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103971247458 = 23132983104309
BaseRepresentation
bin110000011010100101…
…0110101010101100010
3100221100221020121121220
41200311022311111202
53200413114404313
6115432544355510
710340335010301
oct1406512652542
9327327217556
10103971247458
11401040710a1
1218197915b96
139a5c4a4c00
14506464c438
152a87bd0823
hex18352b5562

103971247458 has 48 divisors (see below), whose sum is σ = 225399723840. Its totient is φ = 31958302272.

The previous prime is 103971247451. The next prime is 103971247459. The reversal of 103971247458 is 854742179301.

It is a self number, because there is not a number n which added to its sum of digits gives 103971247458.

It is not an unprimeable number, because it can be changed into a prime (103971247451) 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 23 ways as a sum of consecutive naturals, for example, 944608 + ... + 1048916.

It is an arithmetic number, because the mean of its divisors is an integer number (4695827580).

Almost surely, 2103971247458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103971247458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112699861920).

103971247458 is an abundant number, since it is smaller than the sum of its proper divisors (121428476382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103971247458 is a wasteful number, since it uses less digits than its factorization.

103971247458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105323 (or 105310 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 103971247458 in words is "one hundred three billion, nine hundred seventy-one million, two hundred forty-seven thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 983 1014 1966 2949 5898 12779 25558 38337 76674 104309 166127 208618 312927 332254 498381 625854 996762 1356017 2712034 4068051 8136102 17628221 35256442 52884663 102535747 105769326 205071494 307607241 615214482 1332964711 2665929422 3998894133 7997788266 17328541243 34657082486 51985623729 103971247458