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203504445342 = 2321117103586979
BaseRepresentation
bin1011110110000111001…
…1110110011110011110
3201110021120111221202100
42331201303312132132
511313234114222332
6233253314305530
720463013146552
oct2754163663636
9643246457670
10203504445342
117933aa54920
12335352882a6
1316262383c83
149bc76b9862
155460e5d67c
hex2f61cf679e

203504445342 has 96 divisors (see below), whose sum is σ = 514250830080. Its totient is φ = 57476885760.

The previous prime is 203504445341. The next prime is 203504445373. The reversal of 203504445342 is 243544405302.

203504445342 is a `hidden beast` number, since 20 + 3 + 504 + 44 + 53 + 42 = 666.

203504445342 is digitally balanced in base 7, 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 = 203504445297 and 203504445306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203504445341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53209 + ... + 640187.

It is an arithmetic number, because the mean of its divisors is an integer number (5356779480).

Almost surely, 2203504445342 is an apocalyptic number.

203504445342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 203504445342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257125415040).

203504445342 is an abundant number, since it is smaller than the sum of its proper divisors (310746384738).

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

203504445342 is a wasteful number, since it uses less digits than its factorization.

203504445342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587118 (or 587115 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 203504 and 445342, that added together give a palindrome (648846).

The spelling of 203504445342 in words is "two hundred three billion, five hundred four million, four hundred forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 103 153 187 198 206 306 309 374 561 618 927 1122 1133 1683 1751 1854 2266 3366 3399 3502 5253 6798 10197 10506 15759 19261 20394 31518 38522 57783 115566 173349 346698 586979 1173958 1760937 3521874 5282811 6456769 9978643 10565622 12913538 19370307 19957286 29935929 38740614 58110921 59871858 60458837 89807787 109765073 116221842 120917674 179615574 181376511 219530146 329295219 362753022 544129533 658590438 665047207 987885657 1027800229 1088259066 1330094414 1975771314 1995141621 2055600458 3083400687 3990283242 5985424863 6166801374 9250202061 11305802519 11970849726 18500404122 22611605038 33917407557 67834815114 101752222671 203504445342