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1001222122201 = 7173417173137
BaseRepresentation
bin11101001000111010111…
…11010010101011011001
310112201022220001122222021
432210131133102223121
5112401000330402301
62043542144454441
7132223134422350
oct16443537225331
93481286048867
101001222122201
11356685871444
1214206331a421
1373551537382
1436660894997
151b09dbc18a1
hexe91d7d2ad9

1001222122201 has 128 divisors (see below), whose sum is σ = 1289594234880. Its totient is φ = 760673894400.

The previous prime is 1001222122189. The next prime is 1001222122259. The reversal of 1001222122201 is 1022212221001.

It is a happy number.

It is not a de Polignac number, because 1001222122201 - 25 = 1001222122169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001222122601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7308190605 + ... + 7308190741.

It is an arithmetic number, because the mean of its divisors is an integer number (10074954960).

Almost surely, 21001222122201 is an apocalyptic number.

It is an amenable number.

1001222122201 is a deficient number, since it is larger than the sum of its proper divisors (288372112679).

1001222122201 is an equidigital number, since it uses as much as digits as its factorization.

1001222122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1001222122201 its reverse (1022212221001), we get a palindrome (2023434343202).

The spelling of 1001222122201 in words is "one trillion, one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 7 17 41 71 73 119 137 287 289 497 511 697 959 1207 1241 2023 2329 2911 2993 4879 4913 5183 5617 8449 8687 9727 10001 11849 16303 20377 20519 20951 21097 34391 36281 39319 39593 49487 50881 68089 70007 82943 88111 95489 143633 147679 165359 170017 201433 212503 277151 346409 348823 356167 358649 398807 410041 616777 668423 673081 710071 841279 864977 1157513 1190119 1410031 1487521 1497887 1623313 2441761 2510543 2791649 2811103 2870287 2890289 3612551 4711567 4970497 5888953 6054839 6779719 6970697 10485209 11363191 12071207 14301743 14704609 19677721 20232023 25287857 25464079 27596321 29112911 47458033 47788751 48794879 49134913 61413367 84498449 100112201 102932263 115255223 118501849 178248553 193174247 203790377 205210519 334521257 343944391 429893569 494919487 806786561 829512943 1044027239 1436473633 1959338791 2014531433 3464436409 3488578823 7308190673 8413631279 13715371537 14101720031 24420051761 58895418953 143031731743 1001222122201