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312403113020340 = 223351932997535147
BaseRepresentation
bin100011100001000010000010…
…0100101000000101110110100
31111222010110001002021212202000
41013002010010211000232310
5311421403033413122330
63024232001525215300
7122542244240600466
oct10702040445005664
91458113032255660
10312403113020340
11905a5463a70a01
122b055996561530
13105416443692b4
145720569c00136
15261b4c65e4560
hex11c2104940bb4

312403113020340 has 96 divisors (see below), whose sum is σ = 976956655436160. Its totient is φ = 82875851716608.

The previous prime is 312403113020267. The next prime is 312403113020459. The reversal of 312403113020340 is 43020311304213.

It is a happy number.

312403113020340 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 0 + 3 + 11 + 302 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1498663354 + ... + 1498871793.

It is an arithmetic number, because the mean of its divisors is an integer number (10176631827460).

Almost surely, 2312403113020340 is an apocalyptic number.

312403113020340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312403113020340 is an abundant number, since it is smaller than the sum of its proper divisors (664553542415820).

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

312403113020340 is a wasteful number, since it uses less digits than its factorization.

312403113020340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997535358 (or 2997535350 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312403113020340 its reverse (43020311304213), we get a palindrome (355423424324553).

The spelling of 312403113020340 in words is "three hundred twelve trillion, four hundred three billion, one hundred thirteen million, twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 193 270 386 540 579 772 965 1158 1737 1930 2316 2895 3474 3860 5211 5790 6948 8685 10422 11580 17370 20844 26055 34740 52110 104220 2997535147 5995070294 8992605441 11990140588 14987675735 17985210882 26977816323 29975351470 35970421764 44963027205 53955632646 59950702940 80933448969 89926054410 107911265292 134889081615 161866897938 179852108820 269778163230 323733795876 404667244845 539556326460 578524283371 809334489690 1157048566742 1618668979380 1735572850113 2314097133484 2892621416855 3471145700226 5206718550339 5785242833710 6942291400452 8677864250565 10413437100678 11570485667420 15620155651017 17355728501130 20826874201356 26033592751695 31240311302034 34711457002260 52067185503390 62480622604068 78100778255085 104134371006780 156201556510170 312403113020340