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12321322101 = 33111710722807
BaseRepresentation
bin10110111100110100…
…00111010001110101
31011210200202000102000
423132122013101311
5200213224301401
65354344405513
7614222336604
oct133632072165
934720660360
1012321322101
115253079730
12247a476899
1312148b974a
1484c581a3b
154c1a92186
hex2de687475

12321322101 has 64 divisors (see below), whose sum is σ = 21282600960. Its totient is φ = 6962215680.

The previous prime is 12321322087. The next prime is 12321322109. The reversal of 12321322101 is 10122312321.

12321322101 is a `hidden beast` number, since 12 + 321 + 322 + 10 + 1 = 666.

It is not a de Polignac number, because 12321322101 - 29 = 12321321589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321322109) 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 63 ways as a sum of consecutive naturals, for example, 528840 + ... + 551646.

It is an arithmetic number, because the mean of its divisors is an integer number (332540640).

Almost surely, 212321322101 is an apocalyptic number.

12321322101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12321322101 is a deficient number, since it is larger than the sum of its proper divisors (8961278859).

12321322101 is a wasteful number, since it uses less digits than its factorization.

12321322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22951 (or 22945 counting only the distinct ones).

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

Adding to 12321322101 its reverse (10122312321), we get a palindrome (22443634422).

The spelling of 12321322101 in words is "twelve billion, three hundred twenty-one million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 11 17 27 33 51 99 107 153 187 297 321 459 561 963 1177 1683 1819 2889 3531 5049 5457 10593 16371 20009 22807 31779 49113 60027 68421 180081 205263 250877 387719 540243 615789 752631 1163157 2257893 2440349 3489471 4264909 6773679 7321047 10468413 12794727 21963141 26843839 38384181 41485933 65889423 80531517 115152543 124457799 241594551 373373397 456345263 724783653 1120120191 1369035789 4107107367 12321322101