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132213020 = 22519347929
BaseRepresentation
bin1111110000101…
…10100100011100
3100012210010011112
413320112210130
5232321304040
621041441152
73163535462
oct770264434
9305703145
10132213020
11686a3665
12383401b8
1321511b74
14137b8832
15b919365
hex7e1691c

132213020 has 24 divisors (see below), whose sum is σ = 292261200. Its totient is φ = 50101632.

The previous prime is 132213007. The next prime is 132213031. The reversal of 132213020 is 20312231.

It is a happy number.

It is a super-3 number, since 3×1322130203 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132212986 and 132213004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173585 + ... + 174344.

It is an arithmetic number, because the mean of its divisors is an integer number (12177550).

Almost surely, 2132213020 is an apocalyptic number.

132213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213020 is an abundant number, since it is smaller than the sum of its proper divisors (160048180).

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

132213020 is a wasteful number, since it uses less digits than its factorization.

132213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347957 (or 347955 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132213020 is about 11498.3920615015. The cubic root of 132213020 is about 509.4380841738.

Adding to 132213020 its reverse (20312231), we get a palindrome (152525251).

The spelling of 132213020 in words is "one hundred thirty-two million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 347929 695858 1391716 1739645 3479290 6610651 6958580 13221302 26442604 33053255 66106510 132213020