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213023144000 = 265326627893
BaseRepresentation
bin1100011001100100101…
…0110011100001000000
3202100211221121221120002
43012121022303201000
511442232411102000
6241510025135132
721250624563602
oct3063112634100
9670757557502
10213023144000
1182385014027
123535102a4a8
131711b435344
14a44b953172
15581b9488d5
hex31992b3840

213023144000 has 56 divisors (see below), whose sum is σ = 527551835928. Its totient is φ = 85209254400.

The previous prime is 213023143987. The next prime is 213023144051. The reversal of 213023144000 is 441320312.

It can be written as a sum of positive squares in 4 ways, for example, as 26613354496 + 186409789504 = 163136^2 + 431752^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13305947 + ... + 13321946.

Almost surely, 2213023144000 is an apocalyptic number.

213023144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213023144000 is an abundant number, since it is smaller than the sum of its proper divisors (314528691928).

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

213023144000 is an equidigital number, since it uses as much as digits as its factorization.

213023144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26627920 (or 26627900 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213023144000 its reverse (441320312), we get a palindrome (213464464312).

The spelling of 213023144000 in words is "two hundred thirteen billion, twenty-three million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 26627893 53255786 106511572 133139465 213023144 266278930 426046288 532557860 665697325 852092576 1065115720 1331394650 1704185152 2130231440 2662789300 3328486625 4260462880 5325578600 6656973250 8520925760 10651157200 13313946500 21302314400 26627893000 42604628800 53255786000 106511572000 213023144000