Search a number
-
+
233241103100 = 22524354242117
BaseRepresentation
bin1101100100111001000…
…0001100101011111100
3211022000222021200111002
43121032100030223330
512310134210244400
6255052142145432
722564634444015
oct3311620145374
9738028250432
10233241103100
118aa0a581a35
1239253b82278
1318cc1014755
14b408b7400c
1561018b9ed5
hex364e40cafc

233241103100 has 36 divisors (see below), whose sum is σ = 517903742664. Its totient is φ = 91126754880.

The previous prime is 233241103097. The next prime is 233241103103. The reversal of 233241103100 is 1301142332.

233241103100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233241103097) and next prime (233241103103).

It is a super-2 number, since 2×2332411031002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233241103103) 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 11 ways as a sum of consecutive naturals, for example, 27116759 + ... + 27125358.

It is an arithmetic number, because the mean of its divisors is an integer number (14386215074).

Almost surely, 2233241103100 is an apocalyptic number.

233241103100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233241103100 is an abundant number, since it is smaller than the sum of its proper divisors (284662639564).

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

233241103100 is a wasteful number, since it uses less digits than its factorization.

233241103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54242174 (or 54242167 counting only the distinct ones).

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

Adding to 233241103100 its reverse (1301142332), we get a palindrome (234542245432).

The spelling of 233241103100 in words is "two hundred thirty-three billion, two hundred forty-one million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 54242117 108484234 216968468 271210585 542421170 1084842340 1356052925 2332411031 2712105850 4664822062 5424211700 9329644124 11662055155 23324110310 46648220620 58310275775 116620551550 233241103100