Search a number
-
+
12302255220321 = 31119313717106209
BaseRepresentation
bin1011001100000101011110…
…0011010110011001100001
31121120002021022121012020010
42303001113203112121201
53103030004314022241
642055324504235133
72406544232003253
oct263012743263141
947502238535203
1012302255220321
113a133a2397550
12146831446baa9
136b3136815391
1430760a453cd3
151650235a7d16
hexb30578d6661

12302255220321 has 64 divisors (see below), whose sum is σ = 19969105305600. Its totient is φ = 6650893670400.

The previous prime is 12302255220317. The next prime is 12302255220323.

It is a happy number.

12302255220321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12302255220321 - 22 = 12302255220317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12302255220323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7833936 + ... + 9272273.

It is an arithmetic number, because the mean of its divisors is an integer number (312017270400).

Almost surely, 212302255220321 is an apocalyptic number.

12302255220321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12302255220321 is a deficient number, since it is larger than the sum of its proper divisors (7666850085279).

12302255220321 is a wasteful number, since it uses less digits than its factorization.

12302255220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17106310.

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 1230225 and 5220321, that added together give a palindrome (6450546).

The spelling of 12302255220321 in words is "twelve trillion, three hundred two billion, two hundred fifty-five million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 11 19 31 33 37 57 93 111 209 341 407 589 627 703 1023 1147 1221 1767 2109 3441 6479 7733 12617 19437 21793 23199 37851 65379 239723 719169 17106209 51318627 188168299 325017971 530292479 564504897 632929733 975053913 1590877437 1898789199 3575197681 5833217269 6962227063 10075557101 10725593043 12025664927 17499651807 19620821723 20886681189 30226671303 36076994781 58862465169 110831128111 132282314197 215829038953 332493384333 372795612737 396846942591 647487116859 1118386838211 4100751740107 12302255220321