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11130534320 = 2451034992707
BaseRepresentation
bin10100101110110111…
…00111100110110000
31001201201001201122212
422113123213212300
5140243404044240
65040245551252
7542552660243
oct122733474660
931651051585
1011130534320
1147a19951a4
1221a7715528
131084c9c3a9
1477836d25a
15452276165
hex2976e79b0

11130534320 has 80 divisors (see below), whose sum is σ = 26191776000. Its totient is φ = 4398527232.

The previous prime is 11130534301. The next prime is 11130534323. The reversal of 11130534320 is 2343503111.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11130534323) 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 15 ways as a sum of consecutive naturals, for example, 4110407 + ... + 4113113.

It is an arithmetic number, because the mean of its divisors is an integer number (327397200).

Almost surely, 211130534320 is an apocalyptic number.

11130534320 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 11130534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095888000).

11130534320 is an abundant number, since it is smaller than the sum of its proper divisors (15061241680).

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

11130534320 is a wasteful number, since it uses less digits than its factorization.

11130534320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The spelling of 11130534320 in words is "eleven billion, one hundred thirty million, five hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 499 515 824 998 1030 1648 1996 2060 2495 2707 3992 4120 4990 5414 7984 8240 9980 10828 13535 19960 21656 27070 39920 43312 51397 54140 102794 108280 205588 216560 256985 278821 411176 513970 557642 822352 1027940 1115284 1350793 1394105 2055880 2230568 2701586 2788210 4111760 4461136 5403172 5576420 6753965 10806344 11152840 13507930 21612688 22305680 27015860 54031720 108063440 139131679 278263358 556526716 695658395 1113053432 1391316790 2226106864 2782633580 5565267160 11130534320