Search a number
-
+
1022132013 = 3726953279
BaseRepresentation
bin111100111011000…
…111111100101101
32122020022200112020
4330323013330231
54043131211023
6245231500353
734220656500
oct7473077455
92566280466
101022132013
11484a6aa01
122463876b9
131339b8b56
1499a6d137
155eb03de3
hex3cec7f2d

1022132013 has 12 divisors (see below), whose sum is σ = 1585347840. Its totient is φ = 584075352.

The previous prime is 1022132003. The next prime is 1022132047. The reversal of 1022132013 is 3102312201.

It is not a de Polignac number, because 1022132013 - 214 = 1022115629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022131983 and 1022132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022132003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3476493 + ... + 3476786.

It is an arithmetic number, because the mean of its divisors is an integer number (132112320).

Almost surely, 21022132013 is an apocalyptic number.

It is an amenable number.

1022132013 is a deficient number, since it is larger than the sum of its proper divisors (563215827).

1022132013 is an equidigital number, since it uses as much as digits as its factorization.

1022132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6953296 (or 6953289 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1022132013 is about 31970.7993800593. The cubic root of 1022132013 is about 1007.3235720269.

Adding to 1022132013 its reverse (3102312201), we get a palindrome (4124444214).

The spelling of 1022132013 in words is "one billion, twenty-two million, one hundred thirty-two thousand, thirteen".

Divisors: 1 3 7 21 49 147 6953279 20859837 48672953 146018859 340710671 1022132013