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2025131020 = 2251122832957
BaseRepresentation
bin111100010110101…
…0000110000001100
312020010122022111121
41320231100300030
513121413143040
6532541330324
7101120221033
oct17055206014
95203568447
102025131020
1194a151a00
124862669a4
132637360a3
14152d5b71a
15bcbc8c4a
hex78b50c0c

2025131020 has 72 divisors (see below), whose sum is σ = 4692642192. Its totient is φ = 733560960.

The previous prime is 2025130981. The next prime is 2025131057. The reversal of 2025131020 is 201315202.

It is a junction number, because it is equal to n+sod(n) for n = 2025130985 and 2025131003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683382 + ... + 686338.

It is an arithmetic number, because the mean of its divisors is an integer number (65175586).

Almost surely, 22025131020 is an apocalyptic number.

2025131020 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 2025131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346321096).

2025131020 is an abundant number, since it is smaller than the sum of its proper divisors (2667511172).

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

2025131020 is a wasteful number, since it uses less digits than its factorization.

2025131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2025131020 is about 45001.4557542309. The cubic root of 2025131020 is about 1265.1762829315.

Adding to 2025131020 its reverse (201315202), we get a palindrome (2226446222).

The spelling of 2025131020 in words is "two billion, twenty-five million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 283 484 566 605 1132 1210 1415 2420 2830 2957 3113 5660 5914 6226 11828 12452 14785 15565 29570 31130 32527 34243 59140 62260 65054 68486 130108 136972 162635 171215 325270 342430 357797 650540 684860 715594 836831 1431188 1673662 1788985 3347324 3577970 4184155 7155940 8368310 9205141 16736620 18410282 36820564 46025705 92051410 101256551 184102820 202513102 405026204 506282755 1012565510 2025131020