Search a number
-
+
132401201251541 = 173415991097323
BaseRepresentation
bin11110000110101100001110…
…100100011000010011010101
3122100210102122100210102001112
4132012230032210120103111
5114323230130010022131
61145332134442104405
736613446123450605
oct3606541644302325
9570712570712045
10132401201251541
1139207041461482
1212a242a64ab105
1358b54c2299901
14249a376588c05
1510490d465602b
hex786b0e9184d5

132401201251541 has 32 divisors (see below), whose sum is σ = 144346388256000. Its totient is φ = 121370484917760.

The previous prime is 132401201251523. The next prime is 132401201251549. The reversal of 132401201251541 is 145152102104231.

It is a de Polignac number, because none of the positive numbers 2k-132401201251541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132401201251498 and 132401201251507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132401201251549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120109706 + ... + 121207028.

It is an arithmetic number, because the mean of its divisors is an integer number (4510824633000).

Almost surely, 2132401201251541 is an apocalyptic number.

It is an amenable number.

132401201251541 is a deficient number, since it is larger than the sum of its proper divisors (11945187004459).

132401201251541 is an equidigital number, since it uses as much as digits as its factorization.

132401201251541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098014 (or 1097980 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 132401201251541 its reverse (145152102104231), we get a palindrome (277553303355772).

The spelling of 132401201251541 in words is "one hundred thirty-two trillion, four hundred one billion, two hundred one million, two hundred fifty-one thousand, five hundred forty-one".

Divisors: 1 17 41 289 599 697 4913 10183 11849 24559 173111 201433 417503 1097323 2942887 7097551 18654491 44990243 120658367 317126347 657296477 764834131 5391147899 11174040109 13002180227 26949155557 189958681853 221037063859 458135644469 3229297591501 7788305955973 132401201251541