Search a number
-
+
201120200121 = 323315361127229
BaseRepresentation
bin1011101101001110110…
…0101011010110111001
3201020010102010202011210
42323103230223112321
511243343232400441
6232220543513333
720346642331401
oct2732354532671
9636112122153
10201120200121
1178327123125
1232b8a8b8849
1315c72423399
149a3cb9b801
15537199a616
hex2ed3b2b5b9

201120200121 has 128 divisors (see below), whose sum is σ = 302792048640. Its totient is φ = 118313395200.

The previous prime is 201120200101. The next prime is 201120200137. The reversal of 201120200121 is 121002021102.

It is not a de Polignac number, because 201120200121 - 25 = 201120200089 is a prime.

It is a super-2 number, since 2×2011202001212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201120200097 and 201120200106.

It is not an unprimeable number, because it can be changed into a prime (201120200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 878254035 + ... + 878254263.

It is an arithmetic number, because the mean of its divisors is an integer number (2365562880).

Almost surely, 2201120200121 is an apocalyptic number.

It is an amenable number.

201120200121 is a deficient number, since it is larger than the sum of its proper divisors (101671848519).

201120200121 is a wasteful number, since it uses less digits than its factorization.

201120200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201120200121 its reverse (121002021102), we get a palindrome (322122221223).

The spelling of 201120200121 in words is "two hundred one billion, one hundred twenty million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 23 31 53 61 69 93 127 159 183 229 381 687 713 1219 1403 1643 1891 2139 2921 3233 3657 3937 4209 4929 5267 5673 6731 7099 7747 8763 9699 11811 12137 13969 15801 20193 21297 23241 29083 36411 37789 41907 43493 74359 87249 90551 100223 113367 130479 154813 163277 178181 208661 223077 240157 271653 279151 300669 321287 376247 410591 433039 464439 489831 534543 625983 668909 720471 740357 837453 901573 963861 1128741 1231773 1299117 1541399 1774063 2006727 2221071 2305129 2704719 4624197 4799203 5322189 5523611 6915387 8653681 9443593 9959897 12728321 14397609 16570833 17028211 20736179 22951067 25961043 28330779 29879691 35452177 38184963 40803449 47783369 51084633 54995953 62208537 68853201 94025339 106356531 122410347 143350107 164987859 282076017 292751383 527874541 878254149 1099017487 1264906919 1583623623 2162582797 2914785509 3297052461 3794720757 6487748391 8744356527 67040066707 201120200121