Search a number
-
+
311303405112012 = 223223909141356319
BaseRepresentation
bin100011011001000001111100…
…0111000010000101011001100
31111211020022111112211220110100
41012302003320320100223030
5311300343333202041022
63022030450544211100
7122366633403604245
oct10662037070205314
91454208445756410
10311303405112012
119021103a582795
122aab8828609a90
1310491a28c50341
1456c324544bccc
1525ecab15de1ac
hex11b20f8e10acc

311303405112012 has 72 divisors (see below), whose sum is σ = 821209468584960. Its totient is φ = 99245237683680.

The previous prime is 311303405112001. The next prime is 311303405112023. The reversal of 311303405112012 is 210211504303113.

311303405112012 is a `hidden beast` number, since 3 + 1 + 130 + 3 + 4 + 0 + 511 + 2 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (311303405112001) and next prime (311303405112023).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13150812 + ... + 28205507.

It is an arithmetic number, because the mean of its divisors is an integer number (11405687063680).

Almost surely, 2311303405112012 is an apocalyptic number.

It is an amenable number.

311303405112012 is an abundant number, since it is smaller than the sum of its proper divisors (509906063472948).

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

311303405112012 is a wasteful number, since it uses less digits than its factorization.

311303405112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41365443 (or 41365438 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 311303405112012 its reverse (210211504303113), we get a palindrome (521514909415125).

The spelling of 311303405112012 in words is "three hundred eleven trillion, three hundred three billion, four hundred five million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 9091 18182 27273 36364 54546 81819 109092 163638 209093 327276 418186 627279 836372 1254558 1881837 2509116 3763674 7527348 41356319 82712638 124068957 165425276 248137914 372206871 496275828 744413742 951195337 1488827484 1902390674 2853586011 3804781348 5707172022 8560758033 11414344044 17121516066 34243032132 375970296029 751940592058 1127910888087 1503881184116 2255821776174 3383732664261 4511643552348 6767465328522 8647316808667 13534930657044 17294633617334 25941950426001 34589267234668 51883900852002 77825851278003 103767801704004 155651702556006 311303405112012