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123001330000 = 245412300133
BaseRepresentation
bin111001010001101110…
…0110101100101010000
3102202111011200222020211
41302203130311211100
54003401320030000
6132301145213504
711613042024433
oct1624334654520
9382434628224
10123001330000
114818a05383a
121ba08a91294
13b7a2c46093
145d4bbb781a
1532ed70d7ba
hex1ca3735950

123001330000 has 50 divisors (see below), whose sum is σ = 297798544274. Its totient is φ = 49200528000.

The previous prime is 123001329989. The next prime is 123001330007. The reversal of 123001330000 is 33100321.

It can be written as a sum of positive squares in 5 ways, for example, as 34266452544 + 88734877456 = 185112^2 + 297884^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001330007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6140067 + ... + 6160066.

Almost surely, 2123001330000 is an apocalyptic number.

123001330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123001330000 is an abundant number, since it is smaller than the sum of its proper divisors (174797214274).

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

123001330000 is an equidigital number, since it uses as much as digits as its factorization.

123001330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300161 (or 12300140 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 123001330000 its reverse (33100321), we get a palindrome (123034430321).

The spelling of 123001330000 in words is "one hundred twenty-three billion, one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 12300133 24600266 49200532 61500665 98401064 123001330 196802128 246002660 307503325 492005320 615006650 984010640 1230013300 1537516625 2460026600 3075033250 4920053200 6150066500 7687583125 12300133000 15375166250 24600266000 30750332500 61500665000 123001330000