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12311211122010 = 23251737217474141
BaseRepresentation
bin1011001100100110110101…
…0111011001110101011010
31121120221101110201010201200
42303021231113121311122
53103201330021401020
642103405312255030
72410312200626643
oct263115527316532
947527343633650
1012311211122010
113a171787a8a99
121469bb3841476
136b3c330c55a8
14307c19a6a6ca
15165399973590
hexb326d5d9d5a

12311211122010 has 96 divisors (see below), whose sum is σ = 34808041271952. Its totient is φ = 3006362511360.

The previous prime is 12311211121997. The next prime is 12311211122099. The reversal of 12311211122010 is 1022111211321.

It is a happy number.

12311211122010 is a `hidden beast` number, since 1 + 231 + 1 + 211 + 1 + 220 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7937838551889 + 4373372570121 = 2817417^2 + 2091261^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108680461 + ... + 108793680.

Almost surely, 212311211122010 is an apocalyptic number.

12311211122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12311211122010 is an abundant number, since it is smaller than the sum of its proper divisors (22496830149942).

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

12311211122010 is a wasteful number, since it uses less digits than its factorization.

12311211122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217474208 (or 217474205 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12311211122010 its reverse (1022111211321), we get a palindrome (13333322333331).

The spelling of 12311211122010 in words is "twelve trillion, three hundred eleven billion, two hundred eleven million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 37 45 51 74 85 90 102 111 153 170 185 222 255 306 333 370 510 555 629 666 765 1110 1258 1530 1665 1887 3145 3330 3774 5661 6290 9435 11322 18870 28305 56610 217474141 434948282 652422423 1087370705 1304844846 1957267269 2174741410 3262112115 3697060397 3914534538 6524224230 7394120794 8046543217 9786336345 11091181191 16093086434 18485301985 19572672690 22182362382 24139629651 33273543573 36970603970 40232716085 48279259302 55455905955 66547087146 72418888953 80465432170 110911811910 120698148255 136791234689 144837777906 166367717865 241396296510 273582469378 332735435730 362094444765 410373704067 683956173445 724188889530 820747408134 1231121112201 1367912346890 2051868520335 2462242224402 4103737040670 6155605561005 12311211122010