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101102114444322 = 23316110783278651
BaseRepresentation
bin10110111111001110101011…
…100111100001010000100010
3111020222021020012002012100010
4112333032223213201100202
5101222424112244204242
6555005400432105350
730203246434303425
oct2677165347412042
9436867205065303
10101102114444322
112a23a190971512
12b40a325695256
134454b71cc87b4
141ad75230459bc
15ba4d70bdc89c
hex5bf3ab9e1422

101102114444322 has 64 divisors (see below), whose sum is σ = 214131399856128. Its totient is φ = 31779132840000.

The previous prime is 101102114444321. The next prime is 101102114444323. The reversal of 101102114444322 is 223444411201101.

It is an interprime number because it is at equal distance from previous prime (101102114444321) and next prime (101102114444323).

It is a super-3 number, since 3×1011021144443223 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101102114444322.

It is not an unprimeable number, because it can be changed into a prime (101102114444321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40425304 + ... + 42853347.

It is an arithmetic number, because the mean of its divisors is an integer number (3345803122752).

Almost surely, 2101102114444322 is an apocalyptic number.

101102114444322 is an abundant number, since it is smaller than the sum of its proper divisors (113029285411806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101102114444322 is a wasteful number, since it uses less digits than its factorization.

101102114444322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83278855.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 101102114444322 its reverse (223444411201101), we get a palindrome (324546525645423).

The spelling of 101102114444322 in words is "one hundred one trillion, one hundred two billion, one hundred fourteen million, four hundred forty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 31 61 62 93 107 122 183 186 214 321 366 642 1891 3317 3782 5673 6527 6634 9951 11346 13054 19581 19902 39162 202337 404674 607011 1214022 83278651 166557302 249835953 499671906 2581638181 5079997711 5163276362 7744914543 8910815657 10159995422 15239993133 15489829086 17821631314 26732446971 30479986266 53464893942 157479929041 276235285367 314959858082 472439787123 543559755077 552470570734 828705856101 944879574246 1087119510154 1630679265231 1657411712202 3261358530462 16850352407387 33700704814774 50551057222161 101102114444322