Search a number
-
+
311322322030032 = 24322161960569653
BaseRepresentation
bin100011011001001010110000…
…0011010100100110111010000
31111211022010022220100220112200
41012302111200122210313100
5311301201103414430112
63022043300023323200
7122401203235006605
oct10662254032446720
91454263286326480
10311322322030032
11902190676a2235
122ab004278b0500
131049375211b961
1456c411b95a6ac
1525ed31c216cdc
hex11b25606a4dd0

311322322030032 has 30 divisors (see below), whose sum is σ = 871270109570562. Its totient is φ = 103774107343296.

The previous prime is 311322322029991. The next prime is 311322322030061. The reversal of 311322322030032 is 230030223223113.

311322322030032 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 2 + 2 + 322 + 0 + 300 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 268846392799296 + 42475929230736 = 16396536^2 + 6517356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 311322322029978 and 311322322030005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1080980284683 + ... + 1080980284970.

Almost surely, 2311322322030032 is an apocalyptic number.

It is an amenable number.

311322322030032 is an abundant number, since it is smaller than the sum of its proper divisors (559947787540530).

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

311322322030032 is a wasteful number, since it uses less digits than its factorization.

311322322030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161960569667 (or 2161960569658 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 311322322030032 its reverse (230030223223113), we get a palindrome (541352545253145).

The spelling of 311322322030032 in words is "three hundred eleven trillion, three hundred twenty-two billion, three hundred twenty-two million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2161960569653 4323921139306 6485881708959 8647842278612 12971763417918 17295684557224 19457645126877 25943526835836 34591369114448 38915290253754 51887053671672 77830580507508 103774107343344 155661161015016 311322322030032