Search a number
-
+
10232223222312 = 2333731329379901
BaseRepresentation
bin1001010011100110000000…
…0001111100101000101000
31100020012011020012020101000
42110321200001330220220
52320121043121103222
633432341330355000
72104153013226000
oct224714001745050
940205136166330
1010232223222312
11329550928a063
1211930a6a2ba60
13592b82312140
14275356a1d000
1512b26c2989ac
hex94e6007ca28

10232223222312 has 1024 divisors, whose sum is σ = 37928620800000. Its totient is φ = 2534876467200.

The previous prime is 10232223222229. The next prime is 10232223222313. The reversal of 10232223222312 is 21322232223201.

10232223222312 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 22 + 322 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10232223222313) 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 255 ways as a sum of consecutive naturals, for example, 1033448562 + ... + 1033458462.

It is an arithmetic number, because the mean of its divisors is an integer number (37039668750).

Almost surely, 210232223222312 is an apocalyptic number.

10232223222312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232223222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18964310400000).

10232223222312 is an abundant number, since it is smaller than the sum of its proper divisors (27696397577688).

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

10232223222312 is a wasteful number, since it uses less digits than its factorization.

10232223222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10232223222312 its reverse (21322232223201), we get a palindrome (31554455445513).

The spelling of 10232223222312 in words is "ten trillion, two hundred thirty-two billion, two hundred twenty-three million, two hundred twenty-two thousand, three hundred twelve".