Search a number
-
+
1355363100 = 22325271321967
BaseRepresentation
bin101000011001001…
…0011001100011100
310111110100120122100
41100302103030130
510233433104400
6342254045100
745405252630
oct12062231434
93443316570
101355363100
116360813a3
12319aa9790
13187a50500
14cc012dc0
157dec9100
hex50c9331c

1355363100 has 648 divisors, whose sum is σ = 5616723840. Its totient is φ = 266872320.

The previous prime is 1355363099. The next prime is 1355363101. The reversal of 1355363100 is 13635531.

1355363100 is a `hidden beast` number, since 1 + 3 + 553 + 6 + 3 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (1355363099) and next prime (1355363101).

It is a super-2 number, since 2×13553631002 = 3674018265683220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355363101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20229267 + ... + 20229333.

Almost surely, 21355363100 is an apocalyptic number.

1355363100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355363100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808361920).

1355363100 is an abundant number, since it is smaller than the sum of its proper divisors (4261360740).

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

1355363100 is a wasteful number, since it uses less digits than its factorization.

1355363100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 1355363100 is about 36815.2563484216. The cubic root of 1355363100 is about 1106.6710587155.

Adding to 1355363100 its reverse (13635531), we get a palindrome (1368998631).

The spelling of 1355363100 in words is "one billion, three hundred fifty-five million, three hundred sixty-three thousand, one hundred".