Search a number
-
+
10301936831 = 231223366239
BaseRepresentation
bin10011001100000101…
…10001010010111111
3222120221220121120222
421212002301102333
5132044243434311
64422130131555
7513202006154
oct114602612277
928527817528
1010301936831
1144071a168a
121bb6120bbb
13c82415a14
146da2bc22b
15404650adb
hex2660b14bf

10301936831 has 8 divisors (see below), whose sum is σ = 10758666240. Its totient is φ = 9845942392.

The previous prime is 10301936807. The next prime is 10301936839. The reversal of 10301936831 is 13863910301.

10301936831 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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10301936831 is a prime.

It is a super-2 number, since 2×103019368312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10301936791 and 10301936800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301936839) 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 7 ways as a sum of consecutive naturals, for example, 154991 + ... + 211248.

It is an arithmetic number, because the mean of its divisors is an integer number (1344833280).

Almost surely, 210301936831 is an apocalyptic number.

10301936831 is a deficient number, since it is larger than the sum of its proper divisors (456729409).

10301936831 is a wasteful number, since it uses less digits than its factorization.

10301936831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367485.

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 10301936831 in words is "ten billion, three hundred one million, nine hundred thirty-six thousand, eight hundred thirty-one".

Divisors: 1 23 1223 28129 366239 8423497 447910297 10301936831