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1163248801 = 111322712309
BaseRepresentation
bin100010101010101…
…1100010010100001
310000001212011100221
41011111130102201
54340242430201
6311232243041
740553310631
oct10525342241
93001764327
101163248801
11547695050
122856a0481
13156cc7600
14b06c46c1
156c1cb4a1
hex4555c4a1

1163248801 has 24 divisors (see below), whose sum is σ = 1379790720. Its totient is φ = 972129600.

The previous prime is 1163248789. The next prime is 1163248831. The reversal of 1163248801 is 1088423611.

It is not a de Polignac number, because 1163248801 - 25 = 1163248769 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1163248831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502635 + ... + 504943.

It is an arithmetic number, because the mean of its divisors is an integer number (57491280).

Almost surely, 21163248801 is an apocalyptic number.

1163248801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1163248801 is a deficient number, since it is larger than the sum of its proper divisors (216541919).

1163248801 is a wasteful number, since it uses less digits than its factorization.

1163248801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1163248801 is about 34106.4334253818. The cubic root of 1163248801 is about 1051.6975717599.

The spelling of 1163248801 in words is "one billion, one hundred sixty-three million, two hundred forty-eight thousand, eight hundred one".

Divisors: 1 11 13 143 169 271 1859 2309 2981 3523 25399 30017 38753 45799 330187 390221 503789 625739 4292431 6883129 8134607 89480677 105749891 1163248801