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202112413041 = 37112179774789
BaseRepresentation
bin1011110000111011010…
…1101010110101110001
3201022200120011101102110
42330032311222311301
511302411234204131
6232503230235533
720413351110420
oct2741665526561
9638616141373
10202112413041
1178796208400
1233207055ba9
131609cb65016
149ad487d2b7
1553cdb3e646
hex2f0ed6ad71

202112413041 has 96 divisors (see below), whose sum is σ = 358879368960. Its totient is φ = 98695618560.

The previous prime is 202112413039. The next prime is 202112413049. The reversal of 202112413041 is 140314211202.

It is not a de Polignac number, because 202112413041 - 21 = 202112413039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 202112412999 and 202112413017.

It is not an unprimeable number, because it can be changed into a prime (202112413049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42201075 + ... + 42205863.

It is an arithmetic number, because the mean of its divisors is an integer number (3738326760).

Almost surely, 2202112413041 is an apocalyptic number.

202112413041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202112413041 is a deficient number, since it is larger than the sum of its proper divisors (156766955919).

202112413041 is a wasteful number, since it uses less digits than its factorization.

202112413041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 202112413041 its reverse (140314211202), we get a palindrome (342426624243).

The spelling of 202112413041 in words is "two hundred two billion, one hundred twelve million, four hundred thirteen thousand, forty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 121 187 231 357 363 561 847 977 1309 2057 2541 2931 3927 4789 6171 6839 10747 14367 14399 16609 20517 32241 33523 43197 49827 52679 75229 81413 100569 116263 118217 158037 182699 225687 244239 348789 354651 368753 548097 569891 579469 827519 895543 1106259 1278893 1709673 1738407 2009689 2482557 2686629 3836679 4056283 4678853 6029067 6268801 9850973 12168849 14036559 14067823 18806403 29552919 32751971 42203469 51467383 68956811 79540501 98255913 154402149 206870433 238621503 360271681 556783507 566141213 874945511 1080815043 1670350521 1698423639 2624836533 3962988491 6124618577 9624400621 11888965473 18373855731 28873201863 67370804347 202112413041