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201343022304 = 25323431211573
BaseRepresentation
bin1011101110000011111…
…0101011010011100000
3201020200221102021202020
42323200332223103200
511244322303203204
6232255023421440
720355316310634
oct2734076532340
9636627367666
10201343022304
1178430983796
1233031454880
1315ca963b528
149a60600dc4
155386311bd9
hex2ee0fab4e0

201343022304 has 96 divisors (see below), whose sum is σ = 552787006464. Its totient is φ = 64047075840.

The previous prime is 201343022299. The next prime is 201343022311. The reversal of 201343022304 is 403220343102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845862 + ... + 1057434.

It is an arithmetic number, because the mean of its divisors is an integer number (5758197984).

Almost surely, 2201343022304 is an apocalyptic number.

201343022304 is a gapful number since it is divisible by the number (24) 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 201343022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276393503232).

201343022304 is an abundant number, since it is smaller than the sum of its proper divisors (351443984160).

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

201343022304 is a wasteful number, since it uses less digits than its factorization.

201343022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212040 (or 212032 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 201343022304 its reverse (403220343102), we get a palindrome (604563365406).

The spelling of 201343022304 in words is "two hundred one billion, three hundred forty-three million, twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 431 552 736 862 1104 1293 1724 2208 2586 3448 5172 6896 9913 10344 13792 19826 20688 29739 39652 41376 59478 79304 118956 158608 211573 237912 317216 423146 475824 634719 846292 951648 1269438 1692584 2538876 3385168 4866179 5077752 6770336 9732358 10155504 14598537 19464716 20311008 29197074 38929432 58394148 77858864 91187963 116788296 155717728 182375926 233576592 273563889 364751852 467153184 547127778 729503704 1094255556 1459007408 2097323149 2188511112 2918014816 4194646298 4377022224 6291969447 8389292596 8754044448 12583938894 16778585192 25167877788 33557170384 50335755576 67114340768 100671511152 201343022304