Search a number
-
+
202133012331121 = 11171931202946187
BaseRepresentation
bin101101111101011011000010…
…011001011011101001110001
3222111200201122011122102121121
4231331123002121123221301
5202443221402124043441
61553522342434222241
760401425323061444
oct5575330231335161
9874621564572547
10202133012331121
1159451146956213
121a806894a24981
1388a30a4808c11
1437cb40ba7565b
151857e245acdd1
hexb7d6c265ba71

202133012331121 has 16 divisors (see below), whose sum is σ = 202522892120640. Its totient is φ = 201743618207040.

The previous prime is 202133012331083. The next prime is 202133012331137. The reversal of 202133012331121 is 121133210331202.

It is a cyclic number.

It is not a de Polignac number, because 202133012331121 - 27 = 202133012330993 is a prime.

It is a super-2 number, since 2×2021330123311212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202133012031121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4376381790 + ... + 4376427976.

It is an arithmetic number, because the mean of its divisors is an integer number (12657680757540).

Almost surely, 2202133012331121 is an apocalyptic number.

It is an amenable number.

202133012331121 is a deficient number, since it is larger than the sum of its proper divisors (389879789519).

202133012331121 is a wasteful number, since it uses less digits than its factorization.

202133012331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51264.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 202133012331121 its reverse (121133210331202), we get a palindrome (323266222662323).

The spelling of 202133012331121 in words is "two hundred two trillion, one hundred thirty-three billion, twelve million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 1117 1931 2029 46187 2156927 2266393 3917999 51590879 89187097 93713423 4376404883 99621987349 104677893491 180960619813 202133012331121