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201144140120 = 235711611795981
BaseRepresentation
bin1011101101010100100…
…0000000000101011000
3201020012002012000200102
42323111020000011120
511243420344440440
6232223200554532
720350352660330
oct2732510000530
9636162160612
10201144140120
1178339694650
1232b96922a48
1315c77385c71
149a420300c0
155373b28b15
hex2ed5200158

201144140120 has 256 divisors, whose sum is σ = 576798796800. Its totient is φ = 61311744000.

The previous prime is 201144140089. The next prime is 201144140123. The reversal of 201144140120 is 21041441102.

Adding to 201144140120 its reverse (21041441102), we get a palindrome (222185581222).

It is a super-2 number, since 2×2011441401202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201144140092 and 201144140101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201144140123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33627530 + ... + 33633510.

It is an arithmetic number, because the mean of its divisors is an integer number (2253120300).

Almost surely, 2201144140120 is an apocalyptic number.

201144140120 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 201144140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288399398400).

201144140120 is an abundant number, since it is smaller than the sum of its proper divisors (375654656680).

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

201144140120 is a wasteful number, since it uses less digits than its factorization.

201144140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 201144140120 in words is "two hundred one billion, one hundred forty-four million, one hundred forty thousand, one hundred twenty".