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100411100525 = 52171673114549
BaseRepresentation
bin101110110000011110…
…1111100110101101101
3100121011211012102011002
41131200331330311231
53121120220204100
6114043410210045
710153165162211
oct1354075746555
9317154172132
10100411100525
11396474a2aaa
1217563583925
139612a397a8
144c078b4941
15292a3922d5
hex1760f7cd6d

100411100525 has 48 divisors (see below), whose sum is σ = 133078982400. Its totient is φ = 74892825600.

The previous prime is 100411100507. The next prime is 100411100527. The reversal of 100411100525 is 525001114001.

It is not a de Polignac number, because 100411100525 - 222 = 100406906221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100411100497 and 100411100506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100411100527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22070951 + ... + 22075499.

It is an arithmetic number, because the mean of its divisors is an integer number (2772478800).

Almost surely, 2100411100525 is an apocalyptic number.

It is an amenable number.

100411100525 is a deficient number, since it is larger than the sum of its proper divisors (32667881875).

100411100525 is a wasteful number, since it uses less digits than its factorization.

100411100525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 100411100525 its reverse (525001114001), we get a palindrome (625412214526).

The spelling of 100411100525 in words is "one hundred billion, four hundred eleven million, one hundred thousand, five hundred twenty-five".

Divisors: 1 5 17 25 85 167 311 425 835 1555 2839 4175 4549 5287 7775 14195 22745 26435 51937 70975 77333 113725 132175 259685 386665 759683 882929 1298425 1414739 1933325 3798415 4414645 7073695 12914611 18992075 22073225 24050563 35368475 64573055 120252815 236261413 322865275 601264075 1181307065 4016444021 5906535325 20082220105 100411100525