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10222101099 = 347194123143
BaseRepresentation
bin10011000010100100…
…01110001001101011
3222101101200112120000
421201102032021223
5131413324213344
64410155034043
7511212266010
oct114122161153
928341615500
1010222101099
114376122941
121b9343b923
13c6ba12342
146cd859707
153ec630a69
hex26148e26b

10222101099 has 80 divisors (see below), whose sum is σ = 18818849280. Its totient is φ = 5398565760.

The previous prime is 10222101079. The next prime is 10222101103. The reversal of 10222101099 is 99010122201.

It is not a de Polignac number, because 10222101099 - 27 = 10222100971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10222101049) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430122 + ... + 453264.

It is an arithmetic number, because the mean of its divisors is an integer number (235235616).

Almost surely, 210222101099 is an apocalyptic number.

10222101099 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10222101099 is a deficient number, since it is larger than the sum of its proper divisors (8596748181).

10222101099 is a wasteful number, since it uses less digits than its factorization.

10222101099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23222 (or 23213 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10222101099 in words is "ten billion, two hundred twenty-two million, one hundred one thousand, ninety-nine".

Divisors: 1 3 7 9 19 21 27 41 57 63 81 123 133 171 189 287 369 399 513 567 779 861 1107 1197 1539 2337 2583 3321 3591 5453 7011 7749 10773 16359 21033 23143 23247 49077 63099 69429 147231 162001 208287 439717 441693 486003 624861 948863 1319151 1458009 1874583 2846589 3078019 3957453 4374027 6642041 8539767 9234057 11872359 13122081 18028397 19926123 25619301 27702171 35617077 54085191 59778369 76857903 83106513 126198779 162255573 179335107 249319539 378596337 486766719 538005321 1135789011 1460300157 3407367033 10222101099