Search a number
-
+
20121402233205 = 3257138215984959
BaseRepresentation
bin1001001001100111000010…
…00010000101000101110101
32122020120212010011221111100
410210303201002011011311
510114132112432430310
6110443351121200313
74144503051000510
oct444634102050565
978216763157440
1020121402233205
116458490aa6779
12230b7b4a90099
13b2c594b4c1a0
144d7c498d7d77
1524d60cec2ec0
hex124ce1085175

20121402233205 has 96 divisors (see below), whose sum is σ = 42977949880320. Its totient is φ = 8480446087680.

The previous prime is 20121402233147. The next prime is 20121402233221. The reversal of 20121402233205 is 50233220412102.

20121402233205 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 402 + 233 + 20 + 5 = 666.

It is not a de Polignac number, because 20121402233205 - 212 = 20121402229109 is a prime.

It is a super-2 number, since 2×201214022332052 (a number of 27 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 95 ways as a sum of consecutive naturals, for example, 369516 + ... + 6354474.

It is an arithmetic number, because the mean of its divisors is an integer number (447686977920).

Almost surely, 220121402233205 is an apocalyptic number.

It is an amenable number.

20121402233205 is an abundant number, since it is smaller than the sum of its proper divisors (22856547647115).

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

20121402233205 is a wasteful number, since it uses less digits than its factorization.

20121402233205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985811 (or 5985808 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20121402233205 its reverse (50233220412102), we get a palindrome (70354622645307).

The spelling of 20121402233205 in words is "twenty trillion, one hundred twenty-one billion, four hundred two million, two hundred thirty-three thousand, two hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 821 1365 2463 4095 4105 5747 7389 10673 12315 17241 28735 32019 36945 51723 53365 74711 86205 96057 160095 224133 258615 373555 480285 672399 1120665 3361995 5984959 17954877 29924795 41894713 53864631 77804467 89774385 125684139 209473565 233413401 269323155 377052417 389022335 544631269 628420695 700240203 1167067005 1633893807 1885262085 2723156345 3501201015 4901681421 4913651339 8169469035 14740954017 24508407105 24568256695 34395559373 44222862051 63877467407 73704770085 103186678119 171977796865 191632402221 221114310255 309560034357 319387337035 447142271849 515933390595 574897206663 958162011105 1341426815547 1547800171785 2235711359245 2874486033315 4024280446641 6707134077735 20121402233205