Search a number
-
+
203431424532 = 22372995387629
BaseRepresentation
bin1011110101110101110…
…1010011001000010100
3201110002111010010000220
42331131131103020110
511313111421041112
6233242145234340
720461135402110
oct2753535231024
9643074103026
10203431424532
1179302810246
12335149329b0
13162501c84ab
149bbbb0c740
15545983798c
hex2f5d753214

203431424532 has 96 divisors (see below), whose sum is σ = 561785414400. Its totient is φ = 56059487232.

The previous prime is 203431424453. The next prime is 203431424543. The reversal of 203431424532 is 235424134302.

It is a super-2 number, since 2×2034314245322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203431424493 and 203431424502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2277694 + ... + 2365322.

It is an arithmetic number, because the mean of its divisors is an integer number (5851931400).

Almost surely, 2203431424532 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 203431424532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280892707200).

203431424532 is an abundant number, since it is smaller than the sum of its proper divisors (358353989868).

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

203431424532 is a wasteful number, since it uses less digits than its factorization.

203431424532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88625 (or 88623 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 203431424532 its reverse (235424134302), we get a palindrome (438855558834).

The spelling of 203431424532 in words is "two hundred three billion, four hundred thirty-one million, four hundred twenty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 953 1218 1906 2436 2859 3812 5718 6671 11436 13342 20013 26684 27637 40026 55274 80052 82911 87629 110548 165822 175258 193459 262887 331644 350516 386918 525774 580377 613403 773836 1051548 1160754 1226806 1840209 2321508 2453612 2541241 3680418 5082482 7360836 7623723 10164964 15247446 17788687 30494892 35577374 53366061 71154748 83510437 106732122 167020874 213464244 250531311 334041748 501062622 584573059 1002125244 1169146118 1753719177 2338292236 2421802673 3507438354 4843605346 7014876708 7265408019 9687210692 14530816038 16952618711 29061632076 33905237422 50857856133 67810474844 101715712266 203431424532