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2140202112 = 27340913627
BaseRepresentation
bin111111110010000…
…1110010010000000
312112011011112100220
41333210032102000
513340342431422
6552211543040
7104015263206
oct17744162200
95464145326
102140202112
119a90a7584
124b88baa80
132815256a9
14164353076
15c7d58e5c
hex7f90e480

2140202112 has 64 divisors (see below), whose sum is σ = 5699229600. Its totient is φ = 711604224.

The previous prime is 2140202111. The next prime is 2140202143. The reversal of 2140202112 is 2112020412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2140202091 and 2140202100.

It is not an unprimeable number, because it can be changed into a prime (2140202111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150243 + ... + 163869.

Almost surely, 22140202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849614800).

2140202112 is an abundant number, since it is smaller than the sum of its proper divisors (3559027488).

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

2140202112 is a wasteful number, since it uses less digits than its factorization.

2140202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14053 (or 14041 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2140202112 is about 46262.3184892413. The cubic root of 2140202112 is about 1288.6993103297.

Adding to 2140202112 its reverse (2112020412), we get a palindrome (4252222524).

The spelling of 2140202112 in words is "two billion, one hundred forty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 409 818 1227 1636 2454 3272 4908 6544 9816 13088 13627 19632 26176 27254 39264 40881 52352 54508 78528 81762 109016 157056 163524 218032 327048 436064 654096 872128 1308192 1744256 2616384 5232768 5573443 11146886 16720329 22293772 33440658 44587544 66881316 89175088 133762632 178350176 267525264 356700352 535050528 713400704 1070101056 2140202112