Search a number
-
+
132303101301 = 35786390127
BaseRepresentation
bin111101100110111100…
…0010001110101110101
3110122111102121220200000
41323031320101311311
54131424043220201
6140440150341513
712362410543260
oct1731570216565
9418442556600
10132303101301
1151122719238
122178405a899
13c626094477
146591303cd7
153695148d86
hex1ecde11d75

132303101301 has 48 divisors (see below), whose sum is σ = 226759163904. Its totient is φ = 75513330864.

The previous prime is 132303101291. The next prime is 132303101311. The reversal of 132303101301 is 103101303231.

It is a happy number.

132303101301 is a `hidden beast` number, since 1 + 323 + 0 + 310 + 1 + 30 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (132303101291) and next prime (132303101311).

It is not a de Polignac number, because 132303101301 - 226 = 132235992437 is a prime.

It is a super-2 number, since 2×1323031013012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132303101311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422900 + ... + 1513026.

It is an arithmetic number, because the mean of its divisors is an integer number (4724149248).

Almost surely, 2132303101301 is an apocalyptic number.

It is an amenable number.

132303101301 is a deficient number, since it is larger than the sum of its proper divisors (94456062603).

132303101301 is an frugal number, since it uses more digits than its factorization.

132303101301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91012 (or 91000 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 132303101301 its reverse (103101303231), we get a palindrome (235404404532).

The spelling of 132303101301 in words is "one hundred thirty-two billion, three hundred three million, one hundred one thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 863 1701 2589 6041 7767 18123 23301 54369 69903 90127 163107 209709 270381 489321 630889 811143 1467963 1892667 2433429 5678001 7300287 17034003 21900861 51102009 77779601 153306027 233338803 544457207 700016409 1633371621 2100049227 4900114863 6300147681 14700344589 18900443043 44101033767 132303101301