Search a number
-
+
1201122001313 = 13211257631361
BaseRepresentation
bin10001011110101000011…
…100110100000110100001
311020211022020221200102122
4101132220130310012201
5124134344213020223
62315442100554025
7152530631361623
oct21365034640641
94224266850378
101201122001313
11423436069303
121749513b2915
138935ab9ca00
14421c5552c13
152139d46a5c8
hex117a87341a1

1201122001313 has 12 divisors (see below), whose sum is σ = 1300740831468. Its totient is φ = 1108627752960.

The previous prime is 1201122001229. The next prime is 1201122001319. The reversal of 1201122001313 is 3131002211021.

It can be written as a sum of positive squares in 6 ways, for example, as 4161282064 + 1196960719249 = 64508^2 + 1094057^2 .

It is not a de Polignac number, because 1201122001313 - 232 = 1196827034017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201122001291 and 1201122001300.

It is not an unprimeable number, because it can be changed into a prime (1201122001319) 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, 1586753 + ... + 2218113.

It is an arithmetic number, because the mean of its divisors is an integer number (108395069289).

Almost surely, 21201122001313 is an apocalyptic number.

1201122001313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1201122001313 is a deficient number, since it is larger than the sum of its proper divisors (99618830155).

1201122001313 is a wasteful number, since it uses less digits than its factorization.

1201122001313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642644 (or 642631 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1201122001313 its reverse (3131002211021), we get a palindrome (4332124212334).

The spelling of 1201122001313 in words is "one trillion, two hundred one billion, one hundred twenty-two million, one thousand, three hundred thirteen".

Divisors: 1 13 169 11257 146341 631361 1902433 8207693 106700009 7107230777 92394000101 1201122001313