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200321012340 = 2232531167227947
BaseRepresentation
bin1011101010010000010…
…0000001001001110100
3201011001201022210122100
42322210010001021310
511240224134343330
6232005354302100
720321066340021
oct2724404011164
9634051283570
10200321012340
1177a56a97559
12329a7127930
1315b759960c7
1499a49a4548
155326734060
hex2ea4101274

200321012340 has 288 divisors, whose sum is σ = 634446618624. Its totient is φ = 51105795840.

The previous prime is 200321012327. The next prime is 200321012341. The reversal of 200321012340 is 43210123002.

200321012340 is a `hidden beast` number, since 2 + 0 + 0 + 321 + 0 + 1 + 2 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200321012341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211531747 + ... + 211532693.

It is an arithmetic number, because the mean of its divisors is an integer number (2202939648).

Almost surely, 2200321012340 is an apocalyptic number.

200321012340 is a gapful number since it is divisible by the number (20) 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 200321012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317223309312).

200321012340 is an abundant number, since it is smaller than the sum of its proper divisors (434125606284).

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

200321012340 is a wasteful number, since it uses less digits than its factorization.

200321012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200321012340 its reverse (43210123002), we get a palindrome (243531135342).

The spelling of 200321012340 in words is "two hundred billion, three hundred twenty-one million, twelve thousand, three hundred forty".