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201001100122212 = 2231317711067496761
BaseRepresentation
bin101101101100111100110111…
…001011000001100001100100
3222100200111222021010111000120
4231230330313023001201210
5202321200223112402322
61551254344115241540
760223564432046115
oct5554746713014144
9870614867114016
10201001100122212
11590550a6a27355
121a6634398a92b0
13882042644bbc0
14378c7101dc20c
1518387771b2a5c
hexb6cf372c1864

201001100122212 has 96 divisors (see below), whose sum is σ = 542322514992384. Its totient is φ = 57388625817600.

The previous prime is 201001100122211. The next prime is 201001100122213. The reversal of 201001100122212 is 212221001100102.

201001100122212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201001100122211) and next prime (201001100122213).

It is a junction number, because it is equal to n+sod(n) for n = 201001100122191 and 201001100122200.

It is not an unprimeable number, because it can be changed into a prime (201001100122211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533560089 + ... + 533936672.

It is an arithmetic number, because the mean of its divisors is an integer number (5649192864504).

Almost surely, 2201001100122212 is an apocalyptic number.

It is an amenable number.

201001100122212 is an abundant number, since it is smaller than the sum of its proper divisors (341321414870172).

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

201001100122212 is a wasteful number, since it uses less digits than its factorization.

201001100122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067496869 (or 1067496867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201001100122212 its reverse (212221001100102), we get a palindrome (413222101222314).

The spelling of 201001100122212 in words is "two hundred one trillion, one billion, one hundred million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 71 78 102 142 156 204 213 221 284 426 442 663 852 884 923 1207 1326 1846 2414 2652 2769 3621 3692 4828 5538 7242 11076 14484 15691 31382 47073 62764 94146 188292 1067496761 2134993522 3202490283 4269987044 6404980566 12809961132 13877457893 18147444937 27754915786 36294889874 41632373679 54442334811 55509831572 72589779748 75792270031 83264747358 108884669622 151584540062 166529494716 217769339244 227376810093 235916784181 303169080124 454753620186 471833568362 707750352543 909507240372 943667136724 985299510403 1288468590527 1415500705086 1970599020806 2576937181054 2831001410172 2955898531209 3865405771581 3941198041612 5153874362108 5911797062418 7730811543162 11823594124836 15461623086324 16750091676851 33500183353702 50250275030553 67000366707404 100500550061106 201001100122212