Search a number
-
+
13401040103322 = 23171303431007977
BaseRepresentation
bin1100001100000010110000…
…1111000010011110011010
31202110010102112012121210120
43003000230033002132122
53224030312231301242
644300204113454110
72552123160261534
oct303005417023632
952403375177716
1013401040103322
1142a7392857113
121605265271336
137629359354c1
143448843b4854
151838d25341ec
hexc302c3c279a

13401040103322 has 32 divisors (see below), whose sum is σ = 28378919037312. Its totient is φ = 4204211449344.

The previous prime is 13401040103309. The next prime is 13401040103369. The reversal of 13401040103322 is 22330104010431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13401040103292 and 13401040103301.

It is an unprimeable number.

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, 12790998 + ... + 13798974.

It is an arithmetic number, because the mean of its divisors is an integer number (886841219916).

Almost surely, 213401040103322 is an apocalyptic number.

13401040103322 is an abundant number, since it is smaller than the sum of its proper divisors (14977878933990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13401040103322 is a wasteful number, since it uses less digits than its factorization.

13401040103322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138342.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13401040103322 its reverse (22330104010431), we get a palindrome (35731144113753).

The spelling of 13401040103322 in words is "thirteen trillion, four hundred one billion, forty million, one hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 102 130343 260686 391029 782058 1007977 2015954 2215831 3023931 4431662 6047862 6647493 13294986 17135609 34271218 51406827 102813654 131382746111 262765492222 394148238333 788296476666 2233506683887 4467013367774 6700520051661 13401040103322