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101212010212112 = 2417221888410513
BaseRepresentation
bin10111000000110101000001…
…111010100110101100010000
3111021100202220000100121222222
4113000311001322212230100
5101231224144103241422
6555132053335520212
730214216652024042
oct2700650172465420
9437322800317888
10101212010212112
112a28185519a3a8
12b427695529068
134462336a2c727
141adc98a455a92
15ba7b53a96842
hex5c0d41ea6b10

101212010212112 has 30 divisors (see below), whose sum is σ = 208312002861738. Its totient is φ = 47629181274112.

The previous prime is 101212010212021. The next prime is 101212010212193. The reversal of 101212010212112 is 211212010212101.

It can be written as a sum of positive squares in 3 ways, for example, as 72010566697216 + 29201443514896 = 8485904^2 + 5403836^2 .

It is a super-2 number, since 2×1012120102121122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10944200633 + ... + 10944209880.

Almost surely, 2101212010212112 is an apocalyptic number.

It is an amenable number.

101212010212112 is an abundant number, since it is smaller than the sum of its proper divisors (107099992649626).

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

101212010212112 is a wasteful number, since it uses less digits than its factorization.

101212010212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21888410555 (or 21888410532 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101212010212112 its reverse (211212010212101), we get a palindrome (312424020424213).

The spelling of 101212010212112 in words is "one hundred one trillion, two hundred twelve billion, ten million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 21888410513 43776821026 87553642052 175107284104 350214568208 372102978721 744205957442 1488411914884 2976823829768 5953647659536 6325750638257 12651501276514 25303002553028 50606005106056 101212010212112