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10112222000001 = 31123210113814153
BaseRepresentation
bin1001001100100110111101…
…1001100111001110000001
31022210201102010201112011210
42103021233121213032001
52311134312313000001
633301253552000333
72062404200533002
oct223115731471601
938721363645153
1010112222000001
11324962976a670
1211739968300a9
13584769aba614
1426d6114791a9
15128097150dd6
hex9326f667381

10112222000001 has 96 divisors (see below), whose sum is σ = 15543222920064. Its totient is φ = 5798517120000.

The previous prime is 10112221999973. The next prime is 10112222000003. The reversal of 10112222000001 is 10000022221101.

10112222000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10112222000001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10112222000003) 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, 2434917741 + ... + 2434921893.

It is an arithmetic number, because the mean of its divisors is an integer number (161908572084).

Almost surely, 210112222000001 is an apocalyptic number.

10112222000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112222000001 is a deficient number, since it is larger than the sum of its proper divisors (5431000920063).

10112222000001 is a wasteful number, since it uses less digits than its factorization.

10112222000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10112222000001 its reverse (10000022221101), we get a palindrome (20112244221102).

The spelling of 10112222000001 in words is "ten trillion, one hundred twelve billion, two hundred twenty-two million, one", and thus it is an aban number.

Divisors: 1 3 11 23 33 69 101 253 303 529 759 1111 1381 1587 2323 3333 4143 4153 5819 6969 12459 15191 17457 25553 31763 45573 45683 53429 76659 95289 95519 137049 139481 160287 286557 349393 418443 419453 587719 730549 1048179 1050709 1258359 1534291 1763157 2191647 2196937 3152127 3208063 4602873 4613983 5735293 6590811 8036039 9624189 9647419 13841949 17205879 24108117 24166307 28942257 35288693 63088223 72498921 73785449 105866079 106121609 131911739 189264669 221356347 221890637 318364827 395735217 579264593 665671911 811639939 1451029129 1737793779 2434919817 2440797007 3033969997 4353087387 6371910523 7322391021 9101909991 13323085639 19115731569 33373669967 39969256917 100121009901 146553942029 306430969697 439661826087 919292909091 3370740666667 10112222000001