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1310041213 = 13121383077
BaseRepresentation
bin100111000010101…
…1010010001111101
310101022001222200221
41032011122101331
510140332304323
6333554421341
744315111065
oct11605322175
93338058627
101310041213
11612536398
12306891851
1317b542520
14c5db63a5
157a02555d
hex4e15a47d

1310041213 has 8 divisors (see below), whose sum is σ = 1411993688. Its totient is φ = 1208257344.

The previous prime is 1310041193. The next prime is 1310041217. The reversal of 1310041213 is 3121400131.

It can be written as a sum of positive squares in 4 ways, for example, as 12096484 + 1297944729 = 3478^2 + 36027^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1310041213 - 221 = 1307944061 is a prime.

It is a super-2 number, since 2×13100412132 = 3432415959517022738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310041217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25770 + ... + 57307.

It is an arithmetic number, because the mean of its divisors is an integer number (176499211).

Almost surely, 21310041213 is an apocalyptic number.

1310041213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310041213 is a deficient number, since it is larger than the sum of its proper divisors (101952475).

1310041213 is a wasteful number, since it uses less digits than its factorization.

1310041213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84303.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1310041213 is about 36194.4914731510. The cubic root of 1310041213 is about 1094.1956556994.

Adding to 1310041213 its reverse (3121400131), we get a palindrome (4431441344).

The spelling of 1310041213 in words is "one billion, three hundred ten million, forty-one thousand, two hundred thirteen".

Divisors: 1 13 1213 15769 83077 1080001 100772401 1310041213