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201330120420 = 22325111317460099
BaseRepresentation
bin1011101110000000110…
…1011101011011100100
3201020200001010210200200
42323200031131123210
511244311002323140
6232253443110500
720355101534052
oct2734015353344
9636601123620
10201330120420
1178424671380
1233029072430
1315ca6a71b90
149a5ca031d2
155385114030
hex2ee035d6e4

201330120420 has 288 divisors, whose sum is σ = 759672950400. Its totient is φ = 42402631680.

The previous prime is 201330120379. The next prime is 201330120461. The reversal of 201330120420 is 24021033102.

201330120420 is a `hidden beast` number, since 201 + 3 + 30 + 12 + 0 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (201330120379) and next prime (201330120461).

It is a super-3 number, since 3×2013301204203 (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 201330120393 and 201330120402.

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, 207531 + ... + 667629.

It is an arithmetic number, because the mean of its divisors is an integer number (2637753300).

Almost surely, 2201330120420 is an apocalyptic number.

201330120420 is a gapful number since it is divisible by the number (20) 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 201330120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379836475200).

201330120420 is an abundant number, since it is smaller than the sum of its proper divisors (558342829980).

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

201330120420 is a wasteful number, since it uses less digits than its factorization.

201330120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460155 (or 460150 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201330120420 its reverse (24021033102), we get a palindrome (225351153522).

The spelling of 201330120420 in words is "two hundred one billion, three hundred thirty million, one hundred twenty thousand, four hundred twenty".