Search a number
-
+
121123230433020 = 223252947948441929
BaseRepresentation
bin11011100010100100110011…
…000111111011111011111100
3120212212021020012000001221100
4123202210303013323323330
5111333440333442324040
61105335124403133100
734340602364266524
oct3342446307737374
9525767205001840
10121123230433020
11356590899a3382
12117025b0974190
135277b43c454aa
1421ca57788a684
15e00a5e782b30
hex6e29331fbefc

121123230433020 has 144 divisors (see below), whose sum is σ = 380869830432000. Its totient is φ = 31120644688896.

The previous prime is 121123230433019. The next prime is 121123230433021. The reversal of 121123230433020 is 20334032321121.

121123230433020 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 3 + 2 + 304 + 330 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (121123230433019) and next prime (121123230433021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121123230433021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21720585 + ... + 26721344.

It is an arithmetic number, because the mean of its divisors is an integer number (2644929378000).

Almost surely, 2121123230433020 is an apocalyptic number.

121123230433020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121123230433020 is an abundant number, since it is smaller than the sum of its proper divisors (259746599998980).

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

121123230433020 is a wasteful number, since it uses less digits than its factorization.

121123230433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48442452 (or 48442447 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 121123230433020 its reverse (20334032321121), we get a palindrome (141457262754141).

The spelling of 121123230433020 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, two hundred thirty million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 479 522 580 870 958 1044 1305 1437 1740 1916 2395 2610 2874 4311 4790 5220 5748 7185 8622 9580 13891 14370 17244 21555 27782 28740 41673 43110 55564 69455 83346 86220 125019 138910 166692 208365 250038 277820 416730 500076 625095 833460 1250190 2500380 48441929 96883858 145325787 193767716 242209645 290651574 435977361 484419290 581303148 726628935 871954722 968838580 1404815941 1453257870 1743909444 2179886805 2809631882 2906515740 4214447823 4359773610 5619263764 7024079705 8428895646 8719547220 12643343469 14048159410 16857791292 21072239115 23203683991 25286686938 28096318820 42144478230 46407367982 50573373876 63216717345 69611051973 84288956460 92814735964 116018419955 126433434690 139222103946 208833155919 232036839910 252866869380 278444207892 348055259865 417666311838 464073679820 672906835739 696110519730 835332623676 1044165779595 1345813671478 1392221039460 2018720507217 2088331559190 2691627342956 3364534178695 4037441014434 4176663118380 6056161521651 6729068357390 8074882028868 10093602536085 12112323043302 13458136714780 20187205072170 24224646086604 30280807608255 40374410144340 60561615216510 121123230433020