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132213042 = 23213565013
BaseRepresentation
bin1111110000101…
…10100100110010
3100012210010012100
413320112210302
5232321304132
621041441230
73163535523
oct770264462
9305703170
10132213042
11686a3685
1238340216
1321511b90
14137b884a
15b91937c
hex7e16932

132213042 has 24 divisors (see below), whose sum is σ = 308497644. Its totient is φ = 40680864.

The previous prime is 132213031. The next prime is 132213071. The reversal of 132213042 is 240312231.

It can be written as a sum of positive squares in 2 ways, for example, as 130165281 + 2047761 = 11409^2 + 1431^2 .

It is a super-3 number, since 3×1322130423 (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282273 + ... + 282740.

Almost surely, 2132213042 is an apocalyptic number.

132213042 is an abundant number, since it is smaller than the sum of its proper divisors (176284602).

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

132213042 is a wasteful number, since it uses less digits than its factorization.

132213042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565034 (or 565031 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132213042 is about 11498.3930181569. The cubic root of 132213042 is about 509.4381124304.

Adding to 132213042 its reverse (240312231), we get a palindrome (372525273).

The spelling of 132213042 in words is "one hundred thirty-two million, two hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 565013 1130026 1695039 3390078 5085117 7345169 10170234 14690338 22035507 44071014 66106521 132213042