Search a number
-
+
312213122420211 = 32411676775046047
BaseRepresentation
bin100011011111101001100100…
…0010000011000110111110011
31111221110021122022110101120100
41012333103020100120313303
5311410244433314421321
63024004421155243443
7122522440140255345
oct10677231020306763
91457407568411510
10312213122420211
1190531929255001
122b024bb2ba9583
1310529756978c4c
1457152a520b295
1526165a6c88326
hex11bf4c8418df3

312213122420211 has 24 divisors (see below), whose sum is σ = 461976735153024. Its totient is φ = 203064194183040.

The previous prime is 312213122420153. The next prime is 312213122420393. The reversal of 312213122420211 is 112024221312213.

312213122420211 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 1 + 3 + 1 + 22 + 420 + 211 = 666.

It is not a de Polignac number, because 312213122420211 - 215 = 312213122387443 is a prime.

It is a super-2 number, since 2×3122131224202112 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312213122420011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59349790 + ... + 64395836.

It is an arithmetic number, because the mean of its divisors is an integer number (19249030631376).

Almost surely, 2312213122420211 is an apocalyptic number.

312213122420211 is a deficient number, since it is larger than the sum of its proper divisors (149763612732813).

312213122420211 is a wasteful number, since it uses less digits than its factorization.

312213122420211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213771 (or 5213768 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 312213122420211 its reverse (112024221312213), we get a palindrome (424237343732424).

The spelling of 312213122420211 in words is "three hundred twelve trillion, two hundred thirteen billion, one hundred twenty-two million, four hundred twenty thousand, two hundred eleven".

Divisors: 1 3 9 41 123 369 167677 503031 1509093 5046047 6874757 15138141 20624271 45414423 61872813 206887927 620663781 1861991343 846106022819 2538318068457 7614954205371 34690346935579 104071040806737 312213122420211