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201122202112 = 2913712112017
BaseRepresentation
bin1011101101001111010…
…0010100001000000000
3201020010112220110101121
42323103310110020000
511243344240431422
6232221054442024
720346665340166
oct2732364241000
9636115813347
10201122202112
1178328270267
1232b8b503314
1315c729746b0
149a3d15d236
155371c438c7
hex2ed3d14200

201122202112 has 160 divisors (see below), whose sum is σ = 441157014144. Its totient is φ = 91039334400.

The previous prime is 201122202103. The next prime is 201122202217. The reversal of 201122202112 is 211202221102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99712528 + ... + 99714544.

Almost surely, 2201122202112 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 201122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220578507072).

201122202112 is an abundant number, since it is smaller than the sum of its proper divisors (240034812032).

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

201122202112 is a wasteful number, since it uses less digits than its factorization.

201122202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201122202112 its reverse (211202221102), we get a palindrome (412324423214).

The spelling of 201122202112 in words is "two hundred one billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 208 211 256 284 416 422 512 568 832 844 923 1136 1664 1688 1846 2017 2272 2743 3328 3376 3692 4034 4544 5486 6656 6752 7384 8068 9088 10972 13504 14768 14981 16136 18176 21944 26221 27008 29536 29962 32272 36352 43888 52442 54016 59072 59924 64544 87776 104884 108032 118144 119848 129088 143207 175552 194753 209768 236288 239696 258176 286414 351104 389506 419536 425587 472576 479392 516352 572828 702208 779012 839072 851174 958784 1032704 1145656 1404416 1558024 1678144 1702348 1861691 1917568 2291312 3116048 3356288 3404696 3723382 3835136 4582624 5532631 6232096 6712576 6809392 7446764 7670272 9165248 11065262 12464192 13425152 13618784 14893528 18330496 22130524 24928384 27237568 29787056 30216677 36660992 44261048 49856768 54475136 59574112 60433354 73321984 88522096 99713536 108950272 119148224 120866708 177044192 217900544 238296448 241733416 354088384 392816801 476592896 483466832 708176768 785633602 953185792 966933664 1416353536 1571267204 1933867328 2832707072 3142534408 3867734656 6285068816 7735469312 12570137632 15470938624 25140275264 50280550528 100561101056 201122202112