Search a number
-
+
1002302351357 = 10127735825941
BaseRepresentation
bin11101001010111011110…
…00000010011111111101
310112211010011200222210112
432211131320002133331
5112410203400220412
62044241253515405
7132261662262446
oct16453570023775
93484104628715
101002302351357
1135708a60260a
12142305042b65
1373694285018
14367241282cd
151b11394e722
hexe95de027fd

1002302351357 has 8 divisors (see below), whose sum is σ = 1015880411352. Its totient is φ = 988795944000.

The previous prime is 1002302351353. The next prime is 1002302351371. The reversal of 1002302351357 is 7531532032001.

It can be written as a sum of positive squares in 4 ways, for example, as 556380236281 + 445922115076 = 745909^2 + 667774^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002302351357 - 22 = 1002302351353 is a prime.

It is a super-2 number, since 2×10023023513572 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002302351353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17884994 + ... + 17940947.

It is an arithmetic number, because the mean of its divisors is an integer number (126985051419).

Almost surely, 21002302351357 is an apocalyptic number.

It is an amenable number.

1002302351357 is a deficient number, since it is larger than the sum of its proper divisors (13578059995).

1002302351357 is a wasteful number, since it uses less digits than its factorization.

1002302351357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35826319.

The product of its (nonzero) digits is 18900, while the sum is 32.

Adding to 1002302351357 its reverse (7531532032001), we get a palindrome (8533834383358).

The spelling of 1002302351357 in words is "one trillion, two billion, three hundred two million, three hundred fifty-one thousand, three hundred fifty-seven".

Divisors: 1 101 277 27977 35825941 3618420041 9923785657 1002302351357