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114222011000 = 2353311011912
BaseRepresentation
bin110101001100000101…
…0011001001001111000
3101220211022212100122212
41222120022121021320
53332411313323000
6124250050034252
711152346034266
oct1523012311170
9356738770585
10114222011000
11444943904a9
121a178878988
13aa04111476
145757c09436
152e87ac3c35
hex1a98299278

114222011000 has 192 divisors, whose sum is σ = 280099572480. Its totient is φ = 43548000000.

The previous prime is 114222010943. The next prime is 114222011003. The reversal of 114222011000 is 110222411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114222011003) 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, 598020905 + ... + 598021095.

It is an arithmetic number, because the mean of its divisors is an integer number (1458851940).

Almost surely, 2114222011000 is an apocalyptic number.

114222011000 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 114222011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140049786240).

114222011000 is an abundant number, since it is smaller than the sum of its proper divisors (165877561480).

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

114222011000 is a wasteful number, since it uses less digits than its factorization.

114222011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 114222011000 its reverse (110222411), we get a palindrome (114332233411).

The spelling of 114222011000 in words is "one hundred fourteen billion, two hundred twenty-two million, eleven thousand".