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1110131101321 = 11211113825577
BaseRepresentation
bin10000001001111000111…
…110000100111010001001
310221010102221112001001121
4100021320332010322021
5121142022030220241
62205553122115241
7143130040445044
oct20117076047211
93833387461047
101110131101321
1139889307a400
1215b1987abb21
13808b99a8598
143ba32bd5c5b
151dd25108ad1
hex10278f84e89

1110131101321 has 12 divisors (see below), whose sum is σ = 1220338027636. Its totient is φ = 1009118056320.

The previous prime is 1110131101309. The next prime is 1110131101333. The reversal of 1110131101321 is 1231011310111.

It is an interprime number because it is at equal distance from previous prime (1110131101309) and next prime (1110131101333).

It can be written as a sum of positive squares in 2 ways, for example, as 31833696400 + 1078297404921 = 178420^2 + 1038411^2 .

It is not a de Polignac number, because 1110131101321 - 27 = 1110131101193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1110131101295 and 1110131101304.

It is not an unprimeable number, because it can be changed into a prime (1110131101301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931885 + ... + 1757461.

Almost surely, 21110131101321 is an apocalyptic number.

1110131101321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110131101321 is a deficient number, since it is larger than the sum of its proper divisors (110206926315).

1110131101321 is a wasteful number, since it uses less digits than its factorization.

1110131101321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836712 (or 836701 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1110131101321 its reverse (1231011310111), we get a palindrome (2341142411432).

The spelling of 1110131101321 in words is "one trillion, one hundred ten billion, one hundred thirty-one million, one hundred one thousand, three hundred twenty-one".

Divisors: 1 11 121 11113 122243 825577 1344673 9081347 99894817 9174637201 100921009211 1110131101321