It is an arithmetic number, because the mean of its divisors is an integer number (96738432).

Almost surely, 22121002020 is an apocalyptic number.

2121002020 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 2121002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321722368).

2121002020 is an abundant number, since it is smaller than the sum of its proper divisors (2522442716).

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

2121002020 is a wasteful number, since it uses less digits than its factorization.

2121002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34012 (or 34010 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2121002020 is about 46054.3376892991. The cubic root of 2121002020 is about 1284.8340199552.

Adding to 2121002020 its reverse (202001212), we get a palindrome (2323003232).

The spelling of 2121002020 in words is "two billion, one hundred twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 2020 3131 6262 12524 15655 31310 33871 62620 67742 135484 169355 338710 677420 1050001 2100002 3420971 4200004 5250005 6841942 10500010 13683884 17104855 21000020 34209710 68419420 106050101 212100202 424200404 530250505 1060501010 2121002020