Search a number
-
+
132003001010321 = 7315136714714721
BaseRepresentation
bin11110000000111001010111…
…111111000000100010010001
3122022101100211002210020222022
4132000321113333000202101
5114300214121224312241
61144425201433021225
736542621264321000
oct3600712777004221
9568340732706868
10132003001010321
1139073181839531
121297b095b54815
135886aa27958bc
142484d9d438c37
15103da7ac6954b
hex780e57fc0891

132003001010321 has 64 divisors (see below), whose sum is σ = 155519621529600. Its totient is φ = 111989939040000.

The previous prime is 132003001010281. The next prime is 132003001010329. The reversal of 132003001010321 is 123010100300231.

It is not a de Polignac number, because 132003001010321 - 222 = 132002996816017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132003001010321.

It is not an unprimeable number, because it can be changed into a prime (132003001010329) 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, 27960811241 + ... + 27960815961.

It is an arithmetic number, because the mean of its divisors is an integer number (2429994086400).

Almost surely, 2132003001010321 is an apocalyptic number.

It is an amenable number.

132003001010321 is a deficient number, since it is larger than the sum of its proper divisors (23516620519279).

132003001010321 is a wasteful number, since it uses less digits than its factorization.

132003001010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 132003001010321 its reverse (123010100300231), we get a palindrome (255013101310552).

The spelling of 132003001010321 in words is "one hundred thirty-two trillion, three billion, one million, ten thousand, three hundred twenty-one".

Divisors: 1 7 49 151 343 367 1057 1471 2569 4721 7399 10297 17983 33047 51793 55417 72079 125881 222121 231329 387919 504553 539857 712871 1554847 1619303 1732607 2715433 3778999 4990097 6944591 10883929 12128249 19008031 26452993 34930679 48612137 76187503 81518407 84897743 185170951 244514753 261623657 340284959 570628849 594284201 1048633241 1831365599 2381994713 2548664897 3994401943 7340432687 12819559193 17840654279 27960813601 51383028809 89736914351 124884579953 359681201663 384848399447 874192059671 2693938796129 18857571572903 132003001010321