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312003103001112 = 233221661200054311
BaseRepresentation
bin100011011110000111110001…
…0000111111000101000011000
31111220201012112200212110221200
41012330033202013320220120
5311343324323332013422
63023324125150234200
7122501323514540055
oct10674174207705030
91456635480773850
10312003103001112
1190460855815a56
122abb035bab5960
13105129c6930723
14570906059002c
152610db3dbc2ac
hex11bc3e21f8a18

312003103001112 has 48 divisors (see below), whose sum is σ = 845047418776080. Its totient is φ = 103996232510400.

The previous prime is 312003103001003. The next prime is 312003103001119. The reversal of 312003103001112 is 211100301300213.

312003103001112 is a `hidden beast` number, since 31 + 2 + 0 + 0 + 310 + 300 + 11 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312003103001119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98467564 + ... + 101586747.

It is an arithmetic number, because the mean of its divisors is an integer number (17605154557835).

Almost surely, 2312003103001112 is an apocalyptic number.

It is an amenable number.

312003103001112 is an abundant number, since it is smaller than the sum of its proper divisors (533044315774968).

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

312003103001112 is a wasteful number, since it uses less digits than its factorization.

312003103001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200075984 (or 200075977 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312003103001112 its reverse (211100301300213), we get a palindrome (523103404301325).

The spelling of 312003103001112 in words is "three hundred twelve trillion, three billion, one hundred three million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 21661 43322 64983 86644 129966 173288 194949 259932 389898 519864 779796 1559592 200054311 400108622 600162933 800217244 1200325866 1600434488 1800488799 2400651732 3600977598 4801303464 7201955196 14403910392 4333376430571 8666752861142 13000129291713 17333505722284 26000258583426 34667011444568 39000387875139 52000517166852 78000775750278 104001034333704 156001551500556 312003103001112