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132054100113541 = 172533385680593
BaseRepresentation
bin11110000001101000111101…
…101110100111100010000101
3122022120020201021202122202211
4132001220331232213202011
5114302033244112113131
61144504452140103421
736546410463453214
oct3601507556474205
9568506637678684
10132054100113541
1139092913964051
1212988b76b34b71
13588b857161058
142487649b1307b
15104006bd695b1
hex781a3dba7885

132054100113541 has 12 divisors (see below), whose sum is σ = 140305228537572. Its totient is φ = 124262905299968.

The previous prime is 132054100113487. The next prime is 132054100113547. The reversal of 132054100113541 is 145311001450231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 83373882664900 + 48680217448641 = 9130930^2 + 6977121^2 .

It is not a de Polignac number, because 132054100113541 - 245 = 96869728024709 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 (132054100113547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41299060 + ... + 44381533.

It is an arithmetic number, because the mean of its divisors is an integer number (11692102378131).

Almost surely, 2132054100113541 is an apocalyptic number.

It is an amenable number.

132054100113541 is a deficient number, since it is larger than the sum of its proper divisors (8251128424031).

132054100113541 is an equidigital number, since it uses as much as digits as its factorization.

132054100113541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85685960 (or 85685943 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 132054100113541 its reverse (145311001450231), we get a palindrome (277365101563772).

The spelling of 132054100113541 in words is "one hundred thirty-two trillion, fifty-four billion, one hundred million, one hundred thirteen thousand, five hundred forty-one".

Divisors: 1 17 289 5333 90661 1541237 85680593 1456570081 24761691377 456934602469 7767888241973 132054100113541