Search a number
-
+
1013123111 = 711131953269
BaseRepresentation
bin111100011000110…
…000100000100111
32121121100222122012
4330120300200213
54033324414421
6244310424435
734051255460
oct7430604047
92547328565
101013123111
1147a977430
1224336211b
13131b83440
14987a5d67
155de2495b
hex3c630827

1013123111 has 32 divisors (see below), whose sum is σ = 1431897600. Its totient is φ = 690353280.

The previous prime is 1013123101. The next prime is 1013123123. The reversal of 1013123111 is 1113213101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1013123111 - 26 = 1013123047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013123101) 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 31 ways as a sum of consecutive naturals, for example, 7616 + ... + 45653.

It is an arithmetic number, because the mean of its divisors is an integer number (44746800).

Almost surely, 21013123111 is an apocalyptic number.

1013123111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013123111 is a deficient number, since it is larger than the sum of its proper divisors (418774489).

1013123111 is a wasteful number, since it uses less digits than its factorization.

1013123111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53319.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1013123111 is about 31829.5948921754. The cubic root of 1013123111 is about 1004.3553735154.

Adding to 1013123111 its reverse (1113213101), we get a palindrome (2126336212).

The spelling of 1013123111 in words is "one billion, thirteen million, one hundred twenty-three thousand, one hundred eleven".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2717 19019 53269 372883 585959 692497 1012111 4101713 4847479 7084777 7617467 11133221 13157443 53322269 77932547 92102101 144731873 1013123111