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202133330124 = 2231131122940193
BaseRepresentation
bin1011110001000000010…
…1011101100011001100
3201022202000112002021020
42330100011131203030
511302432113030444
6232505254434140
720414023646235
oct2742005354314
9638660462236
10202133330124
11787a6aa4750
1233212062950
13160a42a99ab
149ad756608c
1553d08c2119
hex2f1015d8cc

202133330124 has 96 divisors (see below), whose sum is σ = 531564042240. Its totient is φ = 59226931200.

The previous prime is 202133330123. The next prime is 202133330129. The reversal of 202133330124 is 421033331202.

It is a junction number, because it is equal to n+sod(n) for n = 202133330094 and 202133330103.

It is not an unprimeable number, because it can be changed into a prime (202133330123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5008972 + ... + 5049164.

It is an arithmetic number, because the mean of its divisors is an integer number (5537125440).

Almost surely, 2202133330124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202133330124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265782021120).

202133330124 is an abundant number, since it is smaller than the sum of its proper divisors (329430712116).

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

202133330124 is a wasteful number, since it uses less digits than its factorization.

202133330124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41471 (or 41469 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 202133330124 its reverse (421033331202), we get a palindrome (623166661326).

The spelling of 202133330124 in words is "two hundred two billion, one hundred thirty-three million, three hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1229 1364 2046 2458 3687 4092 4916 7374 13519 14748 27038 38099 40193 40557 54076 76198 80386 81114 114297 120579 152396 160772 162228 228594 241158 419089 442123 457188 482316 838178 884246 1245983 1257267 1326369 1676356 1768492 2491966 2514534 2652738 3737949 4983932 5029068 5305476 7475898 13705813 14951796 27411626 41117439 49397197 54823252 82234878 98794394 148191591 164469756 197588788 296383182 543369167 592766364 1086738334 1531313107 1630107501 2173476668 3062626214 3260215002 4593939321 6125252428 6520430004 9187878642 16844444177 18375757284 33688888354 50533332531 67377776708 101066665062 202133330124