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201233300031132 = 223194130237121033
BaseRepresentation
bin101101110000010101000111…
…010111011000011010011100
3222101111201022200020000121020
4231300111013113120122130
5202334001244301444012
61551553145105204140
760246424524521445
oct5560250727303234
9871451280200536
10201233300031132
11591346217a9726
121a6a0441030650
1388392ac832205
143799a5a9802cc
15183e817460a8c
hexb705475d869c

201233300031132 has 96 divisors (see below), whose sum is σ = 506479840312320. Its totient is φ = 61976905067520.

The previous prime is 201233300031109. The next prime is 201233300031167. The reversal of 201233300031132 is 231130003332102.

201233300031132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24698488 + ... + 31819520.

It is an arithmetic number, because the mean of its divisors is an integer number (5275831669920).

Almost surely, 2201233300031132 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 201233300031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253239920156160).

201233300031132 is an abundant number, since it is smaller than the sum of its proper divisors (305246540281188).

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

201233300031132 is a wasteful number, since it uses less digits than its factorization.

201233300031132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7124123 (or 7124121 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 201233300031132 its reverse (231130003332102), we get a palindrome (432363303363234).

The spelling of 201233300031132 in words is "two hundred one trillion, two hundred thirty-three billion, three hundred million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1558 2337 3023 3116 4674 6046 9069 9348 12092 18138 36276 57437 114874 123943 172311 229748 247886 344622 371829 495772 689244 743658 1487316 2354917 4709834 7064751 7121033 9419668 14129502 14242066 21363099 28259004 28484132 42726198 85452396 135299627 270599254 291962353 405898881 541198508 583924706 811797762 875887059 1167849412 1623595524 1751774118 3503548236 5547284707 11094569414 16641854121 21526882759 22189138828 33283708242 43053765518 64580648277 66567416484 86107531036 129161296554 258322593108 409010772421 818021544842 882602193119 1227032317263 1636043089684 1765204386238 2454064634526 2647806579357 3530408772476 4908129269052 5295613158714 10591226317428 16769441669261 33538883338522 50308325007783 67077766677044 100616650015566 201233300031132