Search a number
-
+
132301301310 = 232571127163027
BaseRepresentation
bin111101100110111000…
…1011010011000111110
3110122111022020110112200
41323031301122120332
54131423113120220
6140440044012330
712362356335423
oct1731561323076
9418438213480
10132301301310
11511216a9942
12217835310a6
13c6258b4099
146590d95d4a
153694de0890
hex1ecdc5a63e

132301301310 has 96 divisors (see below), whose sum is σ = 351577055232. Its totient is φ = 34509343680.

The previous prime is 132301301291. The next prime is 132301301311. The reversal of 132301301310 is 13103103231.

It is a happy number.

132301301310 is a `hidden beast` number, since 1 + 32 + 301 + 301 + 31 + 0 = 666.

It is a super-2 number, since 2×1323013013102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132301301311) 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, 730017 + ... + 893043.

It is an arithmetic number, because the mean of its divisors is an integer number (3662260992).

Almost surely, 2132301301310 is an apocalyptic number.

132301301310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132301301310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175788527616).

132301301310 is an abundant number, since it is smaller than the sum of its proper divisors (219275753922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132301301310 is a wasteful number, since it uses less digits than its factorization.

132301301310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163238 (or 163235 counting only the distinct ones).

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

Adding to 132301301310 its reverse (13103103231), we get a palindrome (145404404541).

The spelling of 132301301310 in words is "one hundred thirty-two billion, three hundred one million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 127 142 213 254 355 381 426 635 639 710 762 1065 1143 1270 1278 1905 2130 2286 3195 3810 5715 6390 9017 11430 18034 27051 45085 54102 81153 90170 135255 162306 163027 270510 326054 405765 489081 811530 815135 978162 1467243 1630270 2445405 2934486 4890810 7336215 11574917 14672430 20704429 23149834 34724751 41408858 57874585 62113287 69449502 103522145 104174253 115749170 124226574 173623755 186339861 207044290 208348506 310566435 347247510 372679722 520871265 621132870 931699305 1041742530 1470014459 1863398610 2940028918 4410043377 7350072295 8820086754 13230130131 14700144590 22050216885 26460260262 44100433770 66150650655 132301301310