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312103102032 = 24322167382653
BaseRepresentation
bin1001000101010101100…
…10110110011001010000
31002211121000001022111100
410202222302312121100
520103141343231112
6355213404344400
731356130411161
oct4425262663120
91084530038440
10312103102032
111103a9078a67
12505a2845100
132357b451b47
141116a71b768
1581b9ee82dc
hex48aacb6650

312103102032 has 30 divisors (see below), whose sum is σ = 873455209562. Its totient is φ = 104034367296.

The previous prime is 312103102027. The next prime is 312103102039. The reversal of 312103102032 is 230201301213.

312103102032 is a `hidden beast` number, since 312 + 10 + 310 + 2 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 265229120016 + 46873982016 = 515004^2 + 216504^2 .

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 = 312103101996 and 312103102014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312103102039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1083691183 + ... + 1083691470.

Almost surely, 2312103102032 is an apocalyptic number.

It is an amenable number.

312103102032 is an abundant number, since it is smaller than the sum of its proper divisors (561352107530).

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

312103102032 is a wasteful number, since it uses less digits than its factorization.

312103102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167382667 (or 2167382658 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312103102032 its reverse (230201301213), we get a palindrome (542304403245).

The spelling of 312103102032 in words is "three hundred twelve billion, one hundred three million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2167382653 4334765306 6502147959 8669530612 13004295918 17339061224 19506443877 26008591836 34678122448 39012887754 52017183672 78025775508 104034367344 156051551016 312103102032