Search a number
-
+
10220110113300 = 22352166720436133
BaseRepresentation
bin1001010010111000111000…
…0010000110101000010100
31100012000220001020112121220
42110232032002012220110
52314421241142111200
633423015340410340
72103243566421243
oct224561602065024
940160801215556
1010220110113300
1132903627a2a6a
1211908862469b0
135919a18c7109
14274927d9a95a
1512acadb344a0
hex94b8e086a14

10220110113300 has 72 divisors (see below), whose sum is σ = 29587925272416. Its totient is φ = 2723727672960.

The previous prime is 10220110113223. The next prime is 10220110113319. The reversal of 10220110113300 is 331101102201.

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 10220110113300.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9717967 + ... + 10718166.

Almost surely, 210220110113300 is an apocalyptic number.

10220110113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220110113300 is an abundant number, since it is smaller than the sum of its proper divisors (19367815159116).

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

10220110113300 is a wasteful number, since it uses less digits than its factorization.

10220110113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20437817 (or 20437810 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10220110113300 its reverse (331101102201), we get a palindrome (10551211215501).

The spelling of 10220110113300 in words is "ten trillion, two hundred twenty billion, one hundred ten million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1667 3334 5001 6668 8335 10002 16670 20004 25005 33340 41675 50010 83350 100020 125025 166700 250050 500100 20436133 40872266 61308399 81744532 102180665 122616798 204361330 245233596 306541995 408722660 510903325 613083990 1021806650 1226167980 1532709975 2043613300 3065419950 6130839900 34067033711 68134067422 102201101133 136268134844 170335168555 204402202266 340670337110 408804404532 511005505665 681340674220 851675842775 1022011011330 1703351685550 2044022022660 2555027528325 3406703371100 5110055056650 10220110113300