Search a number
-
+
1202116608 = 2113272113
BaseRepresentation
bin100011110100110…
…1101100000000000
310002202222211222100
41013221231200000
54430220212413
6315141310400
741534552100
oct10751554000
93082884870
101202116608
11567622000
12296705400
13162085a04
14b5921200
1570807a73
hex47a6d800

1202116608 has 432 divisors, whose sum is σ = 4442354280. Its totient is φ = 312238080.

The previous prime is 1202116589. The next prime is 1202116609. The reversal of 1202116608 is 8066112021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1202116608 is a `hidden beast` number, since 1 + 20 + 21 + 16 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202116609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109283323 + ... + 109283333.

Almost surely, 21202116608 is an apocalyptic number.

1202116608 is a gapful number since it is divisible by the number (18) 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 1202116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221177140).

1202116608 is an abundant number, since it is smaller than the sum of its proper divisors (3240237672).

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

1202116608 is an equidigital number, since it uses as much as digits as its factorization.

1202116608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1202116608 is about 34671.5532966148. The cubic root of 1202116608 is about 1063.2829887645.

Adding to 1202116608 its reverse (8066112021), we get a palindrome (9268228629).

The spelling of 1202116608 in words is "one billion, two hundred two million, one hundred sixteen thousand, six hundred eight".