Search a number
-
+
121113231020100 = 2232521112233659699
BaseRepresentation
bin11011100010011011011111…
…000111001101000001000100
3120212211022102022100021010200
4123202123133013031001010
5111333304344120120400
61105330352241050500
734340066524551264
oct3342333707150104
9525738368307120
10121113231020100
113565491854a460
1211700680026a30
135276c0c402307
1421c9ca983b7a4
15e0067698db00
hex6e26df1cd044

121113231020100 has 108 divisors (see below), whose sum is σ = 414133848164400. Its totient is φ = 29360783275200.

The previous prime is 121113231020099. The next prime is 121113231020143. The reversal of 121113231020100 is 1020132311121.

121113231020100 is a `hidden beast` number, since 1 + 21 + 1 + 132 + 310 + 201 + 0 + 0 = 666.

It is a super-2 number, since 2×1211132310201002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 6116819950 + ... + 6116839749.

Almost surely, 2121113231020100 is an apocalyptic number.

121113231020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121113231020100 is an abundant number, since it is smaller than the sum of its proper divisors (293020617144300).

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

121113231020100 is a wasteful number, since it uses less digits than its factorization.

121113231020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233659730 (or 12233659720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121113231020100 its reverse (1020132311121), we get a palindrome (122133363331221).

The spelling of 121113231020100 in words is "one hundred twenty-one trillion, one hundred thirteen billion, two hundred thirty-one million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 12233659699 24467319398 36700979097 48934638796 61168298495 73401958194 110102937291 122336596990 134570256689 146803916388 183504895485 220205874582 244673193980 269140513378 305841492475 367009790970 403710770067 440411749164 538281026756 550514686455 611682984950 672851283445 734019581940 807421540134 917524477425 1101029372910 1211132310201 1223365969900 1345702566890 1614843080268 1835048954850 2018553850335 2202058745820 2422264620402 2691405133780 2752573432275 3364256417225 3670097909700 4037107700670 4844529240804 5505146864550 6055661551005 6728512834450 8074215401340 10092769251675 11010293729100 12111323102010 13457025668900 20185538503350 24222646204020 30278307755025 40371077006700 60556615510050 121113231020100