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132242442420 = 223511200367337
BaseRepresentation
bin111101100101001000…
…0111000100010110100
3110122100012111010022210
41323022100320202310
54131313031124140
6140430142253420
712361043133234
oct1731220704264
9418305433283
10132242442420
11510a1458330
1221767887270
13c61664663a
146587233cc4
15368eb65d80
hex1eca4388b4

132242442420 has 48 divisors (see below), whose sum is σ = 403940553408. Its totient is φ = 32058773760.

The previous prime is 132242442373. The next prime is 132242442421. The reversal of 132242442420 is 24244242231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132242442421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100183009 + ... + 100184328.

It is an arithmetic number, because the mean of its divisors is an integer number (8415428196).

Almost surely, 2132242442420 is an apocalyptic number.

132242442420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132242442420 is an abundant number, since it is smaller than the sum of its proper divisors (271698110988).

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

132242442420 is a wasteful number, since it uses less digits than its factorization.

132242442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200367360 (or 200367358 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 132242442420 its reverse (24244242231), we get a palindrome (156486684651).

The spelling of 132242442420 in words is "one hundred thirty-two billion, two hundred forty-two million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 200367337 400734674 601102011 801469348 1001836685 1202204022 2003673370 2204040707 2404408044 3005510055 4007346740 4408081414 6011020110 6612122121 8816162828 11020203535 12022040220 13224244242 22040407070 26448488484 33060610605 44080814140 66121221210 132242442420