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2141114112 = 2832929303
BaseRepresentation
bin111111110011110…
…1100111100000000
312112012212212101200
41333213230330000
513341111122422
6552243301200
7104026112124
oct17747547400
95465785350
102141114112
119a966a7a5
124b907a800
13281784837
1416450d584
15c7e892ac
hex7f9ecf00

2141114112 has 54 divisors (see below), whose sum is σ = 6173366472. Its totient is φ = 713703936.

The previous prime is 2141114111. The next prime is 2141114117. The reversal of 2141114112 is 2114111412.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141114111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 462348 + ... + 466955.

Almost surely, 22141114112 is an apocalyptic number.

It is an amenable number.

2141114112 is an abundant number, since it is smaller than the sum of its proper divisors (4032252360).

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

2141114112 is an equidigital number, since it uses as much as digits as its factorization.

2141114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929325 (or 929308 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 2141114112 is about 46272.1742735307. The cubic root of 2141114112 is about 1288.8823346124.

Adding to 2141114112 its reverse (2114111412), we get a palindrome (4255225524).

The spelling of 2141114112 in words is "two billion, one hundred forty-one million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 929303 1858606 2787909 3717212 5575818 7434424 8363727 11151636 14868848 16727454 22303272 29737696 33454908 44606544 59475392 66909816 89213088 118950784 133819632 178426176 237901568 267639264 356852352 535278528 713704704 1070557056 2141114112