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2131032340 = 22523712919
BaseRepresentation
bin111111100000100…
…1111100100010100
312111111220122210201
41333001033210110
513331021013330
6551243230244
7103544322163
oct17701174424
95444818721
102131032340
119a3a04158
124b5818384
1327c6649a8
141630473da
15c7146eca
hex7f04f914

2131032340 has 72 divisors (see below), whose sum is σ = 4741591680. Its totient is φ = 802992960.

The previous prime is 2131032307. The next prime is 2131032373. The reversal of 2131032340 is 432301312.

It is an interprime number because it is at equal distance from previous prime (2131032307) and next prime (2131032373).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2318401 + ... + 2319319.

It is an arithmetic number, because the mean of its divisors is an integer number (65855440).

Almost surely, 22131032340 is an apocalyptic number.

2131032340 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 2131032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370795840).

2131032340 is an abundant number, since it is smaller than the sum of its proper divisors (2610559340).

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

2131032340 is a wasteful number, since it uses less digits than its factorization.

2131032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2131032340 is about 46163.1058313888. The cubic root of 2131032340 is about 1286.8561828402.

Adding to 2131032340 its reverse (432301312), we get a palindrome (2563333652).

The spelling of 2131032340 in words is "two billion, one hundred thirty-one million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 284 355 460 710 919 1420 1633 1838 3266 3676 4595 5041 6532 8165 9190 10082 16330 18380 20164 21137 25205 32660 42274 50410 65249 84548 100820 105685 115943 130498 211370 231886 260996 326245 422740 463772 579715 652490 1159430 1304980 1500727 2318860 3001454 4632679 6002908 7503635 9265358 15007270 18530716 23163395 30014540 46326790 92653580 106551617 213103234 426206468 532758085 1065516170 2131032340