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13210001113 = 176221124909
BaseRepresentation
bin11000100110110000…
…01001111011011001
31021002121221120211111
430103120021323121
5204023230013423
610022452100321
7645233104531
oct142330117331
937077846744
1013210001113
1156697793a1
1226880046a1
131326a4b20a
148d45d24c1
15524ad460d
hex313609ed9

13210001113 has 8 divisors (see below), whose sum is σ = 13989420360. Its totient is φ = 12430844160.

The previous prime is 13210001039. The next prime is 13210001137. The reversal of 13210001113 is 31110001231.

13210001113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21086464 + 13188914649 = 4592^2 + 114843^2 .

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 13210001113 - 217 = 13209870041 is a prime.

It is a super-2 number, since 2×132100011132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13210001093 and 13210001102.

It is not an unprimeable number, because it can be changed into a prime (13210001143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43303 + ... + 168211.

It is an arithmetic number, because the mean of its divisors is an integer number (1748677545).

Almost surely, 213210001113 is an apocalyptic number.

It is an amenable number.

13210001113 is a deficient number, since it is larger than the sum of its proper divisors (779419247).

13210001113 is a wasteful number, since it uses less digits than its factorization.

13210001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131147.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13210001113 its reverse (31110001231), we get a palindrome (44320002344).

The spelling of 13210001113 in words is "thirteen billion, two hundred ten million, one thousand, one hundred thirteen".

Divisors: 1 17 6221 105757 124909 2123453 777058889 13210001113