Search a number
-
+
1355122125 = 32537172079
BaseRepresentation
bin101000011000101…
…1000010111001101
310111102220100002100
41100301120113031
510233402402000
6342244545313
745403230240
oct12061302715
93442810070
101355122125
11635a27345
123199b2239
13187997916
14cbd8d257
157de7ca00
hex50c585cd

1355122125 has 48 divisors (see below), whose sum is σ = 2791825920. Its totient is φ = 619480800.

The previous prime is 1355122091. The next prime is 1355122133. The reversal of 1355122125 is 5212215531.

1355122125 is a `hidden beast` number, since 135 + 512 + 2 + 12 + 5 = 666.

It is not a de Polignac number, because 1355122125 - 210 = 1355121101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78165 + ... + 93914.

It is an arithmetic number, because the mean of its divisors is an integer number (58163040).

Almost surely, 21355122125 is an apocalyptic number.

1355122125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1355122125 is an abundant number, since it is smaller than the sum of its proper divisors (1436703795).

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

1355122125 is a wasteful number, since it uses less digits than its factorization.

1355122125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172107 (or 172094 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 1355122125 is about 36811.9834428953. The cubic root of 1355122125 is about 1106.6054684530.

Adding to 1355122125 its reverse (5212215531), we get a palindrome (6567337656).

The spelling of 1355122125 in words is "one billion, three hundred fifty-five million, one hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1575 2625 7875 172079 516237 860395 1204553 1548711 2581185 3613659 4301975 6022765 7743555 10840977 12905925 18068295 21509875 30113825 38717775 54204885 64529625 90341475 150569125 193588875 271024425 451707375 1355122125