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1001012109985 = 5294326076151
BaseRepresentation
bin11101001000100001111…
…10001010001010100001
310112200210020212221101001
432210100332022022201
5112400033100004420
62043505243312001
7132215004355006
oct16442076121241
93480706787331
101001012109985
11356588270128
12142004b1b601
1373519b85aa4
1436640a278ad
151b08a53ab0a
hexe910f8a2a1

1001012109985 has 48 divisors (see below), whose sum is σ = 1274509347840. Its totient is φ = 753847516800.

The previous prime is 1001012109983. The next prime is 1001012109989. The reversal of 1001012109985 is 5899012101001.

It is not a de Polignac number, because 1001012109985 - 21 = 1001012109983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001012109983) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 162736660 + ... + 162742810.

It is an arithmetic number, because the mean of its divisors is an integer number (26552278080).

Almost surely, 21001012109985 is an apocalyptic number.

It is an amenable number.

1001012109985 is a deficient number, since it is larger than the sum of its proper divisors (273497237855).

1001012109985 is an equidigital number, since it uses as much as digits as its factorization.

1001012109985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878 (or 6835 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 37.

The spelling of 1001012109985 in words is "one trillion, one billion, twelve million, one hundred nine thousand, nine hundred eighty-five".

Divisors: 1 5 29 43 145 215 607 1247 1849 3035 6151 6235 9245 17603 26101 30755 53621 88015 130505 178379 264493 268105 756929 891895 1122343 1322465 3733657 3784645 5611715 7670297 11373199 18668285 32547947 38351485 56865995 108276053 160547251 162739735 329822771 541380265 802736255 1649113855 4655870279 6903531793 23279351395 34517658965 200202421997 1001012109985