Search a number
-
+
121131321210 = 23454328312289
BaseRepresentation
bin111000011001111111…
…1010100011101111010
3102120122211221200110000
41300303333110131322
53441034104234320
6131351424333430
711515514145654
oct1606377243572
9376584850400
10121131321210
114740a522529
121b586774276
13b5656b34c3
145c116b96d4
15323e476c90
hex1c33fd477a

121131321210 has 160 divisors (see below), whose sum is σ = 334488179520. Its totient is φ = 31436439552.

The previous prime is 121131321203. The next prime is 121131321211. The reversal of 121131321210 is 12123131121.

121131321210 is a `hidden beast` number, since 1 + 2 + 1 + 131 + 321 + 210 = 666.

121131321210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (121131321211) 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 79 ways as a sum of consecutive naturals, for example, 9850746 + ... + 9863034.

It is an arithmetic number, because the mean of its divisors is an integer number (2090551122).

Almost surely, 2121131321210 is an apocalyptic number.

121131321210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121131321210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167244089760).

121131321210 is an abundant number, since it is smaller than the sum of its proper divisors (213356858310).

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

121131321210 is a wasteful number, since it uses less digits than its factorization.

121131321210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12634 (or 12625 counting only the distinct ones).

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

Adding to 121131321210 its reverse (12123131121), we get a palindrome (133254452331).

The spelling of 121131321210 in words is "one hundred twenty-one billion, one hundred thirty-one million, three hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 258 270 283 387 405 430 566 645 774 810 849 1161 1290 1415 1698 1935 2322 2547 2830 3483 3870 4245 5094 5805 6966 7641 8490 11610 12169 12289 12735 15282 17415 22923 24338 24578 25470 34830 36507 36867 38205 45846 60845 61445 73014 73734 76410 109521 110601 114615 121690 122890 182535 184335 219042 221202 229230 328563 331803 365070 368670 528427 547605 553005 657126 663606 985689 995409 1056854 1095210 1106010 1585281 1642815 1659015 1971378 1990818 2642135 3170562 3285630 3318030 3477787 4755843 4928445 4977045 5284270 6955574 7926405 9511686 9856890 9954090 10433361 14267529 15852810 17388935 20866722 23779215 28535058 31300083 34777870 42802587 47558430 52166805 62600166 71337645 85605174 93900249 104333610 142675290 149544841 156500415 187800498 214012935 281700747 299089682 313000830 428025870 448634523 469501245 563401494 747724205 897269046 939002490 1345903569 1408503735 1495448410 2243172615 2691807138 2817007470 4037710707 4486345230 6729517845 8075421414 12113132121 13459035690 20188553535 24226264242 40377107070 60565660605 121131321210