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103406340631 = 11371993127481
BaseRepresentation
bin110000001001101111…
…1111000101000010111
3100212220120021101010211
41200103133320220113
53143234010400011
6115300524430251
710320335251516
oct1402337705027
9325816241124
10103406340631
113a944202250
121805a6a8387
13999c445609
14500d5dc67d
152a532e5b21
hex18137f8a17

103406340631 has 16 divisors (see below), whose sum is σ = 115914793248. Its totient is φ = 91418457600.

The previous prime is 103406340599. The next prime is 103406340641. The reversal of 103406340631 is 136043604301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103406340631 - 25 = 103406340599 is a prime.

It is a super-2 number, since 2×1034063406312 (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 = 103406340593 and 103406340602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103406340641) 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 15 ways as a sum of consecutive naturals, for example, 747411 + ... + 874891.

It is an arithmetic number, because the mean of its divisors is an integer number (7244674578).

Almost surely, 2103406340631 is an apocalyptic number.

103406340631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103406340631 is a deficient number, since it is larger than the sum of its proper divisors (12508452617).

103406340631 is a wasteful number, since it uses less digits than its factorization.

103406340631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129522.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 103406340631 its reverse (136043604301), we get a palindrome (239449944932).

The spelling of 103406340631 in words is "one hundred three billion, four hundred six million, three hundred forty thousand, six hundred thirty-one".

Divisors: 1 11 37 407 1993 21923 73741 127481 811151 1402291 4716797 51884767 254069633 2794765963 9400576421 103406340631