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107138025943 = 13233173191829
BaseRepresentation
bin110001111000111101…
…1001000100111010111
3101020112122002122000221
41203301323020213113
53223404313312233
6121115111415211
710511660123524
oct1436173104727
9336478078027
10107138025943
11414896936a3
1218920384507
13a1455b1330
14528506a14b
152bc0c1a42d
hex18f1ec89d7

107138025943 has 64 divisors (see below), whose sum is σ = 126794465280. Its totient is φ = 89710156800.

The previous prime is 107138025931. The next prime is 107138025959. The reversal of 107138025943 is 349520831701.

It is not a de Polignac number, because 107138025943 - 29 = 107138025431 is a prime.

It is a super-2 number, since 2×1071380259432 (a number of 23 digits) contains 22 as substring.

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 107138025943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107138025913) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129237253 + ... + 129238081.

It is an arithmetic number, because the mean of its divisors is an integer number (1981163520).

Almost surely, 2107138025943 is an apocalyptic number.

107138025943 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

107138025943 is a deficient number, since it is larger than the sum of its proper divisors (19656439337).

107138025943 is a wasteful number, since it uses less digits than its factorization.

107138025943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 107138025943 in words is "one hundred seven billion, one hundred thirty-eight million, twenty-five thousand, nine hundred forty-three".

Divisors: 1 13 23 31 73 191 299 403 713 829 949 1679 2263 2483 4393 5921 9269 10777 13943 19067 21827 25699 29419 52049 57109 60517 76973 136183 158339 181259 247871 320689 334087 432233 591077 676637 786721 1391891 1770379 1876027 2058407 3641797 4168957 4908509 5619029 7684001 9941359 11558747 18094583 24388351 43148621 47343361 63810617 112895707 129237667 150263711 265851181 358321157 560932073 1467644191 3456065353 4658175041 8241386611 107138025943