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11331021013004 = 2272116778441427
BaseRepresentation
bin1010010011100011010101…
…1110111000000000001100
31111010020100100002102222002
42210320311132320000030
52441121412334404004
640033222120411432
72246432156314100
oct244706536700014
944106310072862
1011331021013004
113679505a65440
121330040016b78
13642684001454
142b25d257d900
15149b2c42461e
hexa4e357b800c

11331021013004 has 72 divisors (see below), whose sum is σ = 25539273893952. Its totient is φ = 4348792657440.

The previous prime is 11331021013003. The next prime is 11331021013087. The reversal of 11331021013004 is 40031012013311.

It is not an unprimeable number, because it can be changed into a prime (11331021013003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39076262 + ... + 39365165.

It is an arithmetic number, because the mean of its divisors is an integer number (354712137416).

Almost surely, 211331021013004 is an apocalyptic number.

11331021013004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11331021013004 is an abundant number, since it is smaller than the sum of its proper divisors (14208252880948).

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

11331021013004 is a wasteful number, since it uses less digits than its factorization.

11331021013004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78441523 (or 78441514 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11331021013004 its reverse (40031012013311), we get a palindrome (51362033026315).

The spelling of 11331021013004 in words is "eleven trillion, three hundred thirty-one billion, twenty-one million, thirteen thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 49 67 77 98 134 154 196 268 308 469 539 737 938 1078 1474 1876 2156 2948 3283 5159 6566 10318 13132 20636 36113 72226 144452 78441427 156882854 313765708 549089989 862855697 1098179978 1725711394 2196359956 3451422788 3843629923 5255575609 6039989879 7687259846 10511151218 12079979758 15374519692 21022302436 24159959516 36789029263 42279929153 57811331699 73578058526 84559858306 115622663398 147156117052 169119716612 231245326796 257523204841 404679321893 515046409682 809358643786 1030092819364 1618717287572 2832755253251 5665510506502 11331021013004