Search a number
-
+
132215516253 = 32172300337567
BaseRepresentation
bin111101100100010101…
…0001010110001011101
3110122021022211010120100
41323020222022301131
54131234133010003
6140423341211313
712360265226262
oct1731052126135
9418238733510
10132215516253
11510882372a7
122175a860b39
13c610ba97b2
146583825269
15368c5e7ba3
hex1ec8a8ac5d

132215516253 has 24 divisors (see below), whose sum is σ = 202226139648. Its totient is φ = 82952940672.

The previous prime is 132215516137. The next prime is 132215516263. The reversal of 132215516253 is 352615512231.

132215516253 is a `hidden beast` number, since 1 + 3 + 2 + 21 + 5 + 5 + 1 + 625 + 3 = 666.

It is not a de Polignac number, because 132215516253 - 221 = 132213419101 is a prime.

It is a super-3 number, since 3×1322155162533 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132215516263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3500676 + ... + 3538242.

It is an arithmetic number, because the mean of its divisors is an integer number (8426089152).

Almost surely, 2132215516253 is an apocalyptic number.

It is an amenable number.

132215516253 is a deficient number, since it is larger than the sum of its proper divisors (70010623395).

132215516253 is a wasteful number, since it uses less digits than its factorization.

132215516253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60593 (or 60590 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 132215516253 in words is "one hundred thirty-two billion, two hundred fifteen million, five hundred sixteen thousand, two hundred fifty-three".

Divisors: 1 3 9 17 51 153 23003 37567 69009 112701 207027 338103 391051 638639 1173153 1915917 3519459 5747751 864153701 2592461103 7777383309 14690612917 44071838751 132215516253