Search a number
-
+
1233012223105 = 51361767745413
BaseRepresentation
bin10001111100010101010…
…000010110110010000001
311100212121202000210122021
4101330111100112302001
5130200202112114410
62342234335041441
7155040122653315
oct21742520266201
94325552023567
101233012223105
11435a10289a03
1217ab71370281
138c370a53a30
144396ca3bb45
1522117ebeeda
hex11f15416c81

1233012223105 has 32 divisors (see below), whose sum is σ = 1598406403104. Its totient is φ = 907693602816.

The previous prime is 1233012223081. The next prime is 1233012223169. The reversal of 1233012223105 is 5013222103321.

It can be written as a sum of positive squares in 16 ways, for example, as 821401441344 + 411610781761 = 906312^2 + 641569^2 .

It is a de Polignac number, because none of the positive numbers 2k-1233012223105 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1233012223105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27128379 + ... + 27173791.

It is an arithmetic number, because the mean of its divisors is an integer number (49950200097).

Almost surely, 21233012223105 is an apocalyptic number.

It is an amenable number.

1233012223105 is a deficient number, since it is larger than the sum of its proper divisors (365394179999).

1233012223105 is a wasteful number, since it uses less digits than its factorization.

1233012223105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46725.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 1233012223105 its reverse (5013222103321), we get a palindrome (6246234326426).

The spelling of 1233012223105 in words is "one trillion, two hundred thirty-three billion, twelve million, two hundred twenty-three thousand, one hundred five".

Divisors: 1 5 13 65 617 677 3085 3385 8021 8801 40105 44005 45413 227065 417709 590369 2088545 2951845 5430217 27151085 28019821 30744601 140099105 153723005 364257673 399679813 1821288365 1998399065 18969418817 94847094085 246602444621 1233012223105