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201010112212 = 2272133466801
BaseRepresentation
bin1011101100110100100…
…0101110011011010100
3201012211201222200221211
42323031020232123110
511243132042042322
6232202012151204
720344134522400
oct2731510563324
9635751880854
10201010112212
117827aa71488
1232b59a68504
1315c5568a000
149a2c302100
155366ea1b77
hex2ecd22e6d4

201010112212 has 72 divisors (see below), whose sum is σ = 443284515240. Its totient is φ = 79520313600.

The previous prime is 201010112179. The next prime is 201010112227. The reversal of 201010112212 is 212211010102.

It can be written as a sum of positive squares in 4 ways, for example, as 65789172036 + 135220940176 = 256494^2 + 367724^2 .

It is a super-2 number, since 2×2010101122122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 201010112192 and 201010112201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197212 + ... + 664012.

Almost surely, 2201010112212 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 201010112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221642257620).

201010112212 is an abundant number, since it is smaller than the sum of its proper divisors (242274403028).

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

201010112212 is a wasteful number, since it uses less digits than its factorization.

201010112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466858 (or 466823 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201010112212 its reverse (212211010102), we get a palindrome (413221122314).

The spelling of 201010112212 in words is "two hundred one billion, ten million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2197 2366 2548 4394 4732 8281 8788 15379 16562 30758 33124 61516 107653 215306 430612 466801 933602 1867204 3267607 6068413 6535214 12136826 13070428 22873249 24273652 42478891 45746498 78889369 84957782 91492996 157778738 169915564 297352237 315557476 552225583 594704474 1025561797 1104451166 1189408948 2051123594 2208902332 3865579081 4102247188 7178932579 7731158162 14357865158 15462316324 28715730316 50252528053 100505056106 201010112212