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100103221431 = 3253209860003
BaseRepresentation
bin101110100111010011…
…1011111000010110111
3100120101100212112102200
41131032213133002313
53120002411041211
6113553051235543
710142436225423
oct1351647370267
9316340775380
10100103221431
11394a9727974
1217498448bb3
139594010605
144bb8a4db83
15290d328b56
hex174e9df0b7

100103221431 has 12 divisors (see below), whose sum is σ = 147321722808. Its totient is φ = 65476320624.

The previous prime is 100103221357. The next prime is 100103221469. The reversal of 100103221431 is 134122301001.

100103221431 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 3 + 221 + 431 = 666.

It is not a de Polignac number, because 100103221431 - 210 = 100103220407 is a prime.

It is a super-2 number, since 2×1001032214312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103221531) 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 11 ways as a sum of consecutive naturals, for example, 104929525 + ... + 104930478.

It is an arithmetic number, because the mean of its divisors is an integer number (12276810234).

Almost surely, 2100103221431 is an apocalyptic number.

100103221431 is a deficient number, since it is larger than the sum of its proper divisors (47218501377).

100103221431 is a wasteful number, since it uses less digits than its factorization.

100103221431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209860062 (or 209860059 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100103221431 its reverse (134122301001), we get a palindrome (234225522432).

The spelling of 100103221431 in words is "one hundred billion, one hundred three million, two hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 53 159 477 209860003 629580009 1888740027 11122580159 33367740477 100103221431