Search a number
-
+
10231012014 = 235872904887
BaseRepresentation
bin10011000011101000…
…01101101010101110
3222102000110021000220
421201310031222232
5131423114341024
64411114032210
7511351111236
oct114164155256
928360407026
1010231012014
114380159833
121b96418666
13c70812282
146d0ad8cc6
153ed2e0e79
hex261d0daae

10231012014 has 16 divisors (see below), whose sum is σ = 20496889728. Its totient is φ = 3404526392.

The previous prime is 10231012013. The next prime is 10231012019. The reversal of 10231012014 is 41021013201.

10231012014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102310120142 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10231011984 and 10231012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231012013) 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, 1448922 + ... + 1455965.

It is an arithmetic number, because the mean of its divisors is an integer number (1281055608).

Almost surely, 210231012014 is an apocalyptic number.

10231012014 is an abundant number, since it is smaller than the sum of its proper divisors (10265877714).

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

10231012014 is a wasteful number, since it uses less digits than its factorization.

10231012014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905479.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10231012014 its reverse (41021013201), we get a palindrome (51252025215).

The spelling of 10231012014 in words is "ten billion, two hundred thirty-one million, twelve thousand, fourteen".

Divisors: 1 2 3 6 587 1174 1761 3522 2904887 5809774 8714661 17429322 1705168669 3410337338 5115506007 10231012014