Search a number
-
+
202102302220112 = 2477933827675247
BaseRepresentation
bin101101111100111110011011…
…111011101001111101010000
3222111120210100221011011001202
4231330332123323221331100
5202442221003332020422
61553500303234050332
760366260311330220
oct5574763373517520
9874523327134052
10202102302220112
115943a117897288
121a8009441199a8
1388a021c2a44b8
1437c9b371c0080
151857228465b92
hexb7cf9bee9f50

202102302220112 has 80 divisors (see below), whose sum is σ = 453191020584960. Its totient is φ = 85516221757824.

The previous prime is 202102302220111. The next prime is 202102302220153. The reversal of 202102302220112 is 211022203201202.

It is a super-4 number, since 4×2021023022201124 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102302220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298963673 + ... + 299638919.

It is an arithmetic number, because the mean of its divisors is an integer number (5664887757312).

Almost surely, 2202102302220112 is an apocalyptic number.

It is an amenable number.

202102302220112 is an abundant number, since it is smaller than the sum of its proper divisors (251088718364848).

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

202102302220112 is a wasteful number, since it uses less digits than its factorization.

202102302220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709168 (or 709162 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 202102302220112 its reverse (211022203201202), we get a palindrome (413124505421314).

The spelling of 202102302220112 in words is "two hundred two trillion, one hundred two billion, three hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 4424 8848 33827 67654 135308 236789 270616 473578 541232 675247 947156 1350494 1894312 2672333 2700988 3788624 4726729 5344666 5401976 9453458 10689332 10803952 18706331 18906916 21378664 37412662 37813832 42757328 53344513 74825324 75627664 106689026 149650648 213378052 299301296 373411591 426756104 746823182 853512208 1493646364 2987292728 5974585456 22841580269 45683160538 91366321076 159891061883 182732642152 319782123766 365465284304 639564247532 1279128495064 1804484841251 2558256990128 3608969682502 7217939365004 12631393888757 14435878730008 25262787777514 28871757460016 50525575555028 101051151110056 202102302220112