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11331131330330 = 257567419119
BaseRepresentation
bin1010010011100011110000…
…0011101100111100011010
31111010020122000200010212222
42210320330003230330122
52441122124110032310
640033241101104042
72246434666100000
oct244707403547432
944106560603788
1011331131330330
113679562263489
121330070b58022
136426a0b18086
142b2603098a70
15149b36e66055
hexa4e3c0ecf1a

11331131330330 has 48 divisors (see below), whose sum is σ = 23795173889280. Its totient is φ = 3884959255632.

The previous prime is 11331131330291. The next prime is 11331131330339. The reversal of 11331131330330 is 3303313113311.

It is a happy number.

11331131330330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113311313303302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11331131330330.

It is not an unprimeable number, because it can be changed into a prime (11331131330339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33541490 + ... + 33877629.

It is an arithmetic number, because the mean of its divisors is an integer number (495732789360).

Almost surely, 211331131330330 is an apocalyptic number.

11331131330330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11331131330330 is an abundant number, since it is smaller than the sum of its proper divisors (12464042558950).

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

11331131330330 is an frugal number, since it uses more digits than its factorization.

11331131330330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67419161 (or 67419133 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 11331131330330 its reverse (3303313113311), we get a palindrome (14634444443641).

The spelling of 11331131330330 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 2401 3430 4802 12005 16807 24010 33614 84035 168070 67419119 134838238 337095595 471933833 674191190 943867666 2359669165 3303536831 4719338330 6607073662 16517684155 23124757817 33035368310 46249515634 115623789085 161873304719 231247578170 323746609438 809366523595 1133113133033 1618733047190 2266226266066 5665565665165 11331131330330