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11325311520 = 253525791807
BaseRepresentation
bin10101000110000101…
…01000101000100000
31002020021120102202020
422203002220220200
5141143234432040
65111444421440
7550436362635
oct124302505040
932207512666
1011325311520
114891930196
1222409a7880
1310b6448383
1479619218c
154643eccd0
hex2a30a8a20

11325311520 has 96 divisors (see below), whose sum is σ = 35813933568. Its totient is φ = 3008299008.

The previous prime is 11325311483. The next prime is 11325311521. The reversal of 11325311520 is 2511352311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11325311521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77457 + ... + 169263.

It is an arithmetic number, because the mean of its divisors is an integer number (373061808).

Almost surely, 211325311520 is an apocalyptic number.

11325311520 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 11325311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17906966784).

11325311520 is an abundant number, since it is smaller than the sum of its proper divisors (24488622048).

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

11325311520 is a wasteful number, since it uses less digits than its factorization.

11325311520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92082 (or 92074 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11325311520 its reverse (2511352311), we get a palindrome (13836663831).

The spelling of 11325311520 in words is "eleven billion, three hundred twenty-five million, three hundred eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 257 480 514 771 1028 1285 1542 2056 2570 3084 3855 4112 5140 6168 7710 8224 10280 12336 15420 20560 24672 30840 41120 61680 91807 123360 183614 275421 367228 459035 550842 734456 918070 1101684 1377105 1468912 1836140 2203368 2754210 2937824 3672280 4406736 5508420 7344560 8813472 11016840 14689120 22033680 23594399 44067360 47188798 70783197 94377596 117971995 141566394 188755192 235943990 283132788 353915985 377510384 471887980 566265576 707831970 755020768 943775960 1132531152 1415663940 1887551920 2265062304 2831327880 3775103840 5662655760 11325311520