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13121023221 = 341011818861
BaseRepresentation
bin11000011100001001…
…01110110011110101
31020212102112001010000
430032010232303311
5203332440220341
610005553021513
7643102600005
oct141604566365
936772461100
1013121023221
115623525a49
122662254899
131311496587
148c6870005
1551bdaa8b6
hex30e12ecf5

13121023221 has 40 divisors (see below), whose sum is σ = 19906214328. Its totient is φ = 8611920000.

The previous prime is 13121023207. The next prime is 13121023241. The reversal of 13121023221 is 12232012131.

13121023221 is a `hidden beast` number, since 131 + 210 + 2 + 322 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5254220196 + 7866803025 = 72486^2 + 88695^2 .

It is not a de Polignac number, because 13121023221 - 213 = 13121015029 is a prime.

It is a super-2 number, since 2×131210232212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13121023194 and 13121023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121023241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1476331 + ... + 1485191.

Almost surely, 213121023221 is an apocalyptic number.

It is an amenable number.

13121023221 is a deficient number, since it is larger than the sum of its proper divisors (6785191107).

13121023221 is a wasteful number, since it uses less digits than its factorization.

13121023221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9155 (or 9146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13121023221 its reverse (12232012131), we get a palindrome (25353035352).

The spelling of 13121023221 in words is "thirteen billion, one hundred twenty-one million, twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 101 181 303 543 909 1629 2727 4887 8181 8861 14661 18281 26583 54843 79749 164529 239247 493587 717741 894961 1480761 1603841 2684883 4811523 8054649 14434569 24163947 43303707 72491841 129911121 161987941 485963823 1457891469 4373674407 13121023221