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201324000114 = 2321719149307757
BaseRepresentation
bin1011101101111111011…
…0000111001101110010
3201020122121121212012200
42323133312013031302
511244302421000424
6232253104004030
720354665523436
oct2733766071562
9636577555180
10201324000114
1178421171076
1233027000616
1315ca570b1b3
149a5bc8c9c6
1553848058c9
hex2edfd87372

201324000114 has 192 divisors, whose sum is σ = 491675184000. Its totient is φ = 59162793984.

The previous prime is 201324000049. The next prime is 201324000181. The reversal of 201324000114 is 411000423102.

201324000114 is a `hidden beast` number, since 20 + 132 + 400 + 0 + 114 = 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 95 ways as a sum of consecutive naturals, for example, 265949424 + ... + 265950180.

It is an arithmetic number, because the mean of its divisors is an integer number (2560808250).

Almost surely, 2201324000114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201324000114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245837592000).

201324000114 is an abundant number, since it is smaller than the sum of its proper divisors (290351183886).

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

201324000114 is a wasteful number, since it uses less digits than its factorization.

201324000114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1254 counting only the distinct ones).

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

Adding to 201324000114 its reverse (411000423102), we get a palindrome (612324423216).

The spelling of 201324000114 in words is "two hundred one billion, three hundred twenty-four million, one hundred fourteen", and thus it is an aban number.