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10727212402212 = 22353107467337543
BaseRepresentation
bin1001110000011001111110…
…1011110100011000100100
31101222111210212122220122220
42130012133223310120210
52401223312333332322
634452002514352340
72155005215644365
oct234063753643044
941874725586586
1010727212402212
11346642681a219
12125300988b6b0
135ca7582b33b7
142912b2565b6c
1513908d03955c
hex9c19faf4624

10727212402212 has 96 divisors (see below), whose sum is σ = 25795965791232. Its totient is φ = 3468030723456.

The previous prime is 10727212402169. The next prime is 10727212402237. The reversal of 10727212402212 is 21220421272701.

10727212402212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31611513 + ... + 31949055.

It is an arithmetic number, because the mean of its divisors is an integer number (268707976992).

Almost surely, 210727212402212 is an apocalyptic number.

10727212402212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10727212402212 is an abundant number, since it is smaller than the sum of its proper divisors (15068753389020).

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

10727212402212 is a wasteful number, since it uses less digits than its factorization.

10727212402212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338177 (or 338175 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

Adding to 10727212402212 its reverse (21220421272701), we get a palindrome (31947633674913).

The spelling of 10727212402212 in words is "ten trillion, seven hundred twenty-seven billion, two hundred twelve million, four hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 53 106 107 159 212 214 318 321 428 467 636 642 934 1284 1401 1868 2802 5604 5671 11342 17013 22684 24751 34026 49502 49969 68052 74253 99004 99938 148506 149907 199876 297012 299814 337543 599628 675086 1012629 1350172 2025258 2648357 4050516 5296714 7945071 10593428 15890142 17889779 31780284 35779558 36117101 53669337 71559116 72234202 107338674 108351303 144468404 157632581 214677348 216702606 315265162 433405212 472897743 630530324 945795486 1891590972 1914206353 3828412706 5742619059 7656825412 8354526793 11485238118 16709053586 16866686167 22970476236 25063580379 33418107172 33733372334 50127160758 50600058501 67466744668 100254321516 101200117002 202400234004 893934366851 1787868733702 2681803100553 3575737467404 5363606201106 10727212402212