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121432550100 = 22352821493027
BaseRepresentation
bin111000100010111110…
…0011010101011010100
3102121102211202200210120
41301011330122223110
53442143213100400
6131441344551540
711526132434211
oct1610574325324
9377384680716
10121432550100
1147554566224
121b64b6225b0
13b5b2c21754
145c3d6ccb08
15325ab29ca0
hex1c45f1aad4

121432550100 has 72 divisors (see below), whose sum is σ = 351773505888. Its totient is φ = 32342505600.

The previous prime is 121432550069. The next prime is 121432550101. The reversal of 121432550100 is 1055234121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121432550101) 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, 214 + ... + 492813.

Almost surely, 2121432550100 is an apocalyptic number.

121432550100 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 121432550100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175886752944).

121432550100 is an abundant number, since it is smaller than the sum of its proper divisors (230340955788).

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

121432550100 is a wasteful number, since it uses less digits than its factorization.

121432550100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493865 (or 493858 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 121432550100 its reverse (1055234121), we get a palindrome (122487784221).

The spelling of 121432550100 in words is "one hundred twenty-one billion, four hundred thirty-two million, five hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 821 1642 2463 3284 4105 4926 8210 9852 12315 16420 20525 24630 41050 49260 61575 82100 123150 246300 493027 986054 1479081 1972108 2465135 2958162 4930270 5916324 7395405 9860540 12325675 14790810 24651350 29581620 36977025 49302700 73954050 147908100 404775167 809550334 1214325501 1619100668 2023875835 2428651002 4047751670 4857302004 6071627505 8095503340 10119379175 12143255010 20238758350 24286510020 30358137525 40477516700 60716275050 121432550100