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312212114340 = 223572812645417
BaseRepresentation
bin1001000101100010100…
…10101100101110100100
31002211212121011201021020
410202301102230232210
520103402300124330
6355232301051140
731361623120260
oct4426122545644
91084777151236
10312212114340
11110454665585
1250613256ab0
1323597bcc779
141117adb70a0
1581c487d210
hex48b14acba4

312212114340 has 96 divisors (see below), whose sum is σ = 1002634585344. Its totient is φ = 71108782080.

The previous prime is 312212114329. The next prime is 312212114407. The reversal of 312212114340 is 43411212213.

It is a self number, because there is not a number n which added to its sum of digits gives 312212114340.

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, 1204689 + ... + 1440728.

It is an arithmetic number, because the mean of its divisors is an integer number (10444110264).

Almost surely, 2312212114340 is an apocalyptic number.

312212114340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312212114340 is an abundant number, since it is smaller than the sum of its proper divisors (690422471004).

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

312212114340 is a wasteful number, since it uses less digits than its factorization.

312212114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645717 (or 2645715 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312212114340 its reverse (43411212213), we get a palindrome (355623326553).

The spelling of 312212114340 in words is "three hundred twelve billion, two hundred twelve million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 281 420 562 843 1124 1405 1686 1967 2810 3372 3934 4215 5620 5901 7868 8430 9835 11802 16860 19670 23604 29505 39340 59010 118020 2645417 5290834 7936251 10581668 13227085 15872502 18517919 26454170 31745004 37035838 39681255 52908340 55553757 74071676 79362510 92589595 111107514 158725020 185179190 222215028 277768785 370358380 555537570 743362177 1111075140 1486724354 2230086531 2973448708 3716810885 4460173062 5203535239 7433621770 8920346124 10407070478 11150432655 14867243540 15610605717 20814140956 22300865310 26017676195 31221211434 44601730620 52035352390 62442422868 78053028585 104070704780 156106057170 312212114340