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2131230400 = 265213791297
BaseRepresentation
bin111111100000111…
…1111111011000000
312111112021201111021
41333001333323000
513331043333100
6551251355224
7103546105465
oct17701777300
95445251437
102131230400
119a4029a42
124b58b2b14
1327c703ba0
1416309966c
15c7185a1a
hex7f07fec0

2131230400 has 168 divisors, whose sum is σ = 5723453120. Its totient is φ = 776355840.

The previous prime is 2131230397. The next prime is 2131230419. The reversal of 2131230400 is 40321312.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1642552 + ... + 1643848.

Almost surely, 22131230400 is an apocalyptic number.

2131230400 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 2131230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861726560).

2131230400 is an abundant number, since it is smaller than the sum of its proper divisors (3592222720).

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

2131230400 is a wasteful number, since it uses less digits than its factorization.

2131230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1396 counting only the distinct ones).

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

The square root of 2131230400 is about 46165.2510011589. The cubic root of 2131230400 is about 1286.8960487830.

Adding to 2131230400 its reverse (40321312), we get a palindrome (2171551712).

The spelling of 2131230400 in words is "two billion, one hundred thirty-one million, two hundred thirty thousand, four hundred".