Search a number
-
+
121100300132020 = 225111494913682201
BaseRepresentation
bin11011100010001111011100…
…010111110001111010110100
3120212210002001010121002101221
4123202033130113301322310
5111333101403313211040
61105320413155200124
734336131221041156
oct3342173427617264
9525702033532357
10121100300132020
113564a3923898a0
12116ba0715a6044
13527592b44ab51
1421c9400342ad6
15e0016b63e74a
hex6e23dc5f1eb4

121100300132020 has 48 divisors (see below), whose sum is σ = 277431709657536. Its totient is φ = 44036166240000.

The previous prime is 121100300131963. The next prime is 121100300132023. The reversal of 121100300132020 is 20231003001121.

It is a junction number, because it is equal to n+sod(n) for n = 121100300131985 and 121100300132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100300132023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31046920 + ... + 34729120.

It is an arithmetic number, because the mean of its divisors is an integer number (5779827284532).

Almost surely, 2121100300132020 is an apocalyptic number.

121100300132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121100300132020 is an abundant number, since it is smaller than the sum of its proper divisors (156331409525516).

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

121100300132020 is a wasteful number, since it uses less digits than its factorization.

121100300132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831712 (or 3831710 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121100300132020 its reverse (20231003001121), we get a palindrome (141331303133141).

The spelling of 121100300132020 in words is "one hundred twenty-one trillion, one hundred billion, three hundred million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 149491 298982 597964 747455 1494910 1644401 2989820 3288802 3682201 6577604 7364402 8222005 14728804 16444010 18411005 32888020 36822010 40504211 73644020 81008422 162016844 202521055 405042110 810084220 550455909691 1100911819382 2201823638764 2752279548455 5504559096910 6055015006601 11009118193820 12110030013202 24220060026404 30275075033005 60550150066010 121100300132020