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2135331132 = 22311232979307
BaseRepresentation
bin111111101000110…
…1001000100111100
312111211000001122020
41333101221010330
513333121044012
6551515320140
7103626005124
oct17721510474
95454001566
102135331132
119a637a980
124b7150050
1328050b55c
14163845c84
15c76e5a8c
hex7f46913c

2135331132 has 192 divisors, whose sum is σ = 5960908800. Its totient is φ = 588107520.

The previous prime is 2135331089. The next prime is 2135331157. The reversal of 2135331132 is 2311335312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6955323 + ... + 6955629.

It is an arithmetic number, because the mean of its divisors is an integer number (31046400).

Almost surely, 22135331132 is an apocalyptic number.

2135331132 is a gapful number since it is divisible by the number (22) 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 2135331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980454400).

2135331132 is an abundant number, since it is smaller than the sum of its proper divisors (3825577668).

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

2135331132 is a wasteful number, since it uses less digits than its factorization.

2135331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 2135331132 is about 46209.6432792983. The cubic root of 2135331132 is about 1287.7208985606.

Adding to 2135331132 its reverse (2311335312), we get a palindrome (4446666444).

The spelling of 2135331132 in words is "two billion, one hundred thirty-five million, three hundred thirty-one thousand, one hundred thirty-two".