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132330300141 = 31319456739103
BaseRepresentation
bin111101100111110000…
…0000010001011101101
3110122120022210202110110
41323033200002023231
54132003024101031
6140443001330233
712363160664214
oct1731740021355
9418508722413
10132330300141
1151137006116
1221791196979
13c62b8c8460
146594b8407b
15369771cc46
hex1ecf8022ed

132330300141 has 32 divisors (see below), whose sum is σ = 200062320640. Its totient is φ = 77129164224.

The previous prime is 132330300127. The next prime is 132330300149. The reversal of 132330300141 is 141003033231.

It is not a de Polignac number, because 132330300141 - 231 = 130182816493 is a prime.

It is a super-2 number, since 2×1323303001412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330300149) 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 31 ways as a sum of consecutive naturals, for example, 3364596 + ... + 3403698.

It is an arithmetic number, because the mean of its divisors is an integer number (6251947520).

Almost surely, 2132330300141 is an apocalyptic number.

It is an amenable number.

132330300141 is a deficient number, since it is larger than the sum of its proper divisors (67732020499).

132330300141 is a wasteful number, since it uses less digits than its factorization.

132330300141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43705.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132330300141 its reverse (141003033231), we get a palindrome (273333333372).

The spelling of 132330300141 in words is "one hundred thirty-two billion, three hundred thirty million, three hundred thousand, one hundred forty-one".

Divisors: 1 3 13 19 39 57 247 741 4567 13701 39103 59371 86773 117309 178113 260319 508339 742957 1128049 1525017 2228871 3384147 9658441 28975323 178583401 535750203 2321584213 3393084619 6964752639 10179253857 44110100047 132330300141