Search a number
-
+
103436460405 = 3357142125633
BaseRepresentation
bin110000001010101001…
…0110010000101110101
3100212222122221121201000
41200111102302011311
53143314213213110
6115303522153513
710321152256335
oct1402522620565
9325878847630
10103436460405
113a95a204723
12180687b2899
1399a575cc75
1450135dd0c5
152a55c951c0
hex18154b2175

103436460405 has 64 divisors (see below), whose sum is σ = 186927229440. Its totient is φ = 54257817600.

The previous prime is 103436460319. The next prime is 103436460409. The reversal of 103436460405 is 504064634301.

103436460405 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 3 + 646 + 0 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 103436460405 - 210 = 103436459381 is a prime.

It is a super-2 number, since 2×1034364604052 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103436460405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103436460409) 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, 4022469 + ... + 4048101.

It is an arithmetic number, because the mean of its divisors is an integer number (2920737960).

Almost surely, 2103436460405 is an apocalyptic number.

103436460405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103436460405 is a deficient number, since it is larger than the sum of its proper divisors (83490769035).

103436460405 is a wasteful number, since it uses less digits than its factorization.

103436460405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26139 (or 26133 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 103436460405 in words is "one hundred three billion, four hundred thirty-six million, four hundred sixty thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 71 135 213 355 421 639 1065 1263 1917 2105 3195 3789 6315 9585 11367 18945 25633 29891 56835 76899 89673 128165 149455 230697 269019 384495 448365 692091 807057 1153485 1345095 1819943 3460455 4035285 5459829 9099715 10791493 16379487 27299145 32374479 49138461 53957465 81897435 97123437 161872395 245692305 291370311 485617185 766196003 1456851555 2298588009 3830980015 6895764027 11492940045 20687292081 34478820135 103436460405