Search a number
-
+
121303042401300 = 2235219105120248559
BaseRepresentation
bin11011100101001100010000…
…110000001010010000010100
3120220111110100120221111011020
4123211030100300022100110
5111344412112323320200
61105553503125441140
734356566320640304
oct3345142060122024
9526443316844136
10121303042401300
1135718371087541
12117314135701b0
13528ba9b933166
1421d51546db604
15e055856e7ea0
hex6e5310c0a414

121303042401300 has 144 divisors (see below), whose sum is σ = 369793781683200. Its totient is φ = 30615819696000.

The previous prime is 121303042401241. The next prime is 121303042401301. The reversal of 121303042401300 is 3104240303121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121303042401301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4133580 + ... + 16114979.

It is an arithmetic number, because the mean of its divisors is an integer number (2568012372800).

Almost surely, 2121303042401300 is an apocalyptic number.

121303042401300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121303042401300 is an abundant number, since it is smaller than the sum of its proper divisors (248490739281900).

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

121303042401300 is a wasteful number, since it uses less digits than its factorization.

121303042401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20249646 (or 20249639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 121303042401300 its reverse (3104240303121), we get a palindrome (124407282704421).

The spelling of 121303042401300 in words is "one hundred twenty-one trillion, three hundred three billion, forty-two million, four hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1051 1140 1425 1900 2102 2850 3153 4204 5255 5700 6306 10510 12612 15765 19969 21020 26275 31530 39938 52550 59907 63060 78825 79876 99845 105100 119814 157650 199690 239628 299535 315300 399380 499225 599070 998450 1198140 1497675 1996900 2995350 5990700 20248559 40497118 60745677 80994236 101242795 121491354 202485590 242982708 303728385 384722621 404971180 506213975 607456770 769445242 1012427950 1154167863 1214913540 1518641925 1538890484 1923613105 2024855900 2308335726 3037283850 3847226210 4616671452 5770839315 6074567700 7694452420 9618065525 11541678630 19236131050 21281235509 23083357260 28854196575 38472262100 42562471018 57708393150 63843706527 85124942036 106406177545 115416786300 127687413054 212812355090 255374826108 319218532635 404343474671 425624710180 532030887725 638437065270 808686949342 1064061775450 1213030424013 1276874130540 1596092663175 1617373898684 2021717373355 2128123550900 2426060848026 3192185326350 4043434746710 4852121696052 6065152120065 6384370652700 8086869493420 10108586866775 12130304240130 20217173733550 24260608480260 30325760600325 40434347467100 60651521200650 121303042401300