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10011330320 = 245648119309
BaseRepresentation
bin10010101001011100…
…01100011100010000
3221211201002021101212
421110232030130100
5131000400032240
64333225315252
7503042621645
oct112456143420
927751067355
1010011330320
114278153712
121b34935b28
13c371566c4
146ad871dcc
153d8d9a165
hex254b8c710

10011330320 has 40 divisors (see below), whose sum is σ = 23281140120. Its totient is φ = 4003706880.

The previous prime is 10011330317. The next prime is 10011330409. The reversal of 10011330320 is 2303311001.

It can be written as a sum of positive squares in 4 ways, for example, as 1511965456 + 8499364864 = 38884^2 + 92192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10011330295 and 10011330304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508826 + ... + 528134.

It is an arithmetic number, because the mean of its divisors is an integer number (582028503).

Almost surely, 210011330320 is an apocalyptic number.

10011330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011330320 is an abundant number, since it is smaller than the sum of its proper divisors (13269809800).

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

10011330320 is a wasteful number, since it uses less digits than its factorization.

10011330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25803 (or 25797 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10011330320 its reverse (2303311001), we get a palindrome (12314641321).

The spelling of 10011330320 in words is "ten billion, eleven million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6481 12962 19309 25924 32405 38618 51848 64810 77236 96545 103696 129620 154472 193090 259240 308944 386180 518480 772360 1544720 125141629 250283258 500566516 625708145 1001133032 1251416290 2002266064 2502832580 5005665160 10011330320