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2141131032 = 233229737931
BaseRepresentation
bin111111110011111…
…0001000100011000
312112012220201121100
41333213301010120
513341112143112
6552243511400
7104026212345
oct17747610430
95465821540
102141131032
119a9681487
124b9088560
1328178c451
141645157cc
15c7e8e2dc
hex7f9f1118

2141131032 has 24 divisors (see below), whose sum is σ = 5798896740. Its totient is φ = 713710320.

The previous prime is 2141131009. The next prime is 2141131037. The reversal of 2141131032 is 2301311412.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 2141130996 and 2141131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141131037) 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, 14868894 + ... + 14869037.

Almost surely, 22141131032 is an apocalyptic number.

It is an amenable number.

2141131032 is an abundant number, since it is smaller than the sum of its proper divisors (3657765708).

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

2141131032 is a wasteful number, since it uses less digits than its factorization.

2141131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29737943 (or 29737936 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2141131032 is about 46272.3571044312. The cubic root of 2141131032 is about 1288.8857297034.

Adding to 2141131032 its reverse (2301311412), we get a palindrome (4442442444).

The spelling of 2141131032 in words is "two billion, one hundred forty-one million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29737931 59475862 89213793 118951724 178427586 237903448 267641379 356855172 535282758 713710344 1070565516 2141131032