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103221321224 = 2372263319697
BaseRepresentation
bin110000000100001111…
…0000101111000001000
3100212102200010102020012
41200020132011320020
53142344124234344
6115230315051052
710312630516400
oct1401036057010
9325380112205
10103221321224
113a85982144a
1218008740a88
139970004b88
144dd2bd9800
152a41e4a29e
hex1808785e08

103221321224 has 24 divisors (see below), whose sum is σ = 225138341790. Its totient is φ = 44237708928.

The previous prime is 103221321211. The next prime is 103221321253. The reversal of 103221321224 is 422123122301.

It can be written as a sum of positive squares in only one way, i.e., 66899822500 + 36321498724 = 258650^2 + 190582^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103221321224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131659457 + ... + 131660240.

Almost surely, 2103221321224 is an apocalyptic number.

103221321224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103221321224 is an abundant number, since it is smaller than the sum of its proper divisors (121917020566).

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

103221321224 is a wasteful number, since it uses less digits than its factorization.

103221321224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263319717 (or 263319706 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 103221321224 its reverse (422123122301), we get a palindrome (525344443525).

The spelling of 103221321224 in words is "one hundred three billion, two hundred twenty-one million, three hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 263319697 526639394 1053278788 1843237879 2106557576 3686475758 7372951516 12902665153 14745903032 25805330306 51610660612 103221321224