Search a number
-
+
10101131229 = 371146741947
BaseRepresentation
bin10010110100001001…
…10000011111011101
3222001222001122002110
421122010300133131
5131141342144404
64350154144233
7505213125120
oct113204603735
928058048073
1010101131229
114313909442
121b5aa22079
13c4c938b37
146bb76a3b7
153e1bd7b89
hex25a1307dd

10101131229 has 16 divisors (see below), whose sum is σ = 15393909248. Its totient is φ = 5771434032.

The previous prime is 10101131189. The next prime is 10101131231. The reversal of 10101131229 is 92213110101.

It is a happy number.

10101131229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101131229 - 29 = 10101130717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101131269) 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, 219834 + ... + 261780.

It is an arithmetic number, because the mean of its divisors is an integer number (962119328).

Almost surely, 210101131229 is an apocalyptic number.

It is an amenable number.

10101131229 is a deficient number, since it is larger than the sum of its proper divisors (5292778019).

10101131229 is a wasteful number, since it uses less digits than its factorization.

10101131229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53424.

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 10101131229 in words is "ten billion, one hundred one million, one hundred thirty-one thousand, two hundred twenty-nine".

Divisors: 1 3 7 21 11467 34401 41947 80269 125841 240807 293629 880887 481006249 1443018747 3367043743 10101131229