Search a number
-
+
71003120132 = 22721634215279
BaseRepresentation
bin100001000100000011…
…1011010001000000100
320210021022220020000002
41002020013122020010
52130403244321012
652341323140432
75062344364100
oct1021007321004
9223238806002
1071003120132
112812645707a
1211916974718
136907207a69
143617d36900
151ca870b7c2
hex10881da204

71003120132 has 72 divisors (see below), whose sum is σ = 145801877760. Its totient is φ = 30165670080.

The previous prime is 71003120051. The next prime is 71003120203. The reversal of 71003120132 is 23102130017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13447469 + ... + 13452747.

It is an arithmetic number, because the mean of its divisors is an integer number (2025026080).

Almost surely, 271003120132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71003120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72900938880).

71003120132 is an abundant number, since it is smaller than the sum of its proper divisors (74798757628).

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

71003120132 is a wasteful number, since it uses less digits than its factorization.

71003120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

Adding to 71003120132 its reverse (23102130017), we get a palindrome (94105250149).

The spelling of 71003120132 in words is "seventy-one billion, three million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 163 196 326 421 652 842 1141 1684 2282 2947 4564 5279 5894 7987 10558 11788 15974 20629 21116 31948 36953 41258 68623 73906 82516 137246 147812 258671 274492 480361 517342 860477 960722 1034684 1720954 1921444 2222459 3362527 3441908 4444918 6023339 6725054 8889836 12046678 13450108 15557213 24093356 31114426 42163373 62228852 84326746 108900491 168653492 217800982 362260817 435601964 724521634 1449043268 2535825719 5071651438 10143302876 17750780033 35501560066 71003120132