Search a number
-
+
200101010220212 = 227313712134123681
BaseRepresentation
bin101101011111110110100101…
…101000100010010010110100
3222020111110200110011220102112
4231133312211220202102310
5202211423332104021322
61545325045101030152
760101551400111453
oct5537664550422264
9866443613156375
10200101010220212
11588383a8712892
121a538abb555358
1387865a117665a
14375ad24cd2b9a
151820146d285e2
hexb5fda5a224b4

200101010220212 has 48 divisors (see below), whose sum is σ = 357859622882832. Its totient is φ = 97878876733440.

The previous prime is 200101010220173. The next prime is 200101010220247. The reversal of 200101010220212 is 212022010101002.

It can be written as a sum of positive squares in 8 ways, for example, as 3293949125776 + 196807061094436 = 1814924^2 + 14028794^2 .

It is a super-2 number, since 2×2001010102202122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46463012 + ... + 50586692.

It is an arithmetic number, because the mean of its divisors is an integer number (7455408810059).

Almost surely, 2200101010220212 is an apocalyptic number.

It is an amenable number.

200101010220212 is a deficient number, since it is larger than the sum of its proper divisors (157758612662620).

200101010220212 is a wasteful number, since it uses less digits than its factorization.

200101010220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125108 (or 4125106 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200101010220212 its reverse (212022010101002), we get a palindrome (412123020321214).

The spelling of 200101010220212 in words is "two hundred trillion, one hundred one billion, ten million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 73 137 146 274 292 548 1213 2426 4852 10001 20002 40004 88549 166181 177098 332362 354196 664724 4123681 8247362 12131213 16494724 24262426 48524852 301028713 564944297 602057426 1129888594 1204114852 2259777188 5002025053 10004050106 20008100212 41240933681 82481867362 164963734724 365147828869 685277432261 730295657738 1370554864522 1460591315476 2741109729044 50025252555053 100050505110106 200101010220212