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132503242120 = 23517757725717
BaseRepresentation
bin111101101100111001…
…1110000010110001000
3110200000101020010020221
41323121303300112020
54132331312221440
6140512100155424
712400360655224
oct1733163602610
9420011203227
10132503242120
1151215697a77
122181b098b74
13c65869a8a2
1465adb21784
1536a79ced4a
hex1ed9cf0588

132503242120 has 64 divisors (see below), whose sum is σ = 315723426480. Its totient is φ = 49875050496.

The previous prime is 132503242111. The next prime is 132503242129. The reversal of 132503242120 is 21242305231.

It is an interprime number because it is at equal distance from previous prime (132503242111) and next prime (132503242129).

It can be written as a sum of positive squares in 8 ways, for example, as 37310012964 + 95193229156 = 193158^2 + 308534^2 .

It is a super-2 number, since 2×1325032421202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132503242129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5139502 + ... + 5165218.

Almost surely, 2132503242120 is an apocalyptic number.

132503242120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132503242120 is an abundant number, since it is smaller than the sum of its proper divisors (183220184360).

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

132503242120 is a wasteful number, since it uses less digits than its factorization.

132503242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33322 (or 33318 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 132503242120 its reverse (21242305231), we get a palindrome (153745547351).

The spelling of 132503242120 in words is "one hundred thirty-two billion, five hundred three million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 7577 15154 25717 30308 37885 51434 60616 75770 102868 128585 128809 151540 205736 257170 257618 303080 437189 514340 515236 644045 874378 1028680 1030472 1288090 1748756 2185945 2576180 3497512 4371890 5152360 8743780 17487560 194857709 389715418 779430836 974288545 1558861672 1948577090 3312581053 3897154180 6625162106 7794308360 13250324212 16562905265 26500648424 33125810530 66251621060 132503242120