Search a number
-
+
121000000100 = 225271237139739
BaseRepresentation
bin111000010110000101…
…0010111101001100100
3102120022200211212202012
41300230022113221210
53440302000000400
6131330413533352
711512331013410
oct1605412275144
9376280755665
10121000000100
1147352388a91
121b54a7a4258
13b5444245c5
145bdc093d40
153232b86d35
hex1c2c297a64

121000000100 has 72 divisors (see below), whose sum is σ = 300324736320. Its totient is φ = 41451880320.

The previous prime is 121000000091. The next prime is 121000000111. The reversal of 121000000100 is 1000000121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 796031 + ... + 935769.

Almost surely, 2121000000100 is an apocalyptic number.

121000000100 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 121000000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150162368160).

121000000100 is an abundant number, since it is smaller than the sum of its proper divisors (179324736220).

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

121000000100 is a wasteful number, since it uses less digits than its factorization.

121000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140997 (or 140990 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 121000000100 its reverse (1000000121), we get a palindrome (122000000221).

The spelling of 121000000100 in words is "one hundred twenty-one billion, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1237 2474 4948 6185 8659 12370 17318 24740 30925 34636 43295 61850 86590 123700 139739 173180 216475 279478 432950 558956 698695 865900 978173 1397390 1956346 2794780 3493475 3912692 4890865 6986950 9781730 13973900 19563460 24454325 48908650 97817300 172857143 345714286 691428572 864285715 1210000001 1728571430 2420000002 3457142860 4321428575 4840000004 6050000005 8642857150 12100000010 17285714300 24200000020 30250000025 60500000050 121000000100