Search a number
-
+
103003131 = 37112319387
BaseRepresentation
bin1100010001110…
…11001111111011
321011211002201210
412020323033323
5202332100011
614115414203
72360340450
oct610731773
9234732653
10103003131
1153162860
122a5b4363
13184556ca
14d973827
1590996a6
hex623b3fb

103003131 has 32 divisors (see below), whose sum is σ = 178679808. Its totient is φ = 51179040.

The previous prime is 103003097. The next prime is 103003141. The reversal of 103003131 is 131300301.

It is not a de Polignac number, because 103003131 - 211 = 103001083 is a prime.

It is a super-2 number, since 2×1030031312 = 21219289991606322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103003141) 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 31 ways as a sum of consecutive naturals, for example, 4381 + ... + 15006.

It is an arithmetic number, because the mean of its divisors is an integer number (5583744).

Almost surely, 2103003131 is an apocalyptic number.

103003131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103003131 is a deficient number, since it is larger than the sum of its proper divisors (75676677).

103003131 is a wasteful number, since it uses less digits than its factorization.

103003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19431.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 103003131 is about 10149.0458172185. The cubic root of 103003131 is about 468.7595644626.

Adding to 103003131 its reverse (131300301), we get a palindrome (234303432).

It can be divided in two parts, 10300 and 3131, that added together give a palindrome (13431).

The spelling of 103003131 in words is "one hundred three million, three thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 23 33 69 77 161 231 253 483 759 1771 5313 19387 58161 135709 213257 407127 445901 639771 1337703 1492799 3121307 4478397 4904911 9363921 14714733 34334377 103003131