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10022001012009 = 337433839145963
BaseRepresentation
bin1001000111010110110111…
…0011110110110100101001
31022111002112111000110112000
42101311231303312310221
52303200024224341014
633152013235041213
72053031346016410
oct221655563666451
938432474013460
1010022001012009
113214341330a78
12115a3b7a40209
135790bc27301c
142690d3094477
15125a666c1509
hex91d6dcf6d29

10022001012009 has 64 divisors (see below), whose sum is σ = 17028043468800. Its totient is φ = 5706782574336.

The previous prime is 10022001011999. The next prime is 10022001012031. The reversal of 10022001012009 is 90021010022001.

It is not a de Polignac number, because 10022001012009 - 216 = 10022000946473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022001011982 and 10022001012000.

It is not an unprimeable number, because it can be changed into a prime (10022001012509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68588262 + ... + 68734224.

It is an arithmetic number, because the mean of its divisors is an integer number (266063179200).

Almost surely, 210022001012009 is an apocalyptic number.

It is an amenable number.

10022001012009 is a deficient number, since it is larger than the sum of its proper divisors (7006042456791).

10022001012009 is a wasteful number, since it uses less digits than its factorization.

10022001012009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147251 (or 147245 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 10022001012009 in words is "ten trillion, twenty-two billion, one million, twelve thousand, nine".

Divisors: 1 3 7 9 21 27 63 189 433 839 1299 2517 3031 3897 5873 7551 9093 11691 17619 22653 27279 52857 81837 145963 158571 363287 437889 1021741 1089861 1313667 2543009 3065223 3269583 3941001 7629027 9195669 9808749 22887081 27587007 63201979 68661243 122462957 189605937 367388871 442413853 568817811 857240699 1102166613 1327241559 1706453433 2571722097 3306499839 3981724677 7715166291 11945174031 23145498873 53026460381 159079381143 371185222667 477238143429 1113555668001 1431714430287 3340667004003 10022001012009