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110134222000 = 245311191731523
BaseRepresentation
bin110011010010010000…
…0101101110010110000
3101112021102222011100021
41212210200231302300
53301023330101000
6122332302333224
710646141304145
oct1464440556260
9345242864307
10110134222000
1142786996090
121941788a214
13a5022632ca
14548ad623cc
152ce8cac11a
hex19a482dcb0

110134222000 has 320 divisors, whose sum is σ = 307773872640. Its totient is φ = 37696896000.

The previous prime is 110134221991. The next prime is 110134222001. The reversal of 110134222000 is 222431011.

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

It is not an unprimeable number, because it can be changed into a prime (110134222001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72313239 + ... + 72314761.

It is an arithmetic number, because the mean of its divisors is an integer number (961793352).

Almost surely, 2110134222000 is an apocalyptic number.

110134222000 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 110134222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153886936320).

110134222000 is an abundant number, since it is smaller than the sum of its proper divisors (197639650640).

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

110134222000 is a wasteful number, since it uses less digits than its factorization.

110134222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 110134222000 its reverse (222431011), we get a palindrome (110356653011).

The spelling of 110134222000 in words is "one hundred ten billion, one hundred thirty-four million, two hundred twenty-two thousand".