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2131220320 = 255109122203
BaseRepresentation
bin111111100000111…
…1101011101100000
312111112021012122221
41333001331131200
513331043022240
6551251240424
7103546034215
oct17701753540
95445235587
102131220320
119a4022409
124b58a9114
1327c6cc418
14163095b0c
15c7182a4a
hex7f07d760

2131220320 has 48 divisors (see below), whose sum is σ = 5081242320. Its totient is φ = 844660224.

The previous prime is 2131220263. The next prime is 2131220321. The reversal of 2131220320 is 230221312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2131220294 and 2131220303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131220321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43662 + ... + 78541.

It is an arithmetic number, because the mean of its divisors is an integer number (105859215).

Almost surely, 22131220320 is an apocalyptic number.

2131220320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131220320 is an abundant number, since it is smaller than the sum of its proper divisors (2950022000).

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

2131220320 is a wasteful number, since it uses less digits than its factorization.

2131220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122327 (or 122319 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2131220320 is about 46165.1418280070. The cubic root of 2131220320 is about 1286.8940199185.

Adding to 2131220320 its reverse (230221312), we get a palindrome (2361441632).

The spelling of 2131220320 in words is "two billion, one hundred thirty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4360 8720 17440 122203 244406 488812 611015 977624 1222030 1955248 2444060 3910496 4888120 9776240 13320127 19552480 26640254 53280508 66600635 106561016 133201270 213122032 266402540 426244064 532805080 1065610160 2131220320