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201200332340 = 22573756536871
BaseRepresentation
bin1011101101100001111…
…0010110111000110100
3201020022222220212220202
42323120132112320310
511244024241113330
6232232525220032
720351634415130
oct2733036267064
9636288825822
10201200332340
11783683846a7
1232bb1701618
1315c85bcb9b7
149a4969a3c0
155378a28445
hex2ed8796e34

201200332340 has 96 divisors (see below), whose sum is σ = 496091549184. Its totient is φ = 67096926720.

The previous prime is 201200332261. The next prime is 201200332343. The reversal of 201200332340 is 43233002102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200332343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29279105 + ... + 29285975.

It is an arithmetic number, because the mean of its divisors is an integer number (5167620304).

Almost surely, 2201200332340 is an apocalyptic number.

201200332340 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 201200332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248045774592).

201200332340 is an abundant number, since it is smaller than the sum of its proper divisors (294891216844).

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

201200332340 is a wasteful number, since it uses less digits than its factorization.

201200332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12577 (or 12575 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 201200332340 its reverse (43233002102), we get a palindrome (244433334442).

The spelling of 201200332340 in words is "two hundred one billion, two hundred million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5180 5653 6871 11306 13742 22612 27484 28265 34355 39571 48097 56530 68710 79142 96194 113060 137420 158284 192388 197855 209161 240485 254227 395710 418322 480970 508454 791420 836644 961940 1016908 1045805 1271135 1464127 1779589 2091610 2542270 2928254 3559178 4183220 5084540 5856508 7118356 7320635 8897945 14641270 17795890 29282540 35591780 38841763 77683526 155367052 194208815 271892341 388417630 543784682 776835260 1087569364 1359461705 1437145231 2718923410 2874290462 5437846820 5748580924 7185726155 10060016617 14371452310 20120033234 28742904620 40240066468 50300083085 100600166170 201200332340