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10200122009 = 7112176797109
BaseRepresentation
bin10010111111111100…
…11000001010011001
3222022212022212220122
421133332120022121
5131342212401014
64404052003025
7510524415020
oct113776301231
928285285818
1010200122009
114364780700
121b88000475
13c672b816c
146ca9778b7
153ea73d58e
hex25ff98299

10200122009 has 96 divisors (see below), whose sum is σ = 14039182080. Its totient is φ = 7226081280.

The previous prime is 10200122003. The next prime is 10200122011. The reversal of 10200122009 is 90022100201.

It is not a de Polignac number, because 10200122009 - 28 = 10200121753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10200122003) 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 95 ways as a sum of consecutive naturals, for example, 93579047 + ... + 93579155.

It is an arithmetic number, because the mean of its divisors is an integer number (146241480).

Almost surely, 210200122009 is an apocalyptic number.

It is an amenable number.

10200122009 is a deficient number, since it is larger than the sum of its proper divisors (3839060071).

10200122009 is a wasteful number, since it uses less digits than its factorization.

10200122009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 10200122009 in words is "ten billion, two hundred million, one hundred twenty-two thousand, nine".

Divisors: 1 7 11 17 67 77 97 109 119 121 187 469 679 737 763 847 1067 1139 1199 1309 1649 1853 2057 5159 6499 7303 7469 7973 8107 8393 10573 11543 11737 12529 12971 13189 14399 18139 20383 45493 51121 56749 71489 74011 80333 82159 87703 92323 110483 116303 124151 126973 137819 142681 179741 199529 224213 500423 562331 708391 773381 786379 814121 869057 883663 964733 1215313 1258187 1279333 1365661 1396703 1569491 1977151 4958737 5504653 6185641 7792301 8507191 8955331 9559627 12042647 13368443 13840057 15022271 21748661 54546107 84298529 85715311 93579101 105155897 132469117 152240627 600007177 927283819 1457160287 10200122009