Search a number
-
+
10403021101 = 112533734349
BaseRepresentation
bin10011011000001000…
…11000000100101101
3222212000010020010211
421230010120010231
5132301133133401
64440140502421
7515540135404
oct115404300455
928760106124
1010403021101
114459263800
122023b4aa11
13c9a348bb5
147098b263b
1540d46b951
hex26c11812d

10403021101 has 24 divisors (see below), whose sum is σ = 11684395800. Its totient is φ = 9251848320.

The previous prime is 10403021099. The next prime is 10403021107. The reversal of 10403021101 is 10112030401.

It can be written as a sum of positive squares in 4 ways, for example, as 457746025 + 9945275076 = 21395^2 + 99726^2 .

It is not a de Polignac number, because 10403021101 - 21 = 10403021099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403021107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2389875 + ... + 2394223.

It is an arithmetic number, because the mean of its divisors is an integer number (486849825).

Almost surely, 210403021101 is an apocalyptic number.

10403021101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10403021101 is a deficient number, since it is larger than the sum of its proper divisors (1281374699).

10403021101 is a wasteful number, since it uses less digits than its factorization.

10403021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10403021101 its reverse (10112030401), we get a palindrome (20515051502).

The spelling of 10403021101 in words is "ten billion, four hundred three million, twenty-one thousand, one hundred one".

Divisors: 1 11 53 121 373 583 4103 4349 6413 19769 45133 47839 217459 230497 526229 1622177 2392049 2535467 17843947 27890137 85975381 196283417 945729191 10403021101