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132715218601 = 727127332
BaseRepresentation
bin111101110011001110…
…0011000011010101001
3110200120011002122022201
41323212130120122221
54133300043443401
6140545111420201
712405543513400
oct1734634303251
9420504078281
10132715218601
1151314310049
122187a084661
13c690589264
1465cdd40637
1536bb402b01
hex1ee67186a9

132715218601 has 27 divisors (see below), whose sum is σ = 156801961143. Its totient is φ = 112000699440.

The previous prime is 132715218577. The next prime is 132715218659. The reversal of 132715218601 is 106812517231.

The square root of 132715218601 is 364301.

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

It can be written as a sum of positive squares in only one way, i.e., 129834105625 + 2881112976 = 360325^2 + 53676^2 .

It is not a de Polignac number, because 132715218601 - 25 = 132715218569 is a prime.

It is a super-2 number, since 2×1327152186012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132715210601) 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, 181057231 + ... + 181057963.

Almost surely, 2132715218601 is an apocalyptic number.

132715218601 is the 364301-st square number.

132715218601 is the 182151-st centered octagonal number.

It is an amenable number.

132715218601 is a deficient number, since it is larger than the sum of its proper divisors (24086742542).

132715218601 is an frugal number, since it uses more digits than its factorization.

132715218601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 132715218601 in words is "one hundred thirty-two billion, seven hundred fifteen million, two hundred eighteen thousand, six hundred one".

Divisors: 1 7 49 71 497 733 3479 5041 5131 35287 35917 52043 247009 364301 537289 2550107 3695053 3761023 25865371 26327161 38147519 181057597 267032633 1869228431 2708473849 18959316943 132715218601