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2132111304 = 2332173183677
BaseRepresentation
bin111111100010101…
…0110111111001000
312111120221110212100
41333011112333020
513331310030204
6551322313400
7103556434641
oct17705267710
95446843770
102132111304
119a4580864
124b6058860
1327c951b2b
141632486c8
15c72aba39
hex7f156fc8

2132111304 has 192 divisors, whose sum is σ = 6396848640. Its totient is φ = 638576640.

The previous prime is 2132111299. The next prime is 2132111309. The reversal of 2132111304 is 4031112312.

It is an interprime number because it is at equal distance from previous prime (2132111299) and next prime (2132111309).

It is a super-2 number, since 2×21321113042 = 9091797225289160832, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2132111309) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3149014 + ... + 3149690.

It is an arithmetic number, because the mean of its divisors is an integer number (33316920).

Almost surely, 22132111304 is an apocalyptic number.

2132111304 is a gapful number since it is divisible by the number (24) 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 2132111304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198424320).

2132111304 is an abundant number, since it is smaller than the sum of its proper divisors (4264737336).

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

2132111304 is a wasteful number, since it uses less digits than its factorization.

2132111304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2132111304 is about 46174.7907845829. The cubic root of 2132111304 is about 1287.0733291190.

Adding to 2132111304 its reverse (4031112312), we get a palindrome (6163223616).

The spelling of 2132111304 in words is "two billion, one hundred thirty-two million, one hundred eleven thousand, three hundred four".