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2132042310112 = 25111317232103503
BaseRepresentation
bin11111000001100111100…
…111111110000111100000
321112211011200202012101011
4133001213213332013200
5234412410312410422
64311240253550304
7310014665423221
oct37014747760740
97484150665334
102132042310112
11752215335810
122a52547a5394
131260875a8410
14752972a9248
153a6d52b0077
hex1f0679fe1e0

2132042310112 has 576 divisors, whose sum is σ = 5522189976576. Its totient is φ = 795931361280.

The previous prime is 2132042310109. The next prime is 2132042310149. The reversal of 2132042310112 is 2110132402312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4238652453 + ... + 4238652955.

It is an arithmetic number, because the mean of its divisors is an integer number (9587135376).

Almost surely, 22132042310112 is an apocalyptic number.

2132042310112 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 2132042310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761094988288).

2132042310112 is an abundant number, since it is smaller than the sum of its proper divisors (3390147666464).

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

2132042310112 is a wasteful number, since it uses less digits than its factorization.

2132042310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2132042310112 its reverse (2110132402312), we get a palindrome (4242174712424).

The spelling of 2132042310112 in words is "two trillion, one hundred thirty-two billion, forty-two million, three hundred ten thousand, one hundred twelve".