Search a number
-
+
1003023322132 = 2213293717976617
BaseRepresentation
bin11101001100010001101…
…10010100110000010100
310112212222102100002202211
432212020312110300110
5112413142432302012
62044441010443204
7132315565365166
oct16461066246024
93485872302684
101003023322132
1135741a575627
12142486593504
137377a757650
1436791ba0936
151b156db56a7
hexe988d94c14

1003023322132 has 48 divisors (see below), whose sum is σ = 2008347762960. Its totient is φ = 434890294272.

The previous prime is 1003023322099. The next prime is 1003023322139. The reversal of 1003023322132 is 2312233203001.

It can be written as a sum of positive squares in 8 ways, for example, as 19189452676 + 983833869456 = 138526^2 + 991884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003023322139) 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, 8932513 + ... + 9044104.

It is an arithmetic number, because the mean of its divisors is an integer number (41840578395).

Almost surely, 21003023322132 is an apocalyptic number.

It is an amenable number.

1003023322132 is an abundant number, since it is smaller than the sum of its proper divisors (1005324440828).

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

1003023322132 is a wasteful number, since it uses less digits than its factorization.

1003023322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17976700 (or 17976698 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1003023322132 its reverse (2312233203001), we get a palindrome (3315256525133).

The spelling of 1003023322132 in words is "one trillion, three billion, twenty-three million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 29 37 52 58 74 116 148 377 481 754 962 1073 1508 1924 2146 4292 13949 27898 55796 17976617 35953234 71906468 233696021 467392042 521321893 665134829 934784084 1042643786 1330269658 2085287572 2660539316 6777184609 8646752777 13554369218 17293505554 19288910041 27108738436 34587011108 38577820082 77155640164 250755830533 501511661066 1003023322132