Search a number
-
+
201303430432 = 25132693179689
BaseRepresentation
bin1011101101111010011…
…1101001010100100000
3201020121011220210220121
42323132213221110200
511244232134233212
6232251051050024
720354325632506
oct2733647512440
9636534823817
10201303430432
11784105a1835
1233020140914
1315ca13886a0
149a59256676
155382ae0d07
hex2ede9e9520

201303430432 has 48 divisors (see below), whose sum is σ = 426962846520. Its totient is φ = 92874258432.

The previous prime is 201303430399. The next prime is 201303430439. The reversal of 201303430432 is 234034303102.

It can be written as a sum of positive squares in 4 ways, for example, as 152446517136 + 48856913296 = 390444^2 + 221036^2 .

It is a super-2 number, since 2×2013034304322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201303430397 and 201303430406.

It is not an unprimeable number, because it can be changed into a prime (201303430439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030444 + ... + 1210132.

Almost surely, 2201303430432 is an apocalyptic number.

It is an amenable number.

201303430432 is an abundant number, since it is smaller than the sum of its proper divisors (225659416088).

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

201303430432 is a wasteful number, since it uses less digits than its factorization.

201303430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182405 (or 182397 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 201303430432 its reverse (234034303102), we get a palindrome (435337733534).

The spelling of 201303430432 in words is "two hundred one billion, three hundred three million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2693 5386 10772 21544 35009 43088 70018 86176 140036 179689 280072 359378 560144 718756 1120288 1437512 2335957 2875024 4671914 5750048 9343828 18687656 37375312 74750624 483902477 967804954 1935609908 3871219816 6290732201 7742439632 12581464402 15484879264 25162928804 50325857608 100651715216 201303430432