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1002212101011 = 3111631819471087
BaseRepresentation
bin11101001010110000111…
…11110000101110010011
310112210212212212210121010
432211120133300232103
5112410012244213021
62044224311302003
7132256515205062
oct16453037605623
93483785783533
101002212101011
11357043670150
1214229a97a903
137367b676154
14367161541d9
151b10aa73976
hexe9587f0b93

1002212101011 has 64 divisors (see below), whose sum is σ = 1477725290496. Its totient is φ = 599154019200.

The previous prime is 1002212100991. The next prime is 1002212101039. The reversal of 1002212101011 is 1101012122001.

It is a de Polignac number, because none of the positive numbers 2k-1002212101011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002212101081) 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, 921997710 + ... + 921998796.

It is an arithmetic number, because the mean of its divisors is an integer number (23089457664).

Almost surely, 21002212101011 is an apocalyptic number.

1002212101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002212101011 is a deficient number, since it is larger than the sum of its proper divisors (475513189485).

1002212101011 is a wasteful number, since it uses less digits than its factorization.

1002212101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002212101011 its reverse (1101012122001), we get a palindrome (2103224223012).

The spelling of 1002212101011 in words is "one trillion, two billion, two hundred twelve million, one hundred one thousand, eleven".

Divisors: 1 3 11 33 163 181 489 543 947 1087 1793 1991 2841 3261 5379 5973 10417 11957 29503 31251 35871 88509 154361 171407 177181 196747 324533 463083 514221 531543 590241 973599 1029389 1697971 1885477 1948991 2164217 3088167 5093913 5656431 5846973 6492651 11323279 27939341 32069761 33969837 83818023 96209283 167790407 186319409 307332751 352767371 503371221 558958227 921998253 1058302113 1845694477 2049513499 5537083431 6148540497 30370063667 91110191001 334070700337 1002212101011