Search a number
-
+
10001302131 = 337276732563
BaseRepresentation
bin10010101000001111…
…11100001001110011
3221211000012210022110
421110013330021303
5130440313132011
64332230340403
7502561444152
oct112407741163
927730183273
1010001302131
114272524357
121b314ba703
13c35055072
146ac3c1599
153d8068ba6
hex2541fc273

10001302131 has 16 divisors (see below), whose sum is σ = 13700847104. Its totient is φ = 6484787424.

The previous prime is 10001302111. The next prime is 10001302169. The reversal of 10001302131 is 13120310001.

10001302131 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001302131 - 211 = 10001300083 is a prime.

It is a super-2 number, since 2×100013021312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001302111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290856 + ... + 323418.

It is an arithmetic number, because the mean of its divisors is an integer number (856302944).

Almost surely, 210001302131 is an apocalyptic number.

10001302131 is a deficient number, since it is larger than the sum of its proper divisors (3699544973).

10001302131 is a wasteful number, since it uses less digits than its factorization.

10001302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35370.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10001302131 its reverse (13120310001), we get a palindrome (23121612132).

The spelling of 10001302131 in words is "ten billion, one million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 3 37 111 2767 8301 32563 97689 102379 307137 1204831 3614493 90101821 270305463 3333767377 10001302131