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233103230120 = 23524146152453
BaseRepresentation
bin1101100100011000001…
…0010000010010101000
3211021200100212000022102
43121012002100102220
512304343411330440
6255030335112532
722561341522665
oct3310602202250
9737610760272
10233103230120
118a949772a22
1239215972748
1318c9b5a05c7
14b3d4724a6c
1560e4733b15
hex36460904a8

233103230120 has 64 divisors (see below), whose sum is σ = 527811031440. Its totient is φ = 92651212800.

The previous prime is 233103230077. The next prime is 233103230123. The reversal of 233103230120 is 21032301332.

It can be written as a sum of positive squares in 8 ways, for example, as 97960236196 + 135142993924 = 312986^2 + 367618^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 233103230092 and 233103230101.

It is not an unprimeable number, because it can be changed into a prime (233103230123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4417814 + ... + 4470266.

Almost surely, 2233103230120 is an apocalyptic number.

233103230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233103230120 is an abundant number, since it is smaller than the sum of its proper divisors (294707801320).

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

233103230120 is a wasteful number, since it uses less digits than its factorization.

233103230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53166 (or 53162 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 233103230120 its reverse (21032301332), we get a palindrome (254135531452).

The spelling of 233103230120 in words is "two hundred thirty-three billion, one hundred three million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 241 461 482 922 964 1205 1844 1928 2305 2410 3688 4610 4820 9220 9640 18440 52453 104906 111101 209812 222202 262265 419624 444404 524530 555505 888808 1049060 1111010 2098120 2222020 4444040 12641173 24180833 25282346 48361666 50564692 63205865 96723332 101129384 120904165 126411730 193446664 241808330 252823460 483616660 505646920 967233320 5827580753 11655161506 23310323012 29137903765 46620646024 58275807530 116551615060 233103230120