Search a number
-
+
121202002033101 = 33111396834298509
BaseRepresentation
bin11011100011101110001010…
…010001101111100111001101
3120220010210112220122222001000
4123203232022101233213031
5111341233200010024401
61105435233040010513
734346361411660333
oct3343561221574715
9526123486588030
10121202002033101
1135689531466410
1211715915300a39
1352823b8721242
1421d02cb421b53
15e02b1eea6186
hex6e3b8a46f9cd

121202002033101 has 64 divisors (see below), whose sum is σ = 197580152448000. Its totient is φ = 72820508207040.

The previous prime is 121202002033097. The next prime is 121202002033111. The reversal of 121202002033101 is 101330200202121.

121202002033101 is a `hidden beast` number, since 12 + 120 + 20 + 0 + 203 + 310 + 1 = 666.

It is not a de Polignac number, because 121202002033101 - 22 = 121202002033097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121202002033111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26047035 + ... + 30345543.

It is an arithmetic number, because the mean of its divisors is an integer number (3087189882000).

Almost surely, 2121202002033101 is an apocalyptic number.

121202002033101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121202002033101 is a deficient number, since it is larger than the sum of its proper divisors (76378150414899).

121202002033101 is a wasteful number, since it uses less digits than its factorization.

121202002033101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299351 (or 4299345 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121202002033101 its reverse (101330200202121), we get a palindrome (222532202235222).

The spelling of 121202002033101 in words is "one hundred twenty-one trillion, two hundred two billion, two million, thirty-three thousand, one hundred one".

Divisors: 1 3 9 11 27 33 99 139 297 417 683 1251 1529 2049 3753 4587 6147 7513 13761 18441 22539 41283 67617 94937 202851 284811 854433 1044307 2563299 3132921 4298509 9398763 12895527 28196289 38686581 47283599 116059743 141850797 425552391 597492751 1276657173 1792478253 2935881647 5377434759 6572420261 8807644941 16132304277 19717260783 26422934823 32294698117 59151782349 79268804469 96884094351 177455347047 290652283053 408087548933 871956849159 1224262646799 3672787940397 4488963038263 11018363821191 13466889114789 40400667344367 121202002033101