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232331023120 = 24574110118947
BaseRepresentation
bin1101100001100000000…
…0100001001100010000
3211012200112210211110011
43120120000201030100
512301303220214440
6254421552044304
722533244053430
oct3303000411420
9735615724404
10232331023120
118a592895419
123903b233694
1318ba75cbca1
14b35dd522c0
15609ba4b9ea
hex3618021310

232331023120 has 80 divisors (see below), whose sum is σ = 632393774208. Its totient is φ = 77713505280.

The previous prime is 232331023087. The next prime is 232331023129. The reversal of 232331023120 is 21320133232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 232331023091 and 232331023100.

It is not an unprimeable number, because it can be changed into a prime (232331023129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5036514 + ... + 5082433.

Almost surely, 2232331023120 is an apocalyptic number.

232331023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232331023120 is an abundant number, since it is smaller than the sum of its proper divisors (400062751088).

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

232331023120 is a wasteful number, since it uses less digits than its factorization.

232331023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119008 (or 10119002 counting only the distinct ones).

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

Adding to 232331023120 its reverse (21320133232), we get a palindrome (253651156352).

The spelling of 232331023120 in words is "two hundred thirty-two billion, three hundred thirty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 22960 10118947 20237894 40475788 50594735 70832629 80951576 101189470 141665258 161903152 202378940 283330516 354163145 404757880 414876827 566661032 708326290 809515760 829753654 1133322064 1416652580 1659507308 2074384135 2833305160 2904137789 3319014616 4148768270 5666610320 5808275578 6638029232 8297536540 11616551156 14520688945 16595073080 23233102312 29041377890 33190146160 46466204624 58082755780 116165511560 232331023120