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132710146560121 = 132292305572
BaseRepresentation
bin11110001011001011111101…
…001001001101000001111001
3122101212222002021220012021211
4132023023331021031001321
5114343310340004410441
61150130111044203121
736644664101320144
oct3613137511150171
9571788067805254
10132710146560121
1139316069a94489
1212a741476994a1
135908689439c00
1424ab2c374705b
1510521672dba81
hex78b2fd24d079

132710146560121 has 27 divisors (see below), whose sum is σ = 148834936310151. Its totient is φ = 118273607385024.

The previous prime is 132710146560109. The next prime is 132710146560139. The reversal of 132710146560121 is 121065641017231.

The square root of 132710146560121 is 11519989.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 131428133852521 + 1282012707600 = 11464211^2 + 1132260^2 .

It is not a de Polignac number, because 132710146560121 - 227 = 132710012342393 is a prime.

It is a super-2 number, since 2×1327101465601212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132710146567121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4343020575 + ... + 4343051131.

Almost surely, 2132710146560121 is an apocalyptic number.

132710146560121 is the 11519989-th square number.

132710146560121 is the 5759995-th centered octagonal number.

It is an amenable number.

132710146560121 is a deficient number, since it is larger than the sum of its proper divisors (16124789750030).

132710146560121 is an frugal number, since it uses more digits than its factorization.

132710146560121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61198 (or 30599 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

Adding to 132710146560121 its reverse (121065641017231), we get a palindrome (253775787577352).

The spelling of 132710146560121 in words is "one hundred thirty-two trillion, seven hundred ten billion, one hundred forty-six million, five hundred sixty thousand, one hundred twenty-one".

Divisors: 1 13 29 169 377 841 4901 10933 30557 142129 397241 886153 5164133 11519989 25698437 149759857 334079681 933730249 4343035853 12138493237 27078177221 157800412081 352016303873 785267139409 4576211950349 10208472812317 132710146560121