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312212322199962 = 23217345129011109
BaseRepresentation
bin100011011111101001001100…
…0100011110010100110011010
31111221110012120112200222202100
41012333102120203302212122
5311410241313440344322
63024004205531544230
7122522411252433612
oct10677223043624632
91457405515628670
10312212322199962
1190531558583758
122b024a0abbb076
1310529659c49a42
14571522ac25a42
15261655b8badac
hex11bf4988f299a

312212322199962 has 12 divisors (see below), whose sum is σ = 676460031433290. Its totient is φ = 104070774066648.

The previous prime is 312212322199949. The next prime is 312212322199963. The reversal of 312212322199962 is 269991223212213.

312212322199962 is a `hidden beast` number, since 3 + 1 + 2 + 212 + 322 + 19 + 9 + 96 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 311090542542081 + 1121779657881 = 17637759^2 + 1059141^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312212322199899 and 312212322199908.

It is not an unprimeable number, because it can be changed into a prime (312212322199963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8672564505537 + ... + 8672564505572.

Almost surely, 2312212322199962 is an apocalyptic number.

312212322199962 is an abundant number, since it is smaller than the sum of its proper divisors (364247709233328).

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

312212322199962 is a wasteful number, since it uses less digits than its factorization.

312212322199962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17345129011117 (or 17345129011114 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 312212322199962 in words is "three hundred twelve trillion, two hundred twelve billion, three hundred twenty-two million, one hundred ninety-nine thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 17345129011109 34690258022218 52035387033327 104070774066654 156106161099981 312212322199962