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200341010320 = 245111951116689
BaseRepresentation
bin1011101010010101000…
…0010011011110010000
3201011010002221210201021
42322211100103132100
511240244244312240
6232011351045224
720321431330123
oct2724520233620
9634102853637
10200341010320
1177a67306310
12329b1970814
1315b79b78629
1499a74cc3ba
15532838454a
hex2ea5413790

200341010320 has 80 divisors (see below), whose sum is σ = 508402460160. Its totient is φ = 72813312000.

The previous prime is 200341010297. The next prime is 200341010327. The reversal of 200341010320 is 23010143002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200341010294 and 200341010303.

It is not an unprimeable number, because it can be changed into a prime (200341010327) 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 15 ways as a sum of consecutive naturals, for example, 1658536 + ... + 1775224.

It is an arithmetic number, because the mean of its divisors is an integer number (6355030752).

Almost surely, 2200341010320 is an apocalyptic number.

200341010320 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 200341010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254201230080).

200341010320 is an abundant number, since it is smaller than the sum of its proper divisors (308061449840).

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

200341010320 is a wasteful number, since it uses less digits than its factorization.

200341010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118664 (or 118658 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 200341010320 its reverse (23010143002), we get a palindrome (223351153322).

The spelling of 200341010320 in words is "two hundred billion, three hundred forty-one million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1951 3902 7804 9755 15608 19510 21461 31216 39020 42922 78040 85844 107305 116689 156080 171688 214610 233378 343376 429220 466756 583445 858440 933512 1166890 1283579 1716880 1867024 2333780 2567158 4667560 5134316 6417895 9335120 10268632 12835790 20537264 25671580 51343160 102686320 227660239 455320478 910640956 1138301195 1821281912 2276602390 2504262629 3642563824 4553204780 5008525258 9106409560 10017050516 12521313145 18212819120 20034101032 25042626290 40068202064 50085252580 100170505160 200341010320