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1221130313 = 13881106621
BaseRepresentation
bin100100011001000…
…1111100001001001
310011002202211212122
41020302033201021
510000102132223
6321101021025
742155302454
oct11062174111
93132684778
101221130313
11577329307
122a0b54775
13165cb2220
14b827049b
15723115c8
hex48c8f849

1221130313 has 8 divisors (see below), whose sum is σ = 1316568456. Its totient is φ = 1125907200.

The previous prime is 1221130291. The next prime is 1221130321. The reversal of 1221130313 is 3130311221.

It can be written as a sum of positive squares in 4 ways, for example, as 26183689 + 1194946624 = 5117^2 + 34568^2 .

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 1221130313 - 224 = 1204353097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1221130291 and 1221130300.

It is not an unprimeable number, because it can be changed into a prime (1221130333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41858 + ... + 64763.

It is an arithmetic number, because the mean of its divisors is an integer number (164571057).

Almost surely, 21221130313 is an apocalyptic number.

1221130313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1221130313 is a deficient number, since it is larger than the sum of its proper divisors (95438143).

1221130313 is a wasteful number, since it uses less digits than its factorization.

1221130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107515.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1221130313 is about 34944.6750306824. The cubic root of 1221130313 is about 1068.8596209253.

Adding to 1221130313 its reverse (3130311221), we get a palindrome (4351441534).

It can be divided in two parts, 12211 and 30313, that added together give a palindrome (42524).

The spelling of 1221130313 in words is "one billion, two hundred twenty-one million, one hundred thirty thousand, three hundred thirteen".

Divisors: 1 13 881 11453 106621 1386073 93933101 1221130313