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11320501520 = 245141506269
BaseRepresentation
bin10101000101100000…
…10010010100010000
31002012221112001200002
422202300102110100
5141141022022040
65111153345132
7550350450416
oct124260222420
932187461602
1011320501520
11488a145389
12223b2681a8
1310b5452c13
1479569d2b6
15463c9ca15
hex2a2c12510

11320501520 has 20 divisors (see below), whose sum is σ = 26320166220. Its totient is φ = 4528200576.

The previous prime is 11320501459. The next prime is 11320501529. The reversal of 11320501520 is 2510502311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1444912144 + 9875589376 = 38012^2 + 99376^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11320501492 and 11320501501.

It is not an unprimeable number, because it can be changed into a prime (11320501529) 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 3 ways as a sum of consecutive naturals, for example, 70753055 + ... + 70753214.

It is an arithmetic number, because the mean of its divisors is an integer number (1316008311).

Almost surely, 211320501520 is an apocalyptic number.

11320501520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11320501520 is an abundant number, since it is smaller than the sum of its proper divisors (14999664700).

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

11320501520 is a wasteful number, since it uses less digits than its factorization.

11320501520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141506282 (or 141506276 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 11320501520 in words is "eleven billion, three hundred twenty million, five hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 141506269 283012538 566025076 707531345 1132050152 1415062690 2264100304 2830125380 5660250760 11320501520