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202142212404 = 2231121159312239
BaseRepresentation
bin1011110001000010011…
…1010110000100110100
3201022202122020100110120
42330100213112010310
511302441401244104
6232510213051540
720414162312136
oct2742047260464
9638678210416
10202142212404
1178801011080
1233215026bb0
13160a6099892
149ad87d9056
1553d1578cd9
hex2f109d6134

202142212404 has 96 divisors (see below), whose sum is σ = 517896529920. Its totient is φ = 60857126400.

The previous prime is 202142212381. The next prime is 202142212417. The reversal of 202142212404 is 404212241202.

It is a happy number.

It is a super-2 number, since 2×2021422124042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 16510117 + ... + 16522355.

It is an arithmetic number, because the mean of its divisors is an integer number (5394755520).

Almost surely, 2202142212404 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 202142212404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258948264960).

202142212404 is an abundant number, since it is smaller than the sum of its proper divisors (315754317516).

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

202142212404 is a wasteful number, since it uses less digits than its factorization.

202142212404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13061 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 202142212404 its reverse (404212241202), we get a palindrome (606354453606).

The spelling of 202142212404 in words is "two hundred two billion, one hundred forty-two million, two hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 211 422 593 633 844 1186 1266 1779 2321 2372 2532 3558 4642 6523 6963 7116 9284 12239 13046 13926 19569 24478 26092 27852 36717 39138 48956 73434 78276 125123 134629 146868 250246 269258 375369 403887 500492 538516 750738 807774 1376353 1501476 1615548 2582429 2752706 4129059 5164858 5505412 7257727 7747287 8258118 10329716 14515454 15494574 16516236 21773181 28406719 29030908 30989148 43546362 56813438 79834997 85220157 87092724 113626876 159669994 170440314 239504991 319339988 340880628 479009982 958019964 1531380397 3062760794 4594141191 6125521588 9188282382 16845184367 18376564764 33690368734 50535553101 67380737468 101071106202 202142212404