Search a number
-
+
121113202100 = 225211379290509
BaseRepresentation
bin111000011001011101…
…0001100110110110100
3102120121120212010200212
41300302322030312310
53441014434431400
6131345540124552
711515204142402
oct1606272146664
9376546763625
10121113202100
1147400277360
121b580696758
13b561a0b237
145c0d120472
15323ca98335
hex1c32e8cdb4

121113202100 has 72 divisors (see below), whose sum is σ = 287465455200. Its totient is φ = 43924809600.

The previous prime is 121113202061. The next prime is 121113202103. The reversal of 121113202100 is 1202311121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121113202103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271646 + ... + 562154.

Almost surely, 2121113202100 is an apocalyptic number.

121113202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121113202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143732727600).

121113202100 is an abundant number, since it is smaller than the sum of its proper divisors (166352253100).

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

121113202100 is a wasteful number, since it uses less digits than its factorization.

121113202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290913 (or 290906 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 121113202100 its reverse (1202311121), we get a palindrome (122315513221).

The spelling of 121113202100 in words is "one hundred twenty-one billion, one hundred thirteen million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 379 550 758 1100 1516 1895 3790 4169 7580 8338 9475 16676 18950 20845 37900 41690 83380 104225 208450 290509 416900 581018 1162036 1452545 2905090 3195599 5810180 6391198 7262725 12782396 14525450 15977995 29050900 31955990 63911980 79889975 110102911 159779950 220205822 319559900 440411644 550514555 1101029110 1211132021 2202058220 2422264042 2752572775 4844528084 5505145550 6055660105 11010291100 12111320210 24222640420 30278300525 60556601050 121113202100