Search a number
-
+
1032123303007 = 17313595455399
BaseRepresentation
bin11110000010011110101…
…01111100010001011111
310122200002110002022000021
433001033111330101133
5113402242031144012
62110052332213011
7134365656215446
oct17011725742137
93580073068007
101032123303007
113687a27739a5
1214804800a167
137643751a444
1437d52885d5d
151bcab9ac007
hexf04f57c45f

1032123303007 has 16 divisors (see below), whose sum is σ = 1131231744000. Its totient is φ = 937455592320.

The previous prime is 1032123302993. The next prime is 1032123303067. The reversal of 1032123303007 is 7003033212301.

It is a cyclic number.

It is not a de Polignac number, because 1032123303007 - 211 = 1032123300959 is a prime.

It is a super-2 number, since 2×10321233030072 (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 (1032123303067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538507 + ... + 2916892.

It is an arithmetic number, because the mean of its divisors is an integer number (70701984000).

Almost surely, 21032123303007 is an apocalyptic number.

1032123303007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1032123303007 is a deficient number, since it is larger than the sum of its proper divisors (99108440993).

1032123303007 is a wasteful number, since it uses less digits than its factorization.

1032123303007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5455806.

The product of its (nonzero) digits is 2268, while the sum is 25.

Adding to 1032123303007 its reverse (7003033212301), we get a palindrome (8035156515308).

The spelling of 1032123303007 in words is "one trillion, thirty-two billion, one hundred twenty-three million, three hundred three thousand, seven".

Divisors: 1 17 31 359 527 6103 11129 189193 5455399 92741783 169117369 1958488241 2874995273 33294300097 60713135471 1032123303007