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2131141024 = 25532335393
BaseRepresentation
bin111111100000110…
…1010000110100000
312111112010011220001
41333001222012200
513331033003044
6551245425344
7103545254065
oct17701520640
95445104801
102131141024
119a3a78881
124b586b254
1327c6a22bc
14163074c6c
15c71692d4
hex7f06a1a0

2131141024 has 48 divisors (see below), whose sum is σ = 4293990792. Its totient is φ = 1040785408.

The previous prime is 2131140989. The next prime is 2131141037. The reversal of 2131141024 is 4201411312.

It can be written as a sum of positive squares in 4 ways, for example, as 2081184400 + 49956624 = 45620^2 + 7068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2131140992 and 2131141010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392472 + ... + 397864.

Almost surely, 22131141024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146995396).

2131141024 is an abundant number, since it is smaller than the sum of its proper divisors (2162849768).

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

2131141024 is a wasteful number, since it uses less digits than its factorization.

2131141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2131141024 is about 46164.2829902079. The cubic root of 2131141024 is about 1286.8780592953.

Adding to 2131141024 its reverse (4201411312), we get a palindrome (6332552336).

The spelling of 2131141024 in words is "two billion, one hundred thirty-one million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 53 106 212 233 424 466 848 932 1696 1864 3728 5393 7456 10786 12349 21572 24698 43144 49396 86288 98792 172576 197584 285829 395168 571658 1143316 1256569 2286632 2513138 4573264 5026276 9146528 10052552 20105104 40210208 66598157 133196314 266392628 532785256 1065570512 2131141024