Search a number
-
+
102003031 = 1310177687
BaseRepresentation
bin1100001010001…
…11000101010111
321002221021212001
412011013011113
5202103044111
614042140131
72346003634
oct605070527
9232837761
10102003031
115263a429
122a1b1647
1318195430
14d79318b
158e4d1c1
hex6147157

102003031 has 8 divisors (see below), whose sum is σ = 110938464. Its totient is φ = 93223200.

The previous prime is 102002987. The next prime is 102003037. The reversal of 102003031 is 130300201.

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 102003031 - 27 = 102002903 is a prime.

It is a super-2 number, since 2×1020030312 = 20809236666373922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102002999 and 102003017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37531 + ... + 40156.

It is an arithmetic number, because the mean of its divisors is an integer number (13867308).

Almost surely, 2102003031 is an apocalyptic number.

102003031 is a deficient number, since it is larger than the sum of its proper divisors (8935433).

102003031 is a wasteful number, since it uses less digits than its factorization.

102003031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77801.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 102003031 is about 10099.6549941075. The cubic root of 102003031 is about 467.2375008382.

Adding to 102003031 its reverse (130300201), we get a palindrome (232303232).

It can be divided in two parts, 10200 and 3031, that added together give a palindrome (13231).

The spelling of 102003031 in words is "one hundred two million, three thousand, thirty-one".

Divisors: 1 13 101 1313 77687 1009931 7846387 102003031