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10221002221111 = 11109181347135727
BaseRepresentation
bin1001010010111100001100…
…1101001110011000110111
31100012010012012220022110221
42110233003031032120313
52314430103032033421
633423244045355211
72103304651256533
oct224570315163067
940163165808427
1010221002221111
113290780324850
121190a94b68b07
13591ab4689466
142749b0660bc3
1512ad12102841
hex94bc334e637

10221002221111 has 32 divisors (see below), whose sum is σ = 11347338562560. Its totient is φ = 9129256502400.

The previous prime is 10221002221109. The next prime is 10221002221147. The reversal of 10221002221111 is 11112220012201.

It is a cyclic number.

It is not a de Polignac number, because 10221002221111 - 21 = 10221002221109 is a prime.

It is a super-3 number, since 3×102210022211113 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221002221411) 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 31 ways as a sum of consecutive naturals, for example, 75237730 + ... + 75373456.

It is an arithmetic number, because the mean of its divisors is an integer number (354604330080).

Almost surely, 210221002221111 is an apocalyptic number.

10221002221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221002221111 is a deficient number, since it is larger than the sum of its proper divisors (1126336341449).

10221002221111 is a wasteful number, since it uses less digits than its factorization.

10221002221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136375.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10221002221111 its reverse (11112220012201), we get a palindrome (21333222233312).

The spelling of 10221002221111 in words is "ten trillion, two hundred twenty-one billion, two million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 11 109 181 347 1199 1991 3817 19729 37823 62807 135727 217019 416053 690877 1492997 6845963 14794243 24566587 47097269 75305593 162736673 270232457 518069959 2677757983 5133602321 8524605689 29455337813 56469625531 93770662579 929182020101 10221002221111