Search a number
-
+
202113121010328 = 2332111071712381179
BaseRepresentation
bin101101111101001000100000…
…110010000100001010011000
3222111121211021220121122012200
4231331020200302010022120
5202442410132434312303
61553505252550210200
760400122360455523
oct5575104062041230
9874554256548180
10202113121010328
1159443769806520
121a802a63353960
1388a12547c3408
1437ca481d9dbba
15185765d15d3a3
hexb7d220c84298

202113121010328 has 96 divisors (see below), whose sum is σ = 597158225726400. Its totient is φ = 61245803102400.

The previous prime is 202113121010299. The next prime is 202113121010329. The reversal of 202113121010328 is 823010121311202.

It is a happy number.

202113121010328 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 1 + 312 + 10 + 10 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202113121010329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83688843 + ... + 86070021.

It is an arithmetic number, because the mean of its divisors is an integer number (6220398184650).

Almost surely, 2202113121010328 is an apocalyptic number.

It is an amenable number.

202113121010328 is an abundant number, since it is smaller than the sum of its proper divisors (395045104716072).

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

202113121010328 is a wasteful number, since it uses less digits than its factorization.

202113121010328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488373 (or 2488366 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 202113121010328 in words is "two hundred two trillion, one hundred thirteen billion, one hundred twenty-one million, ten thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 107171 214342 321513 428684 643026 857368 964539 1178881 1286052 1929078 2357762 2381179 2572104 3536643 3858156 4715524 4762358 7073286 7143537 7716312 9431048 9524716 10609929 14146572 14287074 19049432 21219858 21430611 26192969 28293144 28574148 42439716 42861222 52385938 57148296 78578907 84879432 85722444 104771876 157157814 171444888 209543752 235736721 314315628 471473442 628631256 942946884 1885893768 255193334609 510386669218 765580003827 1020773338436 1531160007654 2041546676872 2296740011481 2807126680699 3062320015308 4593480022962 5614253361398 6124640030616 8421380042097 9186960045924 11228506722796 16842760084194 18373920091848 22457013445592 25264140126291 33685520168388 50528280252582 67371040336776 101056560505164 202113121010328