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133101420100012 = 2271319711503161363
BaseRepresentation
bin11110010000111000010110…
…110111010011100110101100
3122110021101000211002110110101
4132100320112313103212230
5114421213202021200022
61151025540454120444
740015155161453410
oct3620702667234654
9573241024073411
10133101420100012
1139456aa4777181
1212b17b44350124
135936543b90090
1424c220097ad40
15105c417a3c627
hex790e16dd39ac

133101420100012 has 96 divisors (see below), whose sum is σ = 288162044577792. Its totient is φ = 52383341074176.

The previous prime is 133101420100001. The next prime is 133101420100069. The reversal of 133101420100012 is 210001024101331.

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, 824776443 + ... + 824937805.

It is an arithmetic number, because the mean of its divisors is an integer number (3001687964352).

Almost surely, 2133101420100012 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 133101420100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144081022288896).

133101420100012 is an abundant number, since it is smaller than the sum of its proper divisors (155060624477780).

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

133101420100012 is a wasteful number, since it uses less digits than its factorization.

133101420100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173087 (or 173085 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 133101420100012 its reverse (210001024101331), we get a palindrome (343102444201343).

The spelling of 133101420100012 in words is "one hundred thirty-three trillion, one hundred one billion, four hundred twenty million, one hundred thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 197 364 394 788 1379 2561 2758 5122 5516 10244 11503 17927 23006 35854 46012 71708 80521 149539 161042 161363 299078 322084 322726 598156 645452 1046773 1129541 2093546 2097719 2259082 2266091 4187092 4195438 4518164 4532182 8390876 9064364 14684033 15862637 29368066 29459183 31725274 31788511 58736132 58918366 63450548 63577022 117836732 127154044 206214281 222519577 412428562 413250643 445039154 824857124 826501286 890078308 1653002572 1856158589 2892754501 3712317178 5785509002 7424634356 11571018004 12993110123 24130061657 25986220246 48260123314 51972440492 96520246628 168910431599 337820863198 365663242033 675641726396 731326484066 1462652968132 2559642694231 4753622146429 5119285388462 9507244292858 10238570776924 19014488585716 33275355025003 66550710050006 133101420100012