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320200315380 = 223351153905777
BaseRepresentation
bin1001010100011010110…
…11010001000111110100
31010121111022101101001000
410222031123101013310
520221232240043010
6403033100003300
732063601526161
oct4521533210764
91117438341030
10320200315380
11113883804220
1252082530530
132426bb7124a
14116d7c8d068
1584e0ce77c0
hex4a8d6d11f4

320200315380 has 96 divisors (see below), whose sum is σ = 1086740484480. Its totient is φ = 77624317440.

The previous prime is 320200315367. The next prime is 320200315381. The reversal of 320200315380 is 83513002023.

320200315380 is a `hidden beast` number, since 320 + 20 + 0 + 315 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320200315381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26946949 + ... + 26958828.

It is an arithmetic number, because the mean of its divisors is an integer number (11320213380).

Almost surely, 2320200315380 is an apocalyptic number.

320200315380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320200315380 is an abundant number, since it is smaller than the sum of its proper divisors (766540169100).

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

320200315380 is a wasteful number, since it uses less digits than its factorization.

320200315380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53905806 (or 53905798 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 320200315380 in words is "three hundred twenty billion, two hundred million, three hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 53905777 107811554 161717331 215623108 269528885 323434662 485151993 539057770 592963547 646869324 808586655 970303986 1078115540 1185927094 1455455979 1617173310 1778890641 1940607972 2371854188 2425759965 2910911958 2964817735 3234346620 3557781282 4851519930 5336671923 5821823916 5929635470 7115562564 7277279895 8894453205 9703039860 10673343846 11859270940 14554559790 16010015769 17788906410 21346687692 26683359615 29109119580 32020031538 35577812820 53366719230 64040063076 80050078845 106733438460 160100157690 320200315380