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2320311132 = 2232437320533
BaseRepresentation
bin1000101001001101…
…0010001101011100
312222201002000111100
42022103102031130
514222444424012
61022124153100
7111333214326
oct21223221534
95881060440
102320311132
11a90834107
12549098790
132ac937089
14180238616
15d8a848dc
hex8a4d235c

2320311132 has 72 divisors (see below), whose sum is σ = 6084142064. Its totient is φ = 745065216.

The previous prime is 2320311131. The next prime is 2320311137. The reversal of 2320311132 is 2311130232.

2320311132 is a `hidden beast` number, since 2 + 320 + 311 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320311131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102738 + ... + 123270.

Almost surely, 22320311132 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 2320311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042071032).

2320311132 is an abundant number, since it is smaller than the sum of its proper divisors (3763830932).

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

2320311132 is a wasteful number, since it uses less digits than its factorization.

2320311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20659 (or 20654 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2320311132 is about 48169.6079701714. The cubic root of 2320311132 is about 1323.8803655712.

Adding to 2320311132 its reverse (2311130232), we get a palindrome (4631441364).

Subtracting from 2320311132 its reverse (2311130232), we obtain a square (9180900 = 30302).

The spelling of 2320311132 in words is "two billion, three hundred twenty million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 73 86 129 146 172 219 258 292 387 438 516 657 774 876 1314 1548 2628 3139 6278 9417 12556 18834 20533 28251 37668 41066 56502 61599 82132 113004 123198 184797 246396 369594 739188 882919 1498909 1765838 2648757 2997818 3531676 4496727 5297514 5995636 7946271 8993454 10595028 13490181 15892542 17986908 26980362 31785084 53960724 64453087 128906174 193359261 257812348 386718522 580077783 773437044 1160155566 2320311132