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112201131000 = 233537437421
BaseRepresentation
bin110100001111110110…
…1010110001111111000
3101201121111020000110110
41220133231112033320
53314241442143000
6123313335344320
711051306610000
oct1503755261770
9351544200413
10112201131000
1143647682442
12198b3b220a0
13a77153629a
145605677000
152dba489850
hex1a1fb563f8

112201131000 has 640 divisors, whose sum is σ = 420421584960. Its totient is φ = 24893568000.

The previous prime is 112201130981. The next prime is 112201131001. The reversal of 112201131000 is 131102211.

It is a super-2 number, since 2×1122011310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201131001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 266510790 + ... + 266511210.

Almost surely, 2112201131000 is an apocalyptic number.

112201131000 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 112201131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210210792480).

112201131000 is an abundant number, since it is smaller than the sum of its proper divisors (308220453960).

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

112201131000 is an equidigital number, since it uses as much as digits as its factorization.

112201131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112201131000 its reverse (131102211), we get a palindrome (112332233211).

The spelling of 112201131000 in words is "one hundred twelve billion, two hundred one million, one hundred thirty-one thousand".