Search a number
-
+
1223312323104 = 25328351176051
BaseRepresentation
bin10001110011010011000…
…110001011001000100000
311022221120201221211022200
4101303103012023020200
5130020320423314404
62333552032333200
7154244551115424
oct21632306131040
94287521854280
101223312323104
11431892a07523
121791049a4200
138b48629aa31
14432cc6b6b84
1521c4b640839
hex11cd318b220

1223312323104 has 72 divisors (see below), whose sum is σ = 3520707673392. Its totient is φ = 402857865600.

The previous prime is 1223312323087. The next prime is 1223312323141. The reversal of 1223312323104 is 4013232133221.

1223312323104 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 312 + 32 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25564122 + ... + 25611929.

It is an arithmetic number, because the mean of its divisors is an integer number (48898717686).

Almost surely, 21223312323104 is an apocalyptic number.

It is an amenable number.

1223312323104 is an abundant number, since it is smaller than the sum of its proper divisors (2297395350288).

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

1223312323104 is a wasteful number, since it uses less digits than its factorization.

1223312323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51176150 (or 51176139 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1223312323104 its reverse (4013232133221), we get a palindrome (5236544456325).

The spelling of 1223312323104 in words is "one trillion, two hundred twenty-three billion, three hundred twelve million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 23904 51176051 102352102 153528153 204704204 307056306 409408408 460584459 614112612 818816816 921168918 1228225224 1637633632 1842337836 2456450448 3684675672 4247612233 4912900896 7369351344 8495224466 12742836699 14738702688 16990448932 25485673398 33980897864 38228510097 50971346796 67961795728 76457020194 101942693592 135923591456 152914040388 203885387184 305828080776 407770774368 611656161552 1223312323104