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200132321312 = 25721129478513
BaseRepresentation
bin1011101001100011010…
…0001110000000100000
3201010120120021022012202
42322120310032000200
511234332333240222
6231534534112332
720313315443300
oct2723064160040
9633516238182
10200132321312
117796a529160
1232953aab6a8
1315b4586b401
1499878c7600
155314db0892
hex2e98d0e020

200132321312 has 288 divisors, whose sum is σ = 528314814720. Its totient is φ = 73674424320.

The previous prime is 200132321303. The next prime is 200132321327. The reversal of 200132321312 is 213123231002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23504768 + ... + 23513280.

It is an arithmetic number, because the mean of its divisors is an integer number (1834426440).

Almost surely, 2200132321312 is an apocalyptic number.

200132321312 is a gapful number since it is divisible by the number (22) 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 200132321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264157407360).

200132321312 is an abundant number, since it is smaller than the sum of its proper divisors (328182493408).

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

200132321312 is a wasteful number, since it uses less digits than its factorization.

200132321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 200132321312 its reverse (213123231002), we get a palindrome (413255552314).

The spelling of 200132321312 in words is "two hundred billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred twelve".