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331121212220232 = 233271738646266599
BaseRepresentation
bin100101101001001110010101…
…0001110110110001101001000
31121102101212201121020112212100
41023102130222032312031020
5321400042220312021412
63132122552424313400
7126513501213613440
oct11322345216661510
91542355647215770
10331121212220232
1196561798a93595
1231179614012860
131129b79a1a9725
145baa4d0563120
1528433514a5edc
hex12d272a3b6348

331121212220232 has 96 divisors (see below), whose sum is σ = 1085187166128000. Its totient is φ = 89040998241792.

The previous prime is 331121212220219. The next prime is 331121212220269. The reversal of 331121212220232 is 232022212121133.

331121212220232 is a `hidden beast` number, since 3 + 311 + 2 + 121 + 2 + 220 + 2 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331121212220196 and 331121212220205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19323124732 + ... + 19323141867.

It is an arithmetic number, because the mean of its divisors is an integer number (11304032980500).

Almost surely, 2331121212220232 is an apocalyptic number.

It is an amenable number.

331121212220232 is an abundant number, since it is smaller than the sum of its proper divisors (754065953907768).

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

331121212220232 is a wasteful number, since it uses less digits than its factorization.

331121212220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38646266635 (or 38646266628 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331121212220232 its reverse (232022212121133), we get a palindrome (563143424341365).

Subtracting from 331121212220232 its reverse (232022212121133), we obtain a palindrome (99099000099099).

The spelling of 331121212220232 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 38646266599 77292533198 115938799797 154585066396 231877599594 270523866193 309170132792 347816399391 463755199188 541047732386 656986532183 695632798782 811571598579 927510398376 1082095464772 1313973064366 1391265597564 1623143197158 1970959596549 2164190929544 2434714795737 2627946128732 2782531195128 3246286394316 3941919193098 4598905725281 4869429591474 5255892257464 5912878789647 6492572788632 7883838386196 9197811450562 9738859182948 11825757579294 13796717175843 15767676772392 18395622901124 19477718365896 23651515158588 27593434351686 36791245802248 41390151527529 47303030317176 55186868703372 82780303055058 110373737406744 165560606110116 331121212220232