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103431133 = 1340119841
BaseRepresentation
bin1100010101000…
…11101111011101
321012121211211201
412022203233131
5202434244013
614132515501
72364102331
oct612435735
9235554751
10103431133
1153425383
122a77bb91
1318575470
14da457c1
1591313dd
hex62a3bdd

103431133 has 8 divisors (see below), whose sum is σ = 111670776. Its totient is φ = 95232000.

The previous prime is 103431103. The next prime is 103431137. The reversal of 103431133 is 331134301.

It can be written as a sum of positive squares in 4 ways, for example, as 3790809 + 99640324 = 1947^2 + 9982^2 .

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 103431133 - 25 = 103431101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103431133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103431137) 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, 4708 + ... + 15133.

It is an arithmetic number, because the mean of its divisors is an integer number (13958847).

Almost surely, 2103431133 is an apocalyptic number.

103431133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103431133 is a deficient number, since it is larger than the sum of its proper divisors (8239643).

103431133 is a wasteful number, since it uses less digits than its factorization.

103431133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20255.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 103431133 is about 10170.1097830849. The cubic root of 103431133 is about 469.4079356358.

Adding to 103431133 its reverse (331134301), we get a palindrome (434565434).

It can be divided in two parts, 10343 and 1133, that added together give a triangular number (11476 = T151).

The spelling of 103431133 in words is "one hundred three million, four hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 13 401 5213 19841 257933 7956241 103431133