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10012112211111 = 319297922414027
BaseRepresentation
bin1001000110110010000001…
…1001000100110010100111
31022110011000022111022212220
42101230200121010302213
52303014301211223421
633143300103443423
72052231321422163
oct221544031046247
938404008438786
1010012112211111
11321012736754a
1211584b8156573
135781a461a94a
142688359d9ca3
1512568847b3c6
hex91b20644ca7

10012112211111 has 96 divisors (see below), whose sum is σ = 14787741830400. Its totient is φ = 6001602647040.

The previous prime is 10012112211107. The next prime is 10012112211131. The reversal of 10012112211111 is 11111221121001.

It is not a de Polignac number, because 10012112211111 - 22 = 10012112211107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012112211131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2486243880 + ... + 2486247906.

It is an arithmetic number, because the mean of its divisors is an integer number (154038977400).

Almost surely, 210012112211111 is an apocalyptic number.

10012112211111 is a deficient number, since it is larger than the sum of its proper divisors (4775629619289).

10012112211111 is a wasteful number, since it uses less digits than its factorization.

10012112211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10012112211111 its reverse (11111221121001), we get a palindrome (21123333332112).

The spelling of 10012112211111 in words is "ten trillion, twelve billion, one hundred twelve million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 3 19 29 57 79 87 237 241 551 723 1501 1653 2291 4027 4503 4579 6241 6873 6989 12081 13737 18723 19039 20967 43529 57117 76513 116783 118579 130587 132791 180989 229539 318133 350349 355737 361741 398373 542967 552131 954399 970507 1085223 1504081 1656393 2218877 2911521 3438791 4512243 6044527 6656631 9225857 10316373 10490489 18133581 18439633 25132507 27677571 28144703 28577539 31471467 43618349 55318899 75397521 76670053 84434109 85732617 130855047 175291283 230010159 477517633 525873849 534749357 728842703 828748631 1432552899 1456731007 1604248071 2186528109 2223431537 2486245893 4370193021 6056934187 6670294611 13848011357 18170802561 41544034071 42245199203 115081749553 126735597609 175651091423 345245248659 526953274269 3337370737037 10012112211111