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12101431221 = 3211122236679
BaseRepresentation
bin10110100010100110…
…10010111110110101
31011020100222101211100
423101103102332311
5144240431244341
65320451400313
7605612316405
oct132123227665
934210871740
1012101431221
11514aa40430
1224188b3099
1311ab1898b9
1482b2a2805
154ac6093b6
hex2d14d2fb5

12101431221 has 12 divisors (see below), whose sum is σ = 19068922080. Its totient is φ = 7334200680.

The previous prime is 12101431211. The next prime is 12101431229. The reversal of 12101431221 is 12213410121.

12101431221 is a `hidden beast` number, since 1 + 2 + 10 + 1 + 431 + 221 = 666.

It is not a de Polignac number, because 12101431221 - 222 = 12097236917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101431194 and 12101431203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101431229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61118241 + ... + 61118438.

It is an arithmetic number, because the mean of its divisors is an integer number (1589076840).

Almost surely, 212101431221 is an apocalyptic number.

12101431221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101431221 is a deficient number, since it is larger than the sum of its proper divisors (6967490859).

12101431221 is a wasteful number, since it uses less digits than its factorization.

12101431221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122236696 (or 122236693 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12101431221 its reverse (12213410121), we get a palindrome (24314841342).

The spelling of 12101431221 in words is "twelve billion, one hundred one million, four hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 122236679 366710037 1100130111 1344603469 4033810407 12101431221