Search a number
-
+
10131332101441 = 195215511022389
BaseRepresentation
bin1001001101101110001001…
…1100110111010101000001
31022212112201221202021002121
42103123202130313111001
52311442432004221231
633314134131444241
72063651565652315
oct223334234672501
938775657667077
1010131332101441
113256745936731
12117762a756681
135864c3cc7655
142705054b3b45
15128814bd8311
hex936e2737541

10131332101441 has 8 divisors (see below), whose sum is σ = 10664590985600. Its totient is φ = 9598076305200.

The previous prime is 10131332101367. The next prime is 10131332101477. The reversal of 10131332101441 is 14410123313101.

10131332101441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10131332101441 - 213 = 10131332093249 is a prime.

It is a super-2 number, since 2×101313321014412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131332191441) 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, 9398275 + ... + 10420663.

It is an arithmetic number, because the mean of its divisors is an integer number (1333073873200).

Almost surely, 210131332101441 is an apocalyptic number.

It is an amenable number.

10131332101441 is a deficient number, since it is larger than the sum of its proper divisors (533258884159).

10131332101441 is a wasteful number, since it uses less digits than its factorization.

10131332101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543959.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 10131332101441 its reverse (14410123313101), we get a palindrome (24541455414542).

The spelling of 10131332101441 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-two million, one hundred one thousand, four hundred forty-one".

Divisors: 1 19 521551 1022389 9909469 19425391 533228005339 10131332101441