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204101144 = 231371131211
BaseRepresentation
bin11000010101001…
…01011000011000
3112020001102010122
430022211120120
5404222214034
632130332412
75025555032
oct1412453030
9466042118
10204101144
11a5234235
125842a108
1333391c10
141d16cc52
1512db962e
hexc2a5618

204101144 has 64 divisors (see below), whose sum is σ = 423118080. Its totient is φ = 91728000.

The previous prime is 204101143. The next prime is 204101147. The reversal of 204101144 is 441101402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 967199 + ... + 967409.

It is an arithmetic number, because the mean of its divisors is an integer number (6611220).

Almost surely, 2204101144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211559040).

204101144 is an abundant number, since it is smaller than the sum of its proper divisors (219016936).

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

204101144 is a wasteful number, since it uses less digits than its factorization.

204101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 204101144 is about 14286.3971665357. The cubic root of 204101144 is about 588.7738049916.

Adding to 204101144 its reverse (441101402), we get a palindrome (645202546).

The spelling of 204101144 in words is "two hundred four million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 71 104 131 142 211 262 284 422 524 568 844 923 1048 1688 1703 1846 2743 3406 3692 5486 6812 7384 9301 10972 13624 14981 18602 21944 27641 29962 37204 55282 59924 74408 110564 119848 120913 194753 221128 241826 359333 389506 483652 718666 779012 967304 1437332 1558024 1962511 2874664 3925022 7850044 15700088 25512643 51025286 102050572 204101144