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1001021222201 = 7111341431932939
BaseRepresentation
bin11101001000100011000…
…00111010110100111001
310112200210220000212222112
432210101200322310321
5112400042413102301
62043510210502105
7132215144666150
oct16442140726471
93480726025875
101001021222201
11356592424290
12142007b94935
137351ba26530
1436641d1a597
151b08b23a9bb
hexe91183ad39

1001021222201 has 128 divisors (see below), whose sum is σ = 1416609976320. Its totient is φ = 682330521600.

The previous prime is 1001021222183. The next prime is 1001021222221. The reversal of 1001021222201 is 1022221201001.

It is not a de Polignac number, because 1001021222201 - 226 = 1000954113337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001021222221) 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 127 ways as a sum of consecutive naturals, for example, 340597790 + ... + 340600728.

It is an arithmetic number, because the mean of its divisors is an integer number (11067265440).

Almost surely, 21001021222201 is an apocalyptic number.

1001021222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001021222201 is a deficient number, since it is larger than the sum of its proper divisors (415588754119).

1001021222201 is a wasteful number, since it uses less digits than its factorization.

1001021222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1001021222201 its reverse (1022221201001), we get a palindrome (2023242423202).

The spelling of 1001021222201 in words is "one trillion, one billion, twenty-one million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 7 11 13 41 43 77 91 143 193 287 301 451 473 533 559 1001 1351 1763 2123 2509 2939 3157 3311 3731 3913 5863 6149 7913 8299 12341 14861 17563 19393 20573 22919 27599 32329 38207 41041 43043 55391 58093 87043 91289 102869 107887 120499 126377 135751 160433 193193 226303 252109 267449 340259 420277 567227 609301 639023 720083 755209 843493 884639 1131559 1186757 1325489 1390147 1566487 1642901 1764763 2381813 2941939 3742849 3970589 4423367 5181457 6239497 7373951 7920913 8307299 9278423 9731029 10965409 11500307 17231357 18071911 23256307 24390761 26199943 30963569 36270199 43676479 48657037 51617657 56996027 67358941 81113461 120619499 126503377 162794149 170735327 255819377 268298371 302331991 317079893 340599259 398972189 471512587 567794227 740948351 1000021201 1790735639 1878088597 2116323937 2219559251 3325651901 3487878823 5186638457 7000148407 11000233211 13000275613 23279563307 24415151761 77001632477 91001929291 143003031743 1001021222201