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11001300320 = 2551131633733
BaseRepresentation
bin10100011111011101…
…01000010101100000
31001101200212221221102
422033232220111200
5140012313102240
65015352013532
7536423336603
oct121756502540
931350787842
1011001300320
114735a4683a
1221703912a8
13106429147a
1476512c33a
15445c49815
hex28fba8560

11001300320 has 96 divisors (see below), whose sum is σ = 26388506592. Its totient is φ = 4333658112.

The previous prime is 11001300319. The next prime is 11001300379. The reversal of 11001300320 is 2300310011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2945174 + ... + 2948906.

It is an arithmetic number, because the mean of its divisors is an integer number (274880277).

Almost surely, 211001300320 is an apocalyptic number.

11001300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194253296).

11001300320 is an abundant number, since it is smaller than the sum of its proper divisors (15387206272).

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

11001300320 is a wasteful number, since it uses less digits than its factorization.

11001300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 11001300320 its reverse (2300310011), we get a palindrome (13301610331).

The spelling of 11001300320 in words is "eleven billion, one million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 163 226 326 452 565 652 815 904 1130 1304 1630 1808 2260 2608 3260 3616 3733 4520 5216 6520 7466 9040 13040 14932 18080 18419 18665 26080 29864 36838 37330 59728 73676 74660 92095 119456 147352 149320 184190 294704 298640 368380 421829 589408 597280 608479 736760 843658 1216958 1473520 1687316 2109145 2433916 2947040 3042395 3374632 4218290 4867832 6084790 6749264 8436580 9735664 12169580 13498528 16873160 19471328 24339160 33746320 48678320 67492640 68758127 97356640 137516254 275032508 343790635 550065016 687581270 1100130032 1375162540 2200260064 2750325080 5500650160 11001300320