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230121213102333 = 3473772735414261
BaseRepresentation
bin110100010100101101000101…
…001010011000100011111101
31010011210101002000011102010000
4310110231011022120203331
5220130301221023233313
62133232120442104513
766320465120254650
oct6424550512304375
91104711060142100
10230121213102333
1167361949604233
12219870487ab139
139b53450016607
1440b7cd7497897
151b90eaa596673
hexd14b452988fd

230121213102333 has 160 divisors (see below), whose sum is σ = 404252147307008. Its totient is φ = 127701792345600.

The previous prime is 230121213102329. The next prime is 230121213102461. The reversal of 230121213102333 is 333201312121032.

230121213102333 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 2 + 12 + 1 + 310 + 2 + 333 = 666.

It is not a de Polignac number, because 230121213102333 - 22 = 230121213102329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230121213102297 and 230121213102306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230121213102323) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 54006384423 + ... + 54006388683.

Almost surely, 2230121213102333 is an apocalyptic number.

It is an amenable number.

230121213102333 is a deficient number, since it is larger than the sum of its proper divisors (174130934204675).

230121213102333 is a wasteful number, since it uses less digits than its factorization.

230121213102333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8576 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 230121213102333 its reverse (333201312121032), we get a palindrome (563322525223365).

The spelling of 230121213102333 in words is "two hundred thirty trillion, one hundred twenty-one billion, two hundred thirteen million, one hundred two thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 27 37 63 81 111 189 259 333 567 727 777 999 2181 2331 2997 3541 4261 5089 6543 6993 10623 12783 15267 19629 20979 24787 26899 29827 31869 38349 45801 58887 74361 80697 89481 95607 115047 131017 137403 157657 188293 223083 242091 268443 286821 345141 393051 412209 472971 564879 669249 726273 805329 917119 1103599 1179153 1418913 1694637 2007747 2178819 2415987 2574307 2751357 3097747 3310797 3537459 4256739 5083911 7722921 8254071 9293241 9932391 10612377 12770217 15088201 15251733 18020149 21684229 23168763 24762213 27879723 29797173 45264603 54060447 65052687 69506289 74286639 83639169 89391519 95249359 105617407 114616639 135793809 162181341 195158061 208518867 250917507 285748077 316852221 343849917 407381427 486544023 558263437 585474183 666745513 802316473 857244231 950556663 1031549751 1222144281 1459632069 1674790311 1756422549 2000236539 2406949419 2571732693 2851669989 3094649253 3907844059 5024370933 6000709617 7220848257 7715198079 8555009967 9283947759 10969122127 11723532177 15073112799 18002128851 21662544771 32907366381 35170596531 45219338397 54006386553 64987634313 76783854889 98722099143 105511789593 230351564667 296166297429 316535368779 405857518699 691054694001 888498892287 1217572556097 2073164082003 2841002630893 3652717668291 6219492246009 8523007892679 10958153004873 25569023678037 32874459014619 76707071034111 230121213102333