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2132132541 = 3721110912097
BaseRepresentation
bin111111100010101…
…1100001010111101
312111120222112222220
41333011130022331
513331311220131
6551322555553
7103556553600
oct17705341275
95446875886
102132132541
119a4595810
124b6068bb9
1327c95b6b6
14163252337
15c72b2e96
hex7f15c2bd

2132132541 has 48 divisors (see below), whose sum is σ = 3641014080. Its totient is φ = 1097349120.

The previous prime is 2132132521. The next prime is 2132132593. The reversal of 2132132541 is 1452312312.

It is not a de Polignac number, because 2132132541 - 27 = 2132132413 is a prime.

It is a super-2 number, since 2×21321325412 = 9091978344782233362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132132521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170205 + ... + 182301.

It is an arithmetic number, because the mean of its divisors is an integer number (75854460).

Almost surely, 22132132541 is an apocalyptic number.

2132132541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2132132541 is a deficient number, since it is larger than the sum of its proper divisors (1508881539).

2132132541 is a wasteful number, since it uses less digits than its factorization.

2132132541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234 (or 12227 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2132132541 is about 46175.0207471529. The cubic root of 2132132541 is about 1287.0776024239.

Adding to 2132132541 its reverse (1452312312), we get a palindrome (3584444853).

The spelling of 2132132541 in words is "two billion, one hundred thirty-two million, one hundred thirty-two thousand, five hundred forty-one".

Divisors: 1 3 7 11 21 33 49 77 109 147 231 327 539 763 1199 1617 2289 3597 5341 8393 12097 16023 25179 36291 58751 84679 133067 176253 254037 399201 592753 931469 1318573 1778259 2794407 3955719 6520283 9230011 14504303 19560849 27690033 43512909 64610077 101530121 193830231 304590363 710710847 2132132541