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100241012213 = 5915127494093
BaseRepresentation
bin101110101011011010…
…1000111010111110101
3100120201222011000211222
41131112311013113311
53120243144342323
6114014452440125
710146031355006
oct1352665072765
9316658130758
10100241012213
113956a490151
1217516619045
1395b6726214
144bcd07b1ad
15291a4959c8
hex1756d475f5

100241012213 has 16 divisors (see below), whose sum is σ = 102677520000. Its totient is φ = 97829899200.

The previous prime is 100241012203. The next prime is 100241012251. The reversal of 100241012213 is 312210142001.

It is a cyclic number.

It is not a de Polignac number, because 100241012213 - 24 = 100241012197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100241012191 and 100241012200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100241012203) 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, 24488795 + ... + 24492887.

It is an arithmetic number, because the mean of its divisors is an integer number (6417345000).

Almost surely, 2100241012213 is an apocalyptic number.

It is an amenable number.

100241012213 is a deficient number, since it is larger than the sum of its proper divisors (2436507787).

100241012213 is a wasteful number, since it uses less digits than its factorization.

100241012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100241012213 its reverse (312210142001), we get a palindrome (412451154214).

The spelling of 100241012213 in words is "one hundred billion, two hundred forty-one million, twelve thousand, two hundred thirteen".

Divisors: 1 59 151 2749 4093 8909 162191 241487 415099 618043 11251657 24490841 36464537 663847763 1699000207 100241012213