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100124344221 = 31110987276151
BaseRepresentation
bin101110100111111100…
…0000011111110011101
3100120102211121200110020
41131033320003332131
53120023313003341
6113555124102353
710143113612046
oct1351770037635
9316384550406
10100124344221
113950a644820
12174a35349b9
1395984c7ac5
144bbb78b8cd
1529100ec566
hex174fe03f9d

100124344221 has 16 divisors (see below), whose sum is σ = 145649192448. Its totient is φ = 60675678000.

The previous prime is 100124344217. The next prime is 100124344231. The reversal of 100124344221 is 122443421001.

It is not a de Polignac number, because 100124344221 - 22 = 100124344217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100124344191 and 100124344200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100124344231) 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 15 ways as a sum of consecutive naturals, for example, 224496 + ... + 500646.

It is an arithmetic number, because the mean of its divisors is an integer number (9103074528).

Almost surely, 2100124344221 is an apocalyptic number.

100124344221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100124344221 is a deficient number, since it is larger than the sum of its proper divisors (45524848227).

100124344221 is a wasteful number, since it uses less digits than its factorization.

100124344221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287152.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100124344221 its reverse (122443421001), we get a palindrome (222567765222).

The spelling of 100124344221 in words is "one hundred billion, one hundred twenty-four million, three hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 3 11 33 10987 32961 120857 276151 362571 828453 3037661 9112983 3034071037 9102213111 33374781407 100124344221