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113221187352 = 233271346737003
BaseRepresentation
bin110100101110010000…
…0100011011100011000
3101211020120122020201100
41221130200203130120
53323334110443402
6124002454551400
711115504133140
oct1513440433430
9354216566640
10113221187352
1144020454919
1219b39668560
13a8a4976420
1456a0d25920
152e29ccd71c
hex1a5c823718

113221187352 has 192 divisors, whose sum is σ = 378222324480. Its totient is φ = 29795786496.

The previous prime is 113221187327. The next prime is 113221187357. The reversal of 113221187352 is 253781122311.

113221187352 is a `hidden beast` number, since 1 + 1 + 3 + 221 + 1 + 87 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113221187357) 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, 3041283 + ... + 3078285.

It is an arithmetic number, because the mean of its divisors is an integer number (1969907940).

Almost surely, 2113221187352 is an apocalyptic number.

113221187352 is a gapful number since it is divisible by the number (12) 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 113221187352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189111162240).

113221187352 is an abundant number, since it is smaller than the sum of its proper divisors (265001137128).

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

113221187352 is a wasteful number, since it uses less digits than its factorization.

113221187352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37502 (or 37495 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 113221187352 in words is "one hundred thirteen billion, two hundred twenty-one million, one hundred eighty-seven thousand, three hundred fifty-two".