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1310110231221 = 321113291995669
BaseRepresentation
bin10011000100001000101…
…001111010101010110101
311122020121211112102011100
4103010020221322222311
5132431101204344341
62441504545000313
7163436516140221
oct23041051725265
94566554472140
101310110231221
11465684086590
12191aa9323099
139670989b28c
14475a4203781
152412b8093b6
hex13108a7aab5

1310110231221 has 24 divisors (see below), whose sum is σ = 2064573519840. Its totient is φ = 793945663200.

The previous prime is 1310110231219. The next prime is 1310110231231. The reversal of 1310110231221 is 1221320110131.

1310110231221 is a `hidden beast` number, since 1 + 310 + 1 + 102 + 31 + 221 = 666.

It is not a de Polignac number, because 1310110231221 - 21 = 1310110231219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310110231194 and 1310110231203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310110231231) 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 23 ways as a sum of consecutive naturals, for example, 817975 + ... + 1813643.

It is an arithmetic number, because the mean of its divisors is an integer number (86023896660).

Almost surely, 21310110231221 is an apocalyptic number.

1310110231221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310110231221 is a deficient number, since it is larger than the sum of its proper divisors (754463288619).

1310110231221 is a wasteful number, since it uses less digits than its factorization.

1310110231221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008977 (or 1008974 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1310110231221 its reverse (1221320110131), we get a palindrome (2531430341352).

The spelling of 1310110231221 in words is "one trillion, three hundred ten billion, one hundred ten million, two hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 13291 39873 119619 146201 438603 995669 1315809 2987007 8961021 10952359 32857077 98571231 13233436679 39700310037 119100930111 145567803469 436703410407 1310110231221