Search a number
-
+
201121332021012 = 2231323531057620433
BaseRepresentation
bin101101101110101100110101…
…100011010100011100010100
3222101010000022102122202212110
4231232230311203110130110
5202330132441444133022
61551425510414151020
760235352045243244
oct5556546543243424
9871100272582773
10201121332021012
11590a1094781477
121a6827b31b2470
13882b8776ab8a0
14379447826bb24
15183b9626c400c
hexb6eb358d4714

201121332021012 has 96 divisors (see below), whose sum is σ = 537305024325888. Its totient is φ = 58076053161984.

The previous prime is 201121332020977. The next prime is 201121332021089. The reversal of 201121332021012 is 210120233121102.

It is a super-2 number, since 2×2011213320210122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201121332021012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528620053 + ... + 529000380.

It is an arithmetic number, because the mean of its divisors is an integer number (5596927336728).

Almost surely, 2201121332021012 is an apocalyptic number.

It is an amenable number.

201121332021012 is an abundant number, since it is smaller than the sum of its proper divisors (336183692304876).

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

201121332021012 is a wasteful number, since it uses less digits than its factorization.

201121332021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057620529 (or 1057620527 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 201121332021012 its reverse (210120233121102), we get a palindrome (411241565142114).

The spelling of 201121332021012 in words is "two hundred one trillion, one hundred twenty-one billion, three hundred thirty-two million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 53 69 78 92 106 138 156 159 212 276 299 318 598 636 689 897 1196 1219 1378 1794 2067 2438 2756 3588 3657 4134 4876 7314 8268 14628 15847 31694 47541 63388 95082 190164 1057620433 2115240866 3172861299 4230481732 6345722598 12691445196 13749065629 24325269959 27498131258 41247196887 48650539918 54996262516 56053882949 72975809877 82494393774 97301079836 112107765898 145951619754 164988787548 168161648847 224215531796 291903239508 316228509467 336323297694 632457018934 672646595388 728700478337 948685528401 1264914037868 1289239307827 1457400956674 1897371056802 2186101435011 2578478615654 2914801913348 3794742113604 3867717923481 4372202870022 5156957231308 7735435846962 8744405740044 15470871693924 16760111001751 33520222003502 50280333005253 67040444007004 100560666010506 201121332021012