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132120322003301 = 1722939113867689
BaseRepresentation
bin11110000010100110101000…
…110111000101000101100101
3122022210120122101221012201112
4132002212220313011011211
5114304124404413101201
61144555123225034405
736554243513313212
oct3602465067050545
9568716571835645
10132120322003301
1139108a06445a65
1212999978625a05
135894b7b9368c8
14248a92ca54b09
151041b459350bb
hex7829a8dc5165

132120322003301 has 16 divisors (see below), whose sum is σ = 140506742372400. Its totient is φ = 123802223628288.

The previous prime is 132120322003277. The next prime is 132120322003339. The reversal of 132120322003301 is 103300223021231.

It can be written as a sum of positive squares in 8 ways, for example, as 3225149056900 + 128895172946401 = 1795870^2 + 11353201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132120322003301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132120322003001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151833065 + ... + 152700753.

It is an arithmetic number, because the mean of its divisors is an integer number (8781671398275).

Almost surely, 2132120322003301 is an apocalyptic number.

It is an amenable number.

132120322003301 is a deficient number, since it is larger than the sum of its proper divisors (8386420369099).

132120322003301 is a wasteful number, since it uses less digits than its factorization.

132120322003301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907048.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132120322003301 its reverse (103300223021231), we get a palindrome (235420545024532).

The spelling of 132120322003301 in words is "one hundred thirty-two trillion, one hundred twenty billion, three hundred twenty-two million, three thousand, three hundred one".

Divisors: 1 17 229 3893 39113 664921 867689 8956877 14750713 152266909 198700781 3377913277 33937919857 576944637569 7771783647253 132120322003301