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312142223221010 = 257213411195168753
BaseRepresentation
bin100011011111001000100011…
…0010101011010000100010010
31111221012111122020002220021122
41012332101012111122010102
5311403114233121033020
63023512054023322242
7122514350164103600
oct10676210625320422
91457174566086248
10312142223221010
11905048565282a6
122b013306bb0382
1310522b68158580
145711a9b006870
152614807758125
hex11be44655a112

312142223221010 has 96 divisors (see below), whose sum is σ = 721030967263152. Its totient is φ = 96378408161280.

The previous prime is 312142223220991. The next prime is 312142223221013. The reversal of 312142223221010 is 10122322241213.

It can be written as a sum of positive squares in 8 ways, for example, as 3606288354529 + 308535934866481 = 1899023^2 + 17565191^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312142223221013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597323207 + ... + 597845546.

Almost surely, 2312142223221010 is an apocalyptic number.

312142223221010 is an abundant number, since it is smaller than the sum of its proper divisors (408888744042142).

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

312142223221010 is a wasteful number, since it uses less digits than its factorization.

312142223221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195168828 (or 1195168821 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 312142223221010 its reverse (10122322241213), we get a palindrome (322264545462223).

The spelling of 312142223221010 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred twenty-three million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 41 49 65 70 82 91 98 130 182 205 245 287 410 455 490 533 574 637 910 1066 1274 1435 2009 2665 2870 3185 3731 4018 5330 6370 7462 10045 18655 20090 26117 37310 52234 130585 261170 1195168753 2390337506 5975843765 8366181271 11951687530 15537193789 16732362542 31074387578 41830906355 49001918873 58563268897 77685968945 83661812710 98003837746 108760356523 117126537794 155371937890 217520713046 245009594365 292816344485 343013432111 490019188730 543801782615 585632688970 637024945349 686026864222 761322495661 1087603565230 1274049890698 1522644991322 1715067160555 2401094024777 3185124726745 3430134321110 3806612478305 4459174617443 4802188049554 6370249453490 7613224956610 8918349234886 12005470123885 22295873087215 24010940247770 31214222322101 44591746174430 62428444644202 156071111610505 312142223221010