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2421103320042 = 2311375119193679
BaseRepresentation
bin100011001110110101000…
…000001101101111101010
322120110021212000221202220
4203032311000031233222
5304131404422220132
65052123422334510
7336630124444341
oct43166500155752
98513255027686
102421103320042
11853869784950
1233128672a436
13147403021224
148527969cb58
1542ea2431a2c
hex233b500dbea

2421103320042 has 64 divisors (see below), whose sum is σ = 5426262835200. Its totient is φ = 713695682880.

The previous prime is 2421103320037. The next prime is 2421103320091. The reversal of 2421103320042 is 2400233011242.

It is a happy number.

2421103320042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2421103319994 and 2421103320021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12403759 + ... + 12597437.

It is an arithmetic number, because the mean of its divisors is an integer number (84785356800).

Almost surely, 22421103320042 is an apocalyptic number.

2421103320042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421103320042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713131417600).

2421103320042 is an abundant number, since it is smaller than the sum of its proper divisors (3005159515158).

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

2421103320042 is a wasteful number, since it uses less digits than its factorization.

2421103320042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198851.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2421103320042 its reverse (2400233011242), we get a palindrome (4821336331284).

The spelling of 2421103320042 in words is "two trillion, four hundred twenty-one billion, one hundred three million, three hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 5119 10238 15357 30714 56309 112618 168927 189403 193679 337854 378806 387358 568209 581037 1136418 1162074 2083433 2130469 4166866 4260938 6250299 6391407 7166123 12500598 12782814 14332246 21498369 42996738 78827353 157654706 236482059 472964118 991442801 1982885602 2974328403 5948656806 10905870811 21811741622 32717612433 36683383637 65435224866 73366767274 110050150911 220100301822 403517220007 807034440014 1210551660021 2421103320042