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121432100 = 22524092969
BaseRepresentation
bin1110011110011…
…10100000100100
322110111101112012
413033032200210
5222041311400
620014413352
73003104306
oct717164044
9273441465
10121432100
11625aa809
1234801258
131c208a1a
14121ad976
15a9d9d35
hex73ce824

121432100 has 36 divisors (see below), whose sum is σ = 264240900. Its totient is φ = 48437760.

The previous prime is 121432057. The next prime is 121432117. The reversal of 121432100 is 1234121.

It can be written as a sum of positive squares in 6 ways, for example, as 7540516 + 113891584 = 2746^2 + 10672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39416 + ... + 42384.

It is an arithmetic number, because the mean of its divisors is an integer number (7340025).

Almost surely, 2121432100 is an apocalyptic number.

121432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121432100 is an abundant number, since it is smaller than the sum of its proper divisors (142808800).

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

121432100 is a wasteful number, since it uses less digits than its factorization.

121432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 121432100 is about 11019.6234055434. The cubic root of 121432100 is about 495.1968064133.

Adding to 121432100 its reverse (1234121), we get a palindrome (122666221).

The spelling of 121432100 in words is "one hundred twenty-one million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 409 818 1636 2045 2969 4090 5938 8180 10225 11876 14845 20450 29690 40900 59380 74225 148450 296900 1214321 2428642 4857284 6071605 12143210 24286420 30358025 60716050 121432100