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2141000112 = 243193123099
BaseRepresentation
bin111111110011101…
…0001000110110000
312112012200002000110
41333213101012300
513341044000422
6552241021320
7104025125556
oct17747210660
95465602013
102141000112
119a95a2089
124b9024840
13281744994
141644bdbd6
15c7e6560c
hex7f9d11b0

2141000112 has 40 divisors (see below), whose sum is σ = 5534020800. Its totient is φ = 713266240.

The previous prime is 2141000107. The next prime is 2141000117. The reversal of 2141000112 is 2110001412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2141000107) and next prime (2141000117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2141000117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 81139 + ... + 104237.

It is an arithmetic number, because the mean of its divisors is an integer number (138350520).

Almost surely, 22141000112 is an apocalyptic number.

It is an amenable number.

2141000112 is an abundant number, since it is smaller than the sum of its proper divisors (3393020688).

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

2141000112 is a wasteful number, since it uses less digits than its factorization.

2141000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25041 (or 25035 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2141000112 is about 46270.9424152999. The cubic root of 2141000112 is about 1288.8594594196.

Adding to 2141000112 its reverse (2110001412), we get a palindrome (4251001524).

The spelling of 2141000112 in words is "two billion, one hundred forty-one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 1931 3862 5793 7724 11586 15448 23099 23172 30896 46198 46344 69297 92396 92688 138594 184792 277188 369584 554376 1108752 44604169 89208338 133812507 178416676 267625014 356833352 535250028 713666704 1070500056 2141000112