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2131000320 = 21035178161
BaseRepresentation
bin111111100000100…
…0111110000000000
312111111212000212210
41333001013300000
513331014002240
6551242422120
7103544126631
oct17701076000
95444760783
102131000320
119a3992099
124b5801940
1327c653247
14163039888
15c713c780
hex7f047c00

2131000320 has 176 divisors, whose sum is σ = 7217689248. Its totient is φ = 534773760.

The previous prime is 2131000307. The next prime is 2131000331. The reversal of 2131000320 is 230001312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2131000296 and 2131000305.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 257040 + ... + 265200.

It is an arithmetic number, because the mean of its divisors is an integer number (41009598).

Almost surely, 22131000320 is an apocalyptic number.

2131000320 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 2131000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608844624).

2131000320 is an abundant number, since it is smaller than the sum of its proper divisors (5086688928).

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

2131000320 is a wasteful number, since it uses less digits than its factorization.

2131000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8206 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2131000320 is about 46162.7590163326. The cubic root of 2131000320 is about 1286.8497375538.

Adding to 2131000320 its reverse (230001312), we get a palindrome (2361001632).

The spelling of 2131000320 in words is "two billion, one hundred thirty-one million, three hundred twenty", and thus it is an aban number.