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13122420210251 = 1161151433299107
BaseRepresentation
bin1011111011110100110100…
…1100011111101001001011
31201110111021000201120002122
42332331031030133221023
53204444204033212001
643524205010321455
72523030543253352
oct276751514375113
951414230646078
1013122420210251
1141aa207120680
12157b267b8928b
137425923b6451
143351b296c999
1517b526d56b1b
hexbef4d31fa4b

13122420210251 has 32 divisors (see below), whose sum is σ = 14680278068736. Its totient is φ = 11629241280000.

The previous prime is 13122420210199. The next prime is 13122420210287. The reversal of 13122420210251 is 15201202422131.

It is a cyclic number.

It is not a de Polignac number, because 13122420210251 - 238 = 12847542303307 is a prime.

It is a super-3 number, since 3×131224202102513 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13122420210251.

It is not an unprimeable number, because it can be changed into a prime (13122420210751) 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, 43722440 + ... + 44021546.

It is an arithmetic number, because the mean of its divisors is an integer number (458758689648).

Almost surely, 213122420210251 is an apocalyptic number.

13122420210251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122420210251 is a deficient number, since it is larger than the sum of its proper divisors (1557857858485).

13122420210251 is a wasteful number, since it uses less digits than its factorization.

13122420210251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299763.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 13122420210251 its reverse (15201202422131), we get a palindrome (28323622632382).

The spelling of 13122420210251 in words is "thirteen trillion, one hundred twenty-two billion, four hundred twenty million, two hundred ten thousand, two hundred fifty-one".

Divisors: 1 11 61 151 433 671 1661 4763 9211 26413 65383 101321 290543 299107 719213 3290177 3988363 18245527 43871993 45165157 129513331 200700797 496816727 1424646641 2755074577 7900313191 19556512981 30305820347 86903445101 215121642791 1192947291841 13122420210251