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1012317445000 = 235417101117917
BaseRepresentation
bin11101011101100101101…
…00100101101110001000
310120202222010212110111201
432232302310211232020
5113041211231220000
62053015140033544
7133065112210261
oct16566264455610
93522863773451
101012317445000
11360359896704
1214423b0928b4
13745cc128634
1436dd4299968
151b4eccde96a
hexebb2d25b88

1012317445000 has 160 divisors (see below), whose sum is σ = 2536267603320. Its totient is φ = 377331200000.

The previous prime is 1012317444997. The next prime is 1012317445091. The reversal of 1012317445000 is 5447132101.

It can be written as a sum of positive squares in 20 ways, for example, as 66798470116 + 945518974884 = 258454^2 + 972378^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1012317445000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8526042 + ... + 8643958.

Almost surely, 21012317445000 is an apocalyptic number.

1012317445000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012317445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268133801660).

1012317445000 is an abundant number, since it is smaller than the sum of its proper divisors (1523950158320).

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

1012317445000 is a wasteful number, since it uses less digits than its factorization.

1012317445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118061 (or 118042 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 1012317445000 in words is "one trillion, twelve billion, three hundred seventeen million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 101 125 136 170 200 202 250 340 404 425 500 505 625 680 808 850 1000 1010 1250 1700 1717 2020 2125 2500 2525 3400 3434 4040 4250 5000 5050 6868 8500 8585 10100 10625 12625 13736 17000 17170 20200 21250 25250 34340 42500 42925 50500 63125 68680 85000 85850 101000 117917 126250 171700 214625 235834 252500 343400 429250 471668 505000 589585 858500 943336 1073125 1179170 1717000 2004589 2146250 2358340 2947925 4009178 4292500 4716680 5895850 8018356 8585000 10022945 11791700 11909617 14739625 16036712 20045890 23583400 23819234 29479250 40091780 47638468 50114725 58958500 59548085 73698125 80183560 95276936 100229450 117917000 119096170 147396250 200458900 202463489 238192340 250573625 294792500 297740425 400917800 404926978 476384680 501147250 589585000 595480850 809853956 1002294500 1012317445 1190961700 1252868125 1488702125 1619707912 2004589000 2024634890 2381923400 2505736250 2977404250 4049269780 5011472500 5061587225 5954808500 7443510625 8098539560 10022945000 10123174450 11909617000 14887021250 20246348900 25307936125 29774042500 40492697800 50615872250 59548085000 101231744500 126539680625 202463489000 253079361250 506158722500 1012317445000