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12101344244332 = 22721791607214639
BaseRepresentation
bin1011000000011001000001…
…0100110011001001101100
31120211212200111011010121021
42300012100110303021230
53041232023111304312
641423140352543524
72356202406614500
oct260062024631154
946755614133537
1012101344244332
113946173387632
1214353a3851ba4
1369a1c8858975
142db9cb39a300
1515ebb5189c07
hexb019053326c

12101344244332 has 72 divisors (see below), whose sum is σ = 24788035238400. Its totient is φ = 5154083405856.

The previous prime is 12101344244279. The next prime is 12101344244383. The reversal of 12101344244332 is 23344244310121.

It is a super-2 number, since 2×121013442443322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56272669 + ... + 56487307.

It is an arithmetic number, because the mean of its divisors is an integer number (344278267200).

Almost surely, 212101344244332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101344244332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394017619200).

12101344244332 is an abundant number, since it is smaller than the sum of its proper divisors (12686690994068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12101344244332 is a wasteful number, since it uses less digits than its factorization.

12101344244332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216443 (or 216434 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 12101344244332 its reverse (23344244310121), we get a palindrome (35445588554453).

The spelling of 12101344244332 in words is "twelve trillion, one hundred one billion, three hundred forty-four million, two hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 179 196 358 716 1253 1607 2506 3214 5012 6428 8771 11249 17542 22498 35084 44996 78743 157486 214639 287653 314972 429278 575306 858556 1150612 1502473 2013571 3004946 4027142 6009892 8054284 10517311 14094997 21034622 28189994 38420381 42069244 56379988 76840762 153681524 268942667 344924873 537885334 689849746 1075770668 1379699492 1882598669 2414474111 3765197338 4828948222 7530394676 9657896444 16901318777 33802637554 61741552267 67605275108 123483104534 246966209068 432190865869 864381731738 1728763463476 3025336061083 6050672122166 12101344244332