Search a number
-
+
201310220320 = 25511209954493
BaseRepresentation
bin1011101101111100000…
…1100011000000100000
3201020121122200202212221
42323133001203000200
511244240404022240
6232251452400424
720354440432216
oct2733701430040
9636548622787
10201310220320
117841440a110
1233022476114
1315ca28c5081
149a5a102cb6
1553834d2a4a
hex2edf063020

201310220320 has 96 divisors (see below), whose sum is σ = 519088046400. Its totient is φ = 73167498240.

The previous prime is 201310220311. The next prime is 201310220329. The reversal of 201310220320 is 23022013102.

It is an interprime number because it is at equal distance from previous prime (201310220311) and next prime (201310220329).

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 = 201310220294 and 201310220303.

It is not an unprimeable number, because it can be changed into a prime (201310220329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3666994 + ... + 3721486.

It is an arithmetic number, because the mean of its divisors is an integer number (5407167150).

Almost surely, 2201310220320 is an apocalyptic number.

201310220320 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 201310220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259544023200).

201310220320 is an abundant number, since it is smaller than the sum of its proper divisors (317777826080).

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

201310220320 is a wasteful number, since it uses less digits than its factorization.

201310220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56618 (or 56610 counting only the distinct ones).

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

Adding to 201310220320 its reverse (23022013102), we get a palindrome (224332233422).

The spelling of 201310220320 in words is "two hundred one billion, three hundred ten million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2099 4198 8396 10495 16792 20990 23089 33584 41980 46178 54493 67168 83960 92356 108986 115445 167920 184712 217972 230890 272465 335840 369424 435944 461780 544930 599423 738848 871888 923560 1089860 1198846 1743776 1847120 2179720 2397692 2997115 3694240 4359440 4795384 5994230 8718880 9590768 11988460 19181536 23976920 47953840 95907680 114380807 228761614 457523228 571904035 915046456 1143808070 1258188877 1830092912 2287616140 2516377754 3660185824 4575232280 5032755508 6290944385 9150464560 10065511016 12581888770 18300929120 20131022032 25163777540 40262044064 50327555080 100655110160 201310220320