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13122112133 = 131759376073
BaseRepresentation
bin11000011100010001…
…11000101010000101
31020212111120100211002
430032020320222011
5203333230042013
610010032223045
7643115053454
oct141610705205
936774510732
1013122112133
1156240aa079
12266269aa85
1313117880c0
148c6a74b9b
1551c023358
hex30e238a85

13122112133 has 8 divisors (see below), whose sum is σ = 14962770648. Its totient is φ = 11400205824.

The previous prime is 13122112121. The next prime is 13122112147. The reversal of 13122112133 is 33121122131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11404129 + 13110708004 = 3377^2 + 114502^2 .

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 13122112133 - 212 = 13122108037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122112733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29687816 + ... + 29688257.

It is an arithmetic number, because the mean of its divisors is an integer number (1870346331).

Almost surely, 213122112133 is an apocalyptic number.

13122112133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13122112133 is a deficient number, since it is larger than the sum of its proper divisors (1840658515).

13122112133 is a wasteful number, since it uses less digits than its factorization.

13122112133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59376103.

The product of its digits is 216, while the sum is 20.

Adding to 13122112133 its reverse (33121122131), we get a palindrome (46243234264).

The spelling of 13122112133 in words is "thirteen billion, one hundred twenty-two million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 13 17 221 59376073 771888949 1009393241 13122112133