Search a number
-
+
1013132022 = 237191269589
BaseRepresentation
bin111100011000110…
…010101011110110
32121121101102212020
4330120302223312
54033330211042
6244310534010
734051323450
oct7430625366
92547342766
101013132022
1147a9830a1
12243367306
13131b87506
14987a92d0
155de273ec
hex3c632af6

1013132022 has 32 divisors (see below), whose sum is σ = 2437612800. Its totient is φ = 274231008.

The previous prime is 1013131963. The next prime is 1013132027. The reversal of 1013132022 is 2202313101.

It is a junction number, because it is equal to n+sod(n) for n = 1013131992 and 1013132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013132027) 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 15 ways as a sum of consecutive naturals, for example, 633997 + ... + 635592.

It is an arithmetic number, because the mean of its divisors is an integer number (76175400).

Almost surely, 21013132022 is an apocalyptic number.

1013132022 is an abundant number, since it is smaller than the sum of its proper divisors (1424480778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013132022 is a wasteful number, since it uses less digits than its factorization.

1013132022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269620.

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

The square root of 1013132022 is about 31829.7348716574. The cubic root of 1013132022 is about 1004.3583181344.

Adding to 1013132022 its reverse (2202313101), we get a palindrome (3215445123).

The spelling of 1013132022 in words is "one billion, thirteen million, one hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1269589 2539178 3808767 7617534 8887123 17774246 24122191 26661369 48244382 53322738 72366573 144733146 168855337 337710674 506566011 1013132022