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1000233320232 = 233401197952517
BaseRepresentation
bin11101000111000101000…
…11010011111100101000
310112121202222110022200010
432203202203103330220
5112341434212221412
62043300103211520
7132156466640646
oct16434243237450
93477688408603
101000233320232
113562186a6933
12141a28146ba0
137342471b153
14365a9420196
151b041ea333c
hexe8e28d3f28

1000233320232 has 64 divisors (see below), whose sum is σ = 2508133636800. Its totient is φ = 332405273600.

The previous prime is 1000233320201. The next prime is 1000233320279. The reversal of 1000233320232 is 2320233320001.

1000233320232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1000233320199 and 1000233320208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19019638 + ... + 19072154.

It is an arithmetic number, because the mean of its divisors is an integer number (39189588075).

Almost surely, 21000233320232 is an apocalyptic number.

1000233320232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000233320232 is an abundant number, since it is smaller than the sum of its proper divisors (1507900316568).

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

1000233320232 is a wasteful number, since it uses less digits than its factorization.

1000233320232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54906 (or 54902 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 1000233320232 its reverse (2320233320001), we get a palindrome (3320466640233).

The spelling of 1000233320232 in words is "one trillion, two hundred thirty-three million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 401 802 1203 1604 1979 2406 3208 3958 4812 5937 7916 9624 11874 15832 23748 47496 52517 105034 157551 210068 315102 420136 630204 793579 1260408 1587158 2380737 3174316 4761474 6348632 9522948 19045896 21059317 42118634 63177951 84237268 103931143 126355902 168474536 207862286 252711804 311793429 415724572 505423608 623586858 831449144 1247173716 2494347432 41676388343 83352776686 125029165029 166705553372 250058330058 333411106744 500116660116 1000233320232