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13110021001 = 7211214872
BaseRepresentation
bin11000011010110101…
…10000101110001001
31020211122211001220101
430031122300232021
5203322131133001
610004521125401
7642610224400
oct141532605611
936748731811
1013110021001
1156182a0900
12265a629861
13130c11379c
148c5208637
1551ae35a01
hex30d6b0b89

13110021001 has 27 divisors (see below), whose sum is σ = 16774152717. Its totient is φ = 10208730840.

The previous prime is 13110020983. The next prime is 13110021013. The reversal of 13110021001 is 10012001131.

The square root of 13110021001 is 114499.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 13110021001 - 217 = 13109889929 is a prime.

It is a super-2 number, since 2×131100210012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13110021401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8815680 + ... + 8817166.

Almost surely, 213110021001 is an apocalyptic number.

13110021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13110021001 is the 114499-th square number.

13110021001 is the 57250-th centered octagonal number.

It is an amenable number.

13110021001 is a deficient number, since it is larger than the sum of its proper divisors (3664131716).

13110021001 is an frugal number, since it uses more digits than its factorization.

13110021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 13110021001 its reverse (10012001131), we get a palindrome (23122022132).

The spelling of 13110021001 in words is "thirteen billion, one hundred ten million, twenty-one thousand, one".

Divisors: 1 7 11 49 77 121 539 847 1487 5929 10409 16357 72863 114499 179927 801493 1259489 2211169 8816423 15478183 24322859 108347281 170260013 267551449 1191820091 1872860143 13110021001