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234323420100 = 2235271112779873
BaseRepresentation
bin1101101000111011000…
…0111010001111000100
3211101211101212002021220
43122032300322033010
512314343243420400
6255351404040340
722633516131120
oct3321660721704
9741741762256
10234323420100
11904155097a0
12394b65330b0
1319134313803
14b4ac7cc580
15616690b7a0
hex368ec3a3c4

234323420100 has 288 divisors, whose sum is σ = 851934806016. Its totient is φ = 48306585600.

The previous prime is 234323420053. The next prime is 234323420137. The reversal of 234323420100 is 1024323432.

234323420100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2343234201002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2893764 + ... + 2973636.

Almost surely, 2234323420100 is an apocalyptic number.

234323420100 is a gapful number since it is divisible by the number (20) 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 234323420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425967403008).

234323420100 is an abundant number, since it is smaller than the sum of its proper divisors (617611385916).

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

234323420100 is a wasteful number, since it uses less digits than its factorization.

234323420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80035 (or 80028 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 234323420100 its reverse (1024323432), we get a palindrome (235347743532).

The spelling of 234323420100 in words is "two hundred thirty-four billion, three hundred twenty-three million, four hundred twenty thousand, one hundred".