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2132114112 = 26323701587
BaseRepresentation
bin111111100010101…
…0111101011000000
312111120221121201100
41333011113223000
513331310122422
6551322334400
7103556446062
oct17705275300
95446847640
102132114112
119a4582987
124b605a400
1327c9531ab
14163249732
15c72ac7ac
hex7f157ac0

2132114112 has 42 divisors (see below), whose sum is σ = 6111321788. Its totient is φ = 710704512.

The previous prime is 2132114081. The next prime is 2132114119. The reversal of 2132114112 is 2114112312.

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 not an unprimeable number, because it can be changed into a prime (2132114119) 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 5 ways as a sum of consecutive naturals, for example, 1850218 + ... + 1851369.

Almost surely, 22132114112 is an apocalyptic number.

It is an amenable number.

2132114112 is an abundant number, since it is smaller than the sum of its proper divisors (3979207676).

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

2132114112 is a wasteful number, since it uses less digits than its factorization.

2132114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701605 (or 3701592 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2132114112 is about 46174.8211907745. The cubic root of 2132114112 is about 1287.0738941458.

Adding to 2132114112 its reverse (2114112312), we get a palindrome (4246226424).

The spelling of 2132114112 in words is "two billion, one hundred thirty-two 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 96 144 192 288 576 3701587 7403174 11104761 14806348 22209522 29612696 33314283 44419044 59225392 66628566 88838088 118450784 133257132 177676176 236901568 266514264 355352352 533028528 710704704 1066057056 2132114112