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210221110112100 = 22352977224093131
BaseRepresentation
bin101111110011000111101010…
…100101111010111101100100
31000120022221102121112210122220
4233303013222211322331210
5210023230313142041400
62023034124511352340
762164655036633343
oct5763075245727544
91016287377483586
10210221110112100
1160a8a2aa2291aa
121b6b23145226b0
13903b9c50c2759
1439caa8272bb5a
1519485008a47a0
hexbf31ea97af64

210221110112100 has 72 divisors (see below), whose sum is σ = 614510258180448. Its totient is φ = 55481035238400.

The previous prime is 210221110112047. The next prime is 210221110112129. The reversal of 210221110112100 is 1211011122012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210221110112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3612017466 + ... + 3612075665.

Almost surely, 2210221110112100 is an apocalyptic number.

210221110112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221110112100 is an abundant number, since it is smaller than the sum of its proper divisors (404289148068348).

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

210221110112100 is a wasteful number, since it uses less digits than its factorization.

210221110112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7224093245 (or 7224093238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 210221110112100 its reverse (1211011122012), we get a palindrome (211432121234112).

The spelling of 210221110112100 in words is "two hundred ten trillion, two hundred twenty-one billion, one hundred ten million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 4850 5820 7275 9700 14550 29100 7224093131 14448186262 21672279393 28896372524 36120465655 43344558786 72240931310 86689117572 108361396965 144481862620 180602328275 216722793930 361204656550 433445587860 541806984825 700737033707 722409313100 1083613969650 1401474067414 2102211101121 2167227939300 2802948134828 3503685168535 4204422202242 7007370337070 8408844404484 10511055505605 14014740674140 17518425842675 21022111011210 35036851685350 42044222022420 52555277528025 70073703370700 105110555056050 210221110112100