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132130020 = 2235111071871
BaseRepresentation
bin1111110000000…
…10010011100100
3100012121220022110
413320002103210
5232311130040
621040001020
73163041501
oct770022344
9305556273
10132130020
1168647270
1238300170
13214b3159
14137964a8
15b8ee980
hex7e024e4

132130020 has 96 divisors (see below), whose sum is σ = 407586816. Its totient is φ = 31715200.

The previous prime is 132129989. The next prime is 132130027. The reversal of 132130020 is 20031231.

It is a happy number.

132130020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132129978 and 132130005.

It is not an unprimeable number, because it can be changed into a prime (132130027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69685 + ... + 71555.

It is an arithmetic number, because the mean of its divisors is an integer number (4245696).

Almost surely, 2132130020 is an apocalyptic number.

132130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).

132130020 is an abundant number, since it is smaller than the sum of its proper divisors (275456796).

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

132130020 is a wasteful number, since it uses less digits than its factorization.

132130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132130020 is about 11494.7822945891. The cubic root of 132130020 is about 509.3314577306.

Adding to 132130020 its reverse (20031231), we get a palindrome (152161251).

The spelling of 132130020 in words is "one hundred thirty-two million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 132 165 214 220 321 330 428 535 642 660 1070 1177 1284 1605 1871 2140 2354 3210 3531 3742 4708 5613 5885 6420 7062 7484 9355 11226 11770 14124 17655 18710 20581 22452 23540 28065 35310 37420 41162 56130 61743 70620 82324 102905 112260 123486 200197 205810 246972 308715 400394 411620 600591 617430 800788 1000985 1201182 1234860 2001970 2202167 2402364 3002955 4003940 4404334 6005910 6606501 8808668 11010835 12011820 13213002 22021670 26426004 33032505 44043340 66065010 132130020