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132213140 = 22531213247
BaseRepresentation
bin1111110000101…
…10100110010100
3100012210010022222
413320112212110
5232321310030
621041441512
73163536023
oct770264624
9305703288
10132213140
11686a3764
1238340298
1321511c37
14137b88ba
15b9193e5
hex7e16994

132213140 has 24 divisors (see below), whose sum is σ = 286605312. Its totient is φ = 51179040.

The previous prime is 132213073. The next prime is 132213143. The reversal of 132213140 is 41312231.

It is a super-3 number, since 3×1322131403 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106004 + ... + 107243.

It is an arithmetic number, because the mean of its divisors is an integer number (11941888).

Almost surely, 2132213140 is an apocalyptic number.

132213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213140 is an abundant number, since it is smaller than the sum of its proper divisors (154392172).

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

132213140 is a wasteful number, since it uses less digits than its factorization.

132213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213287 (or 213285 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 132213140 is about 11498.3972796212. The cubic root of 132213140 is about 509.4382383002.

Adding to 132213140 its reverse (41312231), we get a palindrome (173525371).

Subtracting from 132213140 its reverse (41312231), we obtain a palindrome (90900909).

It can be divided in two parts, 13221 and 3140, that added together give a palindrome (16361).

The spelling of 132213140 in words is "one hundred thirty-two million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 213247 426494 852988 1066235 2132470 4264940 6610657 13221314 26442628 33053285 66106570 132213140