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1310002213 = 13100769401
BaseRepresentation
bin100111000010101…
…0000110000100101
310101022000000012111
41032011100300211
510140330032323
6333553521021
744314556302
oct11605206045
93338000174
101310002213
1161250a063
12306873171
1317b52a850
14c5da60a9
157a018c0d
hex4e150c25

1310002213 has 4 divisors (see below), whose sum is σ = 1410771628. Its totient is φ = 1209232800.

The previous prime is 1310002171. The next prime is 1310002217. The reversal of 1310002213 is 3122000131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3122000131 = 7939518989.

It can be written as a sum of positive squares in 2 ways, for example, as 354079489 + 955922724 = 18817^2 + 30918^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1310002213 is a prime.

It is a super-2 number, since 2×13100022132 = 3432211596129794738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 100769401 = 1310002213 / (1 + 3 + 1 + 0 + 0 + 0 + 2 + 2 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1310002193 and 1310002202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310002217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50384688 + ... + 50384713.

It is an arithmetic number, because the mean of its divisors is an integer number (352692907).

Almost surely, 21310002213 is an apocalyptic number.

1310002213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310002213 is a deficient number, since it is larger than the sum of its proper divisors (100769415).

1310002213 is a wasteful number, since it uses less digits than its factorization.

1310002213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100769414.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1310002213 is about 36193.9527131260. The cubic root of 1310002213 is about 1094.1847975030.

Adding to 1310002213 its reverse (3122000131), we get a palindrome (4432002344).

The spelling of 1310002213 in words is "one billion, three hundred ten million, two thousand, two hundred thirteen".

Divisors: 1 13 100769401 1310002213