Search a number
-
+
233003122132 = 221148780913441
BaseRepresentation
bin1101100100000000010…
…0010111110111010100
3211021102101110222222011
43121000010113313110
512304142244402012
6255012401314004
722556014600654
oct3310004276724
9737371428864
10233003122132
118a8a8208350
12391a8335904
1318c8391c901
14b3c5306364
1560daa5c1a7
hex3640117dd4

233003122132 has 48 divisors (see below), whose sum is σ = 446321715840. Its totient is φ = 105554534400.

The previous prime is 233003122129. The next prime is 233003122133. The reversal of 233003122132 is 231221300332.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233003122133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17328532 + ... + 17341972.

It is an arithmetic number, because the mean of its divisors is an integer number (9298369080).

Almost surely, 2233003122132 is an apocalyptic number.

233003122132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233003122132 is a deficient number, since it is larger than the sum of its proper divisors (213318593708).

233003122132 is a wasteful number, since it uses less digits than its factorization.

233003122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14752 (or 14750 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 233003122132 its reverse (231221300332), we get a palindrome (464224422464).

The spelling of 233003122132 in words is "two hundred thirty-three billion, three million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 487 809 974 1618 1948 3236 5357 8899 10714 13441 17798 21428 26882 35596 53764 147851 295702 393983 591404 787966 1575932 4333813 6545767 8667626 10873769 13091534 17335252 21747538 26183068 43495076 72003437 119611459 144006874 239222918 288013748 478445836 5295525503 10591051006 21182102012 58250780533 116501561066 233003122132