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100331441431 = 1314771522497
BaseRepresentation
bin101110101110000111…
…0000100110100010111
3100120222021022022102021
41131130032010310113
53120434322111211
6114031442554011
710151210116024
oct1353416046427
9316867268367
10100331441431
1139606534a41
1217540968907
1395cc398630
144bdb09a54b
1529233a9771
hex175c384d17

100331441431 has 8 divisors (see below), whose sum is σ = 108056766384. Its totient is φ = 92607191040.

The previous prime is 100331441369. The next prime is 100331441443. The reversal of 100331441431 is 134144133001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100331441431 - 213 = 100331433239 is a prime.

It is a super-2 number, since 2×1003314414312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100331441396 and 100331441405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331444431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69226 + ... + 453271.

It is an arithmetic number, because the mean of its divisors is an integer number (13507095798).

Almost surely, 2100331441431 is an apocalyptic number.

100331441431 is a deficient number, since it is larger than the sum of its proper divisors (7725324953).

100331441431 is a wasteful number, since it uses less digits than its factorization.

100331441431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537281.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 100331441431 its reverse (134144133001), we get a palindrome (234475574432).

The spelling of 100331441431 in words is "one hundred billion, three hundred thirty-one million, four hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 13 14771 192023 522497 6792461 7717803187 100331441431