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13131132323211 = 35745716892023
BaseRepresentation
bin1011111100010101010001…
…1110100100010110001011
31201111022202012002202100000
42333011110132210112023
53210120024333320321
643532205305214043
72523456462064530
oct277052436442613
951438665082300
1013131132323211
114202977961031
121580a99791323
1374335031a186
1433579ba44d87
1517b886b18826
hexbf1547a458b

13131132323211 has 48 divisors (see below), whose sum is σ = 22528824840704. Its totient is φ = 7487084695104.

The previous prime is 13131132323189. The next prime is 13131132323263. The reversal of 13131132323211 is 11232323113131.

13131132323211 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 11 + 323 + 2 + 321 + 1 = 666.

It is not a de Polignac number, because 13131132323211 - 29 = 13131132322699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13131132323011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7668655 + ... + 9223368.

Almost surely, 213131132323211 is an apocalyptic number.

13131132323211 is a deficient number, since it is larger than the sum of its proper divisors (9397692517493).

13131132323211 is an equidigital number, since it uses as much as digits as its factorization.

13131132323211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16892502 (or 16892490 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13131132323211 its reverse (11232323113131), we get a palindrome (24363455436342).

The spelling of 13131132323211 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 63 81 189 243 457 567 1371 1701 3199 4113 9597 12339 28791 37017 86373 111051 259119 777357 16892023 50676069 118244161 152028207 354732483 456084621 1064197449 1368253863 3192592347 4104761589 7719654511 9577777041 23158963533 28733331123 54037581577 69476890599 162112744731 208430671797 486338234193 625292015391 1459014702579 1875876046173 4377044107737 13131132323211