Search a number
-
+
312121011222 = 23237468650167
BaseRepresentation
bin1001000101010111101…
…11001010110000010110
31002211122020202012021200
410202223313022300112
520103210434324342
6355215244253330
731356435551436
oct4425367126026
91084566665250
10312121011222
111104081a0449
12505a8841246
13235820826b7
141116cc602c6
1581bb88494c
hex48abdcac16

312121011222 has 24 divisors (see below), whose sum is σ = 694539548976. Its totient is φ = 101228435856.

The previous prime is 312121011221. The next prime is 312121011271. The reversal of 312121011222 is 222110121213.

312121011222 is a `hidden beast` number, since 312 + 121 + 0 + 11 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312121011195 and 312121011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121011221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234324418 + ... + 234325749.

It is an arithmetic number, because the mean of its divisors is an integer number (28939147874).

Almost surely, 2312121011222 is an apocalyptic number.

312121011222 is an abundant number, since it is smaller than the sum of its proper divisors (382418537754).

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

312121011222 is a wasteful number, since it uses less digits than its factorization.

312121011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468650212 (or 468650209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 312121011222 its reverse (222110121213), we get a palindrome (534231132435).

The spelling of 312121011222 in words is "three hundred twelve billion, one hundred twenty-one million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 468650167 937300334 1405950501 2811901002 4217851503 8435703006 17340056179 34680112358 52020168537 104040337074 156060505611 312121011222