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1001020201212 = 2231923797239509
BaseRepresentation
bin11101001000100010111…
…01000001100011111100
310112200210211010000110010
432210101131001203330
5112400042132414322
62043510132543220
7132215133214413
oct16442135014374
93480724100403
101001020201212
11356591897199
12142007781b10
137351b7598b5
1436641b3247a
151b08b0d820c
hexe9117418fc

1001020201212 has 96 divisors (see below), whose sum is σ = 2568773491200. Its totient is φ = 301987014912.

The previous prime is 1001020201211. The next prime is 1001020201241. The reversal of 1001020201212 is 2121020201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001020201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4059714 + ... + 4299222.

It is an arithmetic number, because the mean of its divisors is an integer number (26758057200).

Almost surely, 21001020201212 is an apocalyptic number.

1001020201212 is a gapful number since it is divisible by the number (12) 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 1001020201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284386745600).

1001020201212 is an abundant number, since it is smaller than the sum of its proper divisors (1567753289988).

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

1001020201212 is a wasteful number, since it uses less digits than its factorization.

1001020201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240355 (or 240353 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001020201212 its reverse (2121020201001), we get a palindrome (3122040402213).

The spelling of 1001020201212 in words is "one trillion, one billion, twenty million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 797 874 1311 1594 1748 2391 2622 3188 4782 5244 9564 15143 18331 30286 36662 45429 54993 60572 73324 90858 109986 181716 219972 239509 348289 479018 696578 718527 958036 1044867 1393156 1437054 2089734 2874108 4179468 4550671 5508707 9101342 11017414 13652013 16526121 18202684 22034828 27304026 33052242 54608052 66104484 104665433 190888673 209330866 313996299 381777346 418661732 572666019 627992598 763554692 1145332038 1255985196 2290664076 3626884787 4390439479 7253769574 8780878958 10880654361 13171318437 14507539148 17561757916 21761308722 26342636874 43522617444 52685273748 83418350101 166836700202 250255050303 333673400404 500510100606 1001020201212