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2130410020 = 2254110932377
BaseRepresentation
bin111111011111011…
…0111101000100100
312111110202001010211
41332332313220210
513330341110040
6551222025204
7103536120634
oct17676675044
95443661124
102130410020
119a3619642
124b5578204
1327c4a765b
14162d246c4
15c70728ea
hex7efb7a24

2130410020 has 48 divisors (see below), whose sum is σ = 4589102448. Its totient is φ = 830269440.

The previous prime is 2130409997. The next prime is 2130410033. The reversal of 2130410020 is 200140312.

It can be written as a sum of positive squares in 8 ways, for example, as 11464996 + 2118945024 = 3386^2 + 46032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895072 + ... + 897448.

It is an arithmetic number, because the mean of its divisors is an integer number (95606301).

Almost surely, 22130410020 is an apocalyptic number.

2130410020 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 2130410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294551224).

2130410020 is an abundant number, since it is smaller than the sum of its proper divisors (2458692428).

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

2130410020 is a wasteful number, since it uses less digits than its factorization.

2130410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2130410020 is about 46156.3648915293. The cubic root of 2130410020 is about 1286.7309048559.

Adding to 2130410020 its reverse (200140312), we get a palindrome (2330550332).

The spelling of 2130410020 in words is "two billion, one hundred thirty million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1093 2186 2377 4372 4754 5465 9508 10930 11885 21860 23770 44813 47540 89626 97457 179252 194914 224065 389828 448130 487285 896260 974570 1949140 2598061 5196122 10392244 12990305 25980610 51961220 106520501 213041002 426082004 532602505 1065205010 2130410020