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13211000121 = 31112710612971
BaseRepresentation
bin11000100110110111…
…11101110100111001
31021002200211100012210
430103123331310321
5204024004000441
610022525325333
7645244435224
oct142333756471
937080740183
1013211000121
11566a2a0a20
122688406849
13132700ab47
148d47b25bb
15524c30616
hex3136fdd39

13211000121 has 32 divisors (see below), whose sum is σ = 19392086016. Its totient is φ = 7933464000.

The previous prime is 13211000113. The next prime is 13211000149. The reversal of 13211000121 is 12100011231.

It is not a de Polignac number, because 13211000121 - 23 = 13211000113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13211000097 and 13211000106.

It is not an unprimeable number, because it can be changed into a prime (13211000171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4445166 + ... + 4448136.

It is an arithmetic number, because the mean of its divisors is an integer number (606002688).

Almost surely, 213211000121 is an apocalyptic number.

13211000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13211000121 is a deficient number, since it is larger than the sum of its proper divisors (6181085895).

13211000121 is a wasteful number, since it uses less digits than its factorization.

13211000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13211000121 its reverse (12100011231), we get a palindrome (25311011352).

The spelling of 13211000121 in words is "thirteen billion, two hundred eleven million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 11 33 127 381 1061 1397 2971 3183 4191 8913 11671 32681 35013 98043 134747 377317 404241 1131951 1482217 3152231 4150487 4446651 9456693 12451461 34674541 104023623 400333337 1201000011 4403666707 13211000121