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10221209999 = 711131719101313
BaseRepresentation
bin10011000010011101…
…10100100110001111
3222101100000021012022
421201032310212033
5131413112204444
64410124000355
7511201565030
oct114116644617
928340007168
1010221209999
1143756743a0
121b930900bb
13c6b78c870
146cd6a6a87
153ec5069ee
hex2613b498f

10221209999 has 128 divisors (see below), whose sum is σ = 15496427520. Its totient is φ = 6469632000.

The previous prime is 10221209987. The next prime is 10221210001. The reversal of 10221209999 is 99990212201.

It is a happy number.

10221209999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1011002-1.

It is not a de Polignac number, because 10221209999 - 28 = 10221209743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221209909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32655467 + ... + 32655779.

It is an arithmetic number, because the mean of its divisors is an integer number (121065840).

Almost surely, 210221209999 is an apocalyptic number.

10221209999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10221209999 is a deficient number, since it is larger than the sum of its proper divisors (5275217521).

10221209999 is a wasteful number, since it uses less digits than its factorization.

10221209999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 52488, while the sum is 44.

The spelling of 10221209999 in words is "ten billion, two hundred twenty-one million, two hundred nine thousand, nine hundred ninety-nine".

Divisors: 1 7 11 13 17 19 77 91 101 119 133 143 187 209 221 247 313 323 707 1001 1111 1309 1313 1463 1547 1717 1729 1919 2191 2261 2431 2717 3443 3553 4069 4199 5321 5947 7777 9191 12019 13433 14443 17017 18887 19019 21109 22321 24101 24871 24947 28483 29393 31613 32623 37247 41629 44759 46189 58531 65417 69173 77311 101099 101101 132209 147763 156247 174629 221291 228361 245531 274417 313313 323323 347743 358853 409717 410969 424099 457919 484211 537421 541177 600647 707693 760903 850421 1112089 1314287 1718717 1920919 2434201 2511971 2876783 2968693 3761947 4204529 4520659 4665089 5326321 5911631 5952947 6607117 6986473 7784623 7808411 9200009 10210999 14457157 31644613 32655623 41381417 46249819 48905311 54658877 71476993 76851203 85892521 101200099 112320989 132742987 537958421 601247647 786246923 929200909 1460172857 10221209999