Search a number
-
+
12211102102100 = 22521123482652257
BaseRepresentation
bin1011000110110001111001…
…1001110011001001010100
31121020100222200221000021112
42301230132121303021110
53100031314114231400
641545411452434152
72400136331201066
oct261543631631124
947210880830245
1012211102102100
1139887768806a0
121452715478958
136a766ab34935
1430304034b736
1516298ada1835
hexb1b1e673254

12211102102100 has 72 divisors (see below), whose sum is σ = 30163835515968. Its totient is φ = 4247339852800.

The previous prime is 12211102102063. The next prime is 12211102102139. The reversal of 12211102102100 is 120120111221.

12211102102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122111021021002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241300829 + ... + 241351428.

It is an arithmetic number, because the mean of its divisors is an integer number (418942159944).

Almost surely, 212211102102100 is an apocalyptic number.

12211102102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211102102100 is an abundant number, since it is smaller than the sum of its proper divisors (17952733413868).

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

12211102102100 is a wasteful number, since it uses less digits than its factorization.

12211102102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482652305 (or 482652298 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211102102100 its reverse (120120111221), we get a palindrome (12331222213321).

The spelling of 12211102102100 in words is "twelve trillion, two hundred eleven billion, one hundred two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 482652257 965304514 1930609028 2413261285 4826522570 5309174827 9653045140 10618349654 11101001911 12066306425 21236699308 22202003822 24132612850 26545874135 44404007644 48265225700 53091748270 55505009555 106183496540 111010019110 122111021021 132729370675 222020038220 244222042042 265458741350 277525047775 488444084084 530917482700 555050095550 610555105105 1110100191100 1221110210210 2442220420420 3052775525525 6105551051050 12211102102100