Search a number
-
+
103601302431 = 3112701407137
BaseRepresentation
bin110000001111100011…
…1100110101110011111
3100220102011010110110020
41200133013212232133
53144133413134211
6115332131243223
710325223353334
oct1403707465637
9326364113406
10103601302431
113aa34263a00
12180b3a49513
139a00957623
14502b46c98b
152a654a7306
hex181f1e6b9f

103601302431 has 24 divisors (see below), whose sum is σ = 152051386032. Its totient is φ = 62698944000.

The previous prime is 103601302421. The next prime is 103601302433. The reversal of 103601302431 is 134203106301.

It is a happy number.

It is not a de Polignac number, because 103601302431 - 27 = 103601302303 is a prime.

It is a super-3 number, since 3×1036013024313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103601302433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50895 + ... + 458031.

It is an arithmetic number, because the mean of its divisors is an integer number (6335474418).

Almost surely, 2103601302431 is an apocalyptic number.

103601302431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103601302431 is a deficient number, since it is larger than the sum of its proper divisors (48450083601).

103601302431 is a wasteful number, since it uses less digits than its factorization.

103601302431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407863 (or 407852 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103601302431 its reverse (134203106301), we get a palindrome (237804408732).

The spelling of 103601302431 in words is "one hundred three billion, six hundred one million, three hundred two thousand, four hundred thirty-one".

Divisors: 1 3 11 33 121 363 701 2103 7711 23133 84821 254463 407137 1221411 4478507 13435521 49263577 147790731 285403037 856209111 3139433407 9418300221 34533767477 103601302431