Search a number
-
+
1013214013 = 7231221517
BaseRepresentation
bin111100011001000…
…110101100111101
32121121112121022221
4330121012230331
54033340322023
6244312405341
734052114500
oct7431065475
92547477287
101013214013
1147aa29759
122433a6851
13131bb5926
14987cb137
155de4185d
hex3c646b3d

1013214013 has 18 divisors (see below), whose sum is σ = 1217940318. Its totient is φ = 840414960.

The previous prime is 1013213983. The next prime is 1013214023. The reversal of 1013214013 is 3104123101.

It can be written as a sum of positive squares in only one way, i.e., 808094329 + 205119684 = 28427^2 + 14322^2 .

It is a de Polignac number, because none of the positive numbers 2k-1013214013 is a prime.

It is a super-2 number, since 2×10132140132 = 2053205272279128338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013214023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36331 + ... + 57847.

It is an arithmetic number, because the mean of its divisors is an integer number (67663351).

Almost surely, 21013214013 is an apocalyptic number.

It is an amenable number.

1013214013 is a deficient number, since it is larger than the sum of its proper divisors (204726305).

1013214013 is an equidigital number, since it uses as much as digits as its factorization.

1013214013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21593 (or 21555 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1013214013 is about 31831.0228079463. The cubic root of 1013214013 is about 1004.3854110567.

Adding to 1013214013 its reverse (3104123101), we get a palindrome (4117337114).

The spelling of 1013214013 in words is "one billion, thirteen million, two hundred fourteen thousand, thirteen".

Divisors: 1 7 31 49 217 961 1519 6727 21517 47089 150619 667027 1054333 4669189 20677837 32684323 144744859 1013214013