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132041313104133 = 31789251227350989
BaseRepresentation
bin11110000001011101000011…
…100100000011000100000101
3122022112000201010202021110210
4132001131003210003010011
5114301331102123313013
61144454535234110033
736545445554616336
oct3601350344030405
9568460633667423
10132041313104133
1139088451a34684
12129865a871b319
13588a599c444b4
142486b9578c28d
15103ea6e48acc3
hex781743903105

132041313104133 has 64 divisors (see below), whose sum is σ = 189343769529600. Its totient is φ = 81554694144000.

The previous prime is 132041313104101. The next prime is 132041313104137. The reversal of 132041313104133 is 331401313140231.

It is a happy number.

It is not a de Polignac number, because 132041313104133 - 25 = 132041313104101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132041313104133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132041313104137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2589578403 + ... + 2589629391.

It is an arithmetic number, because the mean of its divisors is an integer number (2958496398900).

Almost surely, 2132041313104133 is an apocalyptic number.

It is an amenable number.

132041313104133 is a deficient number, since it is larger than the sum of its proper divisors (57302456425467).

132041313104133 is a wasteful number, since it uses less digits than its factorization.

132041313104133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53622.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 132041313104133 its reverse (331401313140231), we get a palindrome (463442626244364).

The spelling of 132041313104133 in words is "one hundred thirty-two trillion, forty-one billion, three hundred thirteen million, one hundred four thousand, one hundred thirty-three".

Divisors: 1 3 17 51 89 251 267 753 1513 2273 4267 4539 6819 12801 22339 38641 50989 67017 115923 152967 202297 379763 570523 606891 866813 1139289 1711569 2600439 3439049 4538021 9698891 10317147 12798239 13614063 29096673 38394717 50776547 77146357 115897997 152329641 217570063 231439071 347693991 652710189 863201299 1139043271 1970265949 2589603897 3417129813 5910797847 10314921733 19363735607 29090397247 30944765199 58091206821 87271191741 175353669461 494536753199 526061008383 1483610259597 2589045354983 7767136064949 44013771034711 132041313104133