Search a number
-
+
1004301540135 = 32543354719421
BaseRepresentation
bin11101001110101010000…
…10010101101100100111
310120000021111112022020100
432213111002111230213
5112423302143241020
62045211511235143
7132362346145245
oct16472502255447
93500244468210
101004301540135
11357a16045743
12142782678ab3
137392250706a
1436873851795
151b1ce201a90
hexe9d5095b27

1004301540135 has 48 divisors (see below), whose sum is σ = 1745313792768. Its totient is φ = 534236083200.

The previous prime is 1004301540131. The next prime is 1004301540169. The reversal of 1004301540135 is 5310451034001.

It is a happy number.

1004301540135 is a `hidden beast` number, since 100 + 4 + 3 + 0 + 1 + 540 + 13 + 5 = 666.

It is not a de Polignac number, because 1004301540135 - 22 = 1004301540131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004301540099 and 1004301540108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004301540131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106597725 + ... + 106607145.

It is an arithmetic number, because the mean of its divisors is an integer number (36360704016).

Almost surely, 21004301540135 is an apocalyptic number.

1004301540135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1004301540135 is a deficient number, since it is larger than the sum of its proper divisors (741012252633).

1004301540135 is a wasteful number, since it uses less digits than its factorization.

1004301540135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15336 (or 15333 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1004301540135 its reverse (5310451034001), we get a palindrome (6314752574136).

The spelling of 1004301540135 in words is "one trillion, four billion, three hundred one million, five hundred forty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 433 1299 2165 3897 5471 6495 9421 16413 19485 27355 28263 47105 49239 82065 84789 141315 246195 423945 2368943 4079293 7106829 11844715 12237879 20396465 21320487 35534145 36713637 51542291 61189395 106602435 154626873 183568185 257711455 463880619 773134365 2319403095 22317812003 66953436009 111589060015 200860308027 334767180045 1004301540135