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1022001320 = 235236118211
BaseRepresentation
bin111100111010101…
…000000010101000
32122020002001020202
4330322220002220
54043113020240
6245225011332
734216603454
oct7472500250
92566061222
101022001320
1148499079a
12246323b48
13133971512
1499a37664
155eaca315
hex3cea80a8

1022001320 has 64 divisors (see below), whose sum is σ = 2438951040. Its totient is φ = 384595200.

The previous prime is 1022001319. The next prime is 1022001349. The reversal of 1022001320 is 231002201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47015 + ... + 65225.

It is an arithmetic number, because the mean of its divisors is an integer number (38108610).

Almost surely, 21022001320 is an apocalyptic number.

1022001320 is a gapful number since it is divisible by the number (10) 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 1022001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219475520).

1022001320 is an abundant number, since it is smaller than the sum of its proper divisors (1416949720).

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

1022001320 is a wasteful number, since it uses less digits than its factorization.

1022001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18306 (or 18302 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1022001320 is about 31968.7553714560. The cubic root of 1022001320 is about 1007.2806370148.

Adding to 1022001320 its reverse (231002201), we get a palindrome (1253003521).

The spelling of 1022001320 in words is "one billion, twenty-two million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 244 305 460 488 610 920 1220 1403 2440 2806 5612 7015 11224 14030 18211 28060 36422 56120 72844 91055 145688 182110 364220 418853 728440 837706 1110871 1675412 2094265 2221742 3350824 4188530 4443484 5554355 8377060 8886968 11108710 16754120 22217420 25550033 44434840 51100066 102200132 127750165 204400264 255500330 511000660 1022001320