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201310203120 = 24351331267141
BaseRepresentation
bin1011101101111100000…
…1011110110011110000
3201020121122122220021220
42323133001132303300
511244240402444440
6232251452145040
720354440331115
oct2733701366360
9636548586256
10201310203120
11784143a81a4
1233022468180
1315ca28ba2b0
149a5a0da90c
1553834cc8d0
hex2edf05ecf0

201310203120 has 240 divisors, whose sum is σ = 694455614496. Its totient is φ = 47954073600.

The previous prime is 201310203097. The next prime is 201310203181. The reversal of 201310203120 is 21302013102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201310203120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2964750 + ... + 3031890.

Almost surely, 2201310203120 is an apocalyptic number.

201310203120 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 201310203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347227807248).

201310203120 is an abundant number, since it is smaller than the sum of its proper divisors (493145411376).

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

201310203120 is a wasteful number, since it uses less digits than its factorization.

201310203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67232 (or 67195 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201310203120 its reverse (21302013102), we get a palindrome (222612216222).

The spelling of 201310203120 in words is "two hundred one billion, three hundred ten million, two hundred three thousand, one hundred twenty".