Search a number
-
+
234123011300 = 225218112934973
BaseRepresentation
bin1101101000001011010…
…0011010010011100100
3211101022102202021002202
43122002310122103210
512313440442330200
6255315444354032
722625533521653
oct3320264322344
9741272667082
10234123011300
1190322377692
123945b3a5918
1319101945419
14b48dd4119a
1561540211d5
hex3682d1a4e4

234123011300 has 36 divisors (see below), whose sum is σ = 510853863156. Its totient is φ = 93131798400.

The previous prime is 234123011267. The next prime is 234123011341. The reversal of 234123011300 is 3110321432.

It can be written as a sum of positive squares in 6 ways, for example, as 82043290624 + 152079720676 = 286432^2 + 389974^2 .

It is a super-3 number, since 3×2341230113003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 6449387 + ... + 6485586.

Almost surely, 2234123011300 is an apocalyptic number.

234123011300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234123011300 is an abundant number, since it is smaller than the sum of its proper divisors (276730851856).

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

234123011300 is a wasteful number, since it uses less digits than its factorization.

234123011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935168 (or 12935161 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 234123011300 its reverse (3110321432), we get a palindrome (237233332732).

The spelling of 234123011300 in words is "two hundred thirty-four billion, one hundred twenty-three million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 12934973 25869946 51739892 64674865 129349730 258699460 323374325 646748650 1293497300 2341230113 4682460226 9364920452 11706150565 23412301130 46824602260 58530752825 117061505650 234123011300