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113201152 = 21229953
BaseRepresentation
bin1101011111101…
…01000000000000
321220000012210021
412233311000000
5212434414102
615122143224
72543123341
oct657650000
9256005707
10113201152
1158998779
1231ab1b14
131a5b643c
141106a0c8
159e11137
hex6bf5000

113201152 has 52 divisors (see below), whose sum is σ = 234426420. Its totient is φ = 54591488.

The previous prime is 113201149. The next prime is 113201159. The reversal of 113201152 is 251102311.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 59969536 = 7296^2 + 7744^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113201159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118308 + ... + 119260.

Almost surely, 2113201152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117213210).

113201152 is an abundant number, since it is smaller than the sum of its proper divisors (121225268).

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

113201152 is an frugal number, since it uses more digits than its factorization.

113201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 113201152 is about 10639.6030001124. The cubic root of 113201152 is about 483.7455120025.

Adding to 113201152 its reverse (251102311), we get a palindrome (364303463).

The spelling of 113201152 in words is "one hundred thirteen million, two hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 953 1024 1856 1906 2048 3712 3812 4096 7424 7624 14848 15248 27637 29696 30496 55274 59392 60992 110548 118784 121984 221096 243968 442192 487936 884384 975872 1768768 1951744 3537536 3903488 7075072 14150144 28300288 56600576 113201152