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1012636141 = 11197961331
BaseRepresentation
bin111100010110111…
…001100111101101
32121120110020122021
4330112321213231
54033213324031
6244252150141
734044156646
oct7426714755
92546406567
101012636141
1147a674580
12243168351
13131a428aa
14986ba6cd
155dd7a511
hex3c5b99ed

1012636141 has 16 divisors (see below), whose sum is σ = 1177574400. Its totient is φ = 861073200.

The previous prime is 1012636139. The next prime is 1012636159. The reversal of 1012636141 is 1416362101.

It is a cyclic number.

It is not a de Polignac number, because 1012636141 - 21 = 1012636139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012636171) 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, 14155 + ... + 47176.

It is an arithmetic number, because the mean of its divisors is an integer number (73598400).

Almost surely, 21012636141 is an apocalyptic number.

1012636141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012636141 is a deficient number, since it is larger than the sum of its proper divisors (164938259).

1012636141 is a wasteful number, since it uses less digits than its factorization.

1012636141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61440.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1012636141 is about 31821.9443309173. The cubic root of 1012636141 is about 1004.1944291661.

Adding to 1012636141 its reverse (1416362101), we get a palindrome (2428998242).

The spelling of 1012636141 in words is "one billion, twelve million, six hundred thirty-six thousand, one hundred forty-one".

Divisors: 1 11 19 79 209 869 1501 16511 61331 674641 1165289 4845149 12818179 53296639 92057831 1012636141