Search a number
-
+
10101111031 = 112059944579
BaseRepresentation
bin10010110100001001…
…01011100011110111
3222001222000121101101
421122010223203313
5131141341023111
64350153510531
7505213012204
oct113204534367
928058017341
1010101111031
1143138a5250
121b5aa12447
13c4c92c89b
146bb762cab
153e1bd1bc1
hex25a12b8f7

10101111031 has 8 divisors (see below), whose sum is σ = 11020176000. Its totient is φ = 9182176440.

The previous prime is 10101111029. The next prime is 10101111061. The reversal of 10101111031 is 13011110101.

10101111031 is digitally balanced in base 3, 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 not a de Polignac number, because 10101111031 - 21 = 10101111029 is a prime.

It is a super-2 number, since 2×101011110312 (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 = 10101110999 and 10101111017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111011) 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, 204300 + ... + 248878.

It is an arithmetic number, because the mean of its divisors is an integer number (1377522000).

Almost surely, 210101111031 is an apocalyptic number.

10101111031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10101111031 is a deficient number, since it is larger than the sum of its proper divisors (919064969).

10101111031 is a wasteful number, since it uses less digits than its factorization.

10101111031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65189.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10101111031 its reverse (13011110101), we get a palindrome (23112221132).

The spelling of 10101111031 in words is "ten billion, one hundred one million, one hundred eleven thousand, thirty-one".

Divisors: 1 11 20599 44579 226589 490369 918282821 10101111031