Search a number
-
+
114222300012 = 2234683516161
BaseRepresentation
bin110101001100000101…
…1011111101101101100
3101220211100102001010000
41222120023133231230
53332411402100022
6124250100144300
711152351350012
oct1523013375554
9356740361100
10114222300012
1144494568657
121a178998090
13aa041b2b92
145757c828b2
152e87b2e6ac
hex1a982dfb6c

114222300012 has 60 divisors (see below), whose sum is σ = 299037422376. Its totient is φ = 38018280960.

The previous prime is 114222299969. The next prime is 114222300047. The reversal of 114222300012 is 210003222411.

It is a happy number.

114222300012 is a `hidden beast` number, since 1 + 1 + 422 + 230 + 0 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36789 + ... + 479372.

Almost surely, 2114222300012 is an apocalyptic number.

114222300012 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 114222300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149518711188).

114222300012 is an abundant number, since it is smaller than the sum of its proper divisors (184815122364).

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

114222300012 is a wasteful number, since it uses less digits than its factorization.

114222300012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516860 (or 516849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114222300012 its reverse (210003222411), we get a palindrome (324225522423).

The spelling of 114222300012 in words is "one hundred fourteen billion, two hundred twenty-two million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 683 1366 2049 2732 4098 6147 8196 12294 18441 24588 36882 55323 73764 110646 221292 516161 1032322 1548483 2064644 3096966 4645449 6193932 9290898 13936347 18581796 27872694 41809041 55745388 83618082 167236164 352537963 705075926 1057613889 1410151852 2115227778 3172841667 4230455556 6345683334 9518525001 12691366668 19037050002 28555575003 38074100004 57111150006 114222300012