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10022000001012 = 22328317319387763
BaseRepresentation
bin1001000111010110110110…
…1111111111111111110100
31022111002112102010002200200
42101311231233333333310
52303200024000013022
633152013201240500
72053031334306036
oct221655557777764
938432472102620
1010022000001012
11321434080043a
12115a3b7633130
135790bbcaaabc
142690d2cadc56
15125a66571bac
hex91d6dbffff4

10022000001012 has 72 divisors (see below), whose sum is σ = 25786811834784. Its totient is φ = 3281339942976.

The previous prime is 10022000001011. The next prime is 10022000001043. The reversal of 10022000001012 is 21010000022001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10022000000985 and 10022000001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022000001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9176958 + ... + 10210805.

It is an arithmetic number, because the mean of its divisors is an integer number (358150164372).

Almost surely, 210022000001012 is an apocalyptic number.

10022000001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022000001012 is an abundant number, since it is smaller than the sum of its proper divisors (15764811833772).

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

10022000001012 is a wasteful number, since it uses less digits than its factorization.

10022000001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19388029 (or 19388024 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10022000001012 its reverse (21010000022001), we get a palindrome (31032000023013).

The spelling of 10022000001012 in words is "ten trillion, twenty-two billion, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 173 249 332 346 498 519 692 747 996 1038 1494 1557 2076 2988 3114 6228 14359 28718 43077 57436 86154 129231 172308 258462 516924 19387763 38775526 58163289 77551052 116326578 174489867 232653156 348979734 697959468 1609184329 3218368658 3354082999 4827552987 6436737316 6708165998 9655105974 10062248997 13416331996 14482658961 19310211948 20124497994 28965317922 30186746991 40248995988 57930635844 60373493982 120746987964 278388888917 556777777834 835166666751 1113555555668 1670333333502 2505500000253 3340666667004 5011000000506 10022000001012