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204050132132 = 2271137103173839
BaseRepresentation
bin1011111000001001010…
…1011110110010100100
3201111200121022201022012
42332002111132302210
511320343313212012
6233423410253352
720512360335260
oct2760225366244
9644617281265
10204050132132
117959aa86440
1233667b87258
131631b444172
149c39d650a0
155493ced622
hex2f8255eca4

204050132132 has 96 divisors (see below), whose sum is σ = 461674536960. Its totient is φ = 76599976320.

The previous prime is 204050132089. The next prime is 204050132147. The reversal of 204050132132 is 231231050402.

204050132132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204050132098 and 204050132107.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1086869 + ... + 1260707.

It is an arithmetic number, because the mean of its divisors is an integer number (4809109760).

Almost surely, 2204050132132 is an apocalyptic number.

204050132132 is a gapful number since it is divisible by the number (22) 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 204050132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230837268480).

204050132132 is an abundant number, since it is smaller than the sum of its proper divisors (257624404828).

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

204050132132 is a wasteful number, since it uses less digits than its factorization.

204050132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174001 (or 173999 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 204050132132 its reverse (231231050402), we get a palindrome (435281182534).

The spelling of 204050132132 in words is "two hundred four billion, fifty million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 103 148 154 206 259 308 407 412 518 721 814 1036 1133 1442 1628 2266 2849 2884 3811 4532 5698 7622 7931 11396 15244 15862 26677 31724 41921 53354 83842 106708 167684 173839 293447 347678 586894 695356 1173788 1216873 1912229 2433746 3824458 4867492 6432043 7648916 12864086 13385603 17905417 25728172 26771206 35810834 45024301 53542412 70752473 71621668 90048602 125337919 141504946 180097204 196959587 250675838 283009892 393919174 495267311 501351676 662500429 787838348 990534622 1325000858 1378717109 1981069244 2650001716 2757434218 4637503003 5514868436 7287504719 9275006006 14575009438 18550012012 29150018876 51012533033 102025066066 204050132132