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101222112222112 = 2572101639157609
BaseRepresentation
bin10111000000111110011100…
…000010101101101110100000
3111021101201222001001220112111
4113000332130002231232200
5101231410341212101422
6555140444005005104
730215025205502200
oct2700763402555640
9437351861056474
10101222112222112
112a286069548aa2
12b4296346b3794
1344632868b553b
141add267d70400
15ba80458a4a77
hex5c0f9c0adba0

101222112222112 has 72 divisors (see below), whose sum is σ = 234111927706020. Its totient is φ = 42951391257600.

The previous prime is 101222112222061. The next prime is 101222112222113. The reversal of 101222112222112 is 211222211222101.

It can be written as a sum of positive squares in 2 ways, for example, as 82368766124176 + 18853346097936 = 9075724^2 + 4342044^2 .

It is not an unprimeable number, because it can be changed into a prime (101222112222113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319420437 + ... + 319737172.

Almost surely, 2101222112222112 is an apocalyptic number.

It is an amenable number.

101222112222112 is an abundant number, since it is smaller than the sum of its proper divisors (132889815483908).

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

101222112222112 is a wasteful number, since it uses less digits than its factorization.

101222112222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639157734 (or 639157719 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 101222112222112 its reverse (211222211222101), we get a palindrome (312444323444213).

The spelling of 101222112222112 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 101 112 196 202 224 392 404 707 784 808 1414 1568 1616 2828 3232 4949 5656 9898 11312 19796 22624 39592 79184 158368 639157609 1278315218 2556630436 4474103263 5113260872 8948206526 10226521744 17896413052 20453043488 31318722841 35792826104 62637445682 64554918509 71585652208 125274891364 129109837018 143171304416 250549782728 258219674036 451884429563 501099565456 516439348072 903768859126 1002199130912 1032878696144 1807537718252 2065757392288 3163191006941 3615075436504 6326382013882 7230150873008 12652764027764 14460301746016 25305528055528 50611056111056 101222112222112