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201430111320 = 23325559528087
BaseRepresentation
bin1011101110011000101…
…0111001010001011000
3201020221000021212102100
42323212022321101120
511300012102030240
6232311414203400
720360424460524
oct2734612712130
9636830255370
10201430111320
1178476056a89
1233056653560
1315cc16b14a9
149a6bdd0d84
15538dcb5e30
hex2ee62b9458

201430111320 has 48 divisors (see below), whose sum is σ = 654647862960. Its totient is φ = 53714696256.

The previous prime is 201430111243. The next prime is 201430111327. The reversal of 201430111320 is 23111034102.

201430111320 is a `hidden beast` number, since 20 + 14 + 301 + 11 + 320 = 666.

201430111320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 201430111293 and 201430111302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201430111327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279763684 + ... + 279764403.

It is an arithmetic number, because the mean of its divisors is an integer number (13638497145).

Almost surely, 2201430111320 is an apocalyptic number.

201430111320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201430111320 is an abundant number, since it is smaller than the sum of its proper divisors (453217751640).

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

201430111320 is a wasteful number, since it uses less digits than its factorization.

201430111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559528104 (or 559528097 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201430111320 its reverse (23111034102), we get a palindrome (224541145422).

The spelling of 201430111320 in words is "two hundred one billion, four hundred thirty million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 559528087 1119056174 1678584261 2238112348 2797640435 3357168522 4476224696 5035752783 5595280870 6714337044 8392921305 10071505566 11190561740 13428674088 16785842610 20143011132 22381123480 25178763915 33571685220 40286022264 50357527830 67143370440 100715055660 201430111320