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104144313031 = 11371667153499
BaseRepresentation
bin110000011111101111…
…1000001101011000111
3100221210222220020221221
41200333133001223013
53201241421004111
6115502050021211
710344536024533
oct1407737015307
9327728806857
10104144313031
11401928278a0
1218225877807
139a892bb685
14507d61cbc3
152a97eb9371
hex183f7c1ac7

104144313031 has 16 divisors (see below), whose sum is σ = 116753328000. Its totient is φ = 92061960480.

The previous prime is 104144313023. The next prime is 104144313089. The reversal of 104144313031 is 130313441401.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 104144313031 - 23 = 104144313023 is a prime.

It is a super-2 number, since 2×1041443130312 (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 = 104144312987 and 104144313005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104144313431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601720 + ... + 755218.

It is an arithmetic number, because the mean of its divisors is an integer number (7297083000).

Almost surely, 2104144313031 is an apocalyptic number.

104144313031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104144313031 is a deficient number, since it is larger than the sum of its proper divisors (12609014969).

104144313031 is a wasteful number, since it uses less digits than its factorization.

104144313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155214.

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

Adding to 104144313031 its reverse (130313441401), we get a palindrome (234457754432).

The spelling of 104144313031 in words is "one hundred four billion, one hundred forty-four million, three hundred thirteen thousand, thirty-one".

Divisors: 1 11 37 407 1667 18337 61679 153499 678469 1688489 5679463 62474093 255882833 2814711163 9467664821 104144313031