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1022313120 = 25352129819
BaseRepresentation
bin111100111011110…
…100001010100000
32122020122212221220
4330323310022200
54043203004440
6245235415040
734222342503
oct7473641240
92566585856
101022313120
11485083a84
12246454480
13133a5040a
1499ab913a
155eb3c8d0
hex3cef42a0

1022313120 has 48 divisors (see below), whose sum is σ = 3220287840. Its totient is φ = 272616704.

The previous prime is 1022313109. The next prime is 1022313137. The reversal of 1022313120 is 213132201.

1022313120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1022313120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064430 + ... + 1065389.

It is an arithmetic number, because the mean of its divisors is an integer number (67089330).

Almost surely, 21022313120 is an apocalyptic number.

1022313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022313120 is an abundant number, since it is smaller than the sum of its proper divisors (2197974720).

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

1022313120 is a wasteful number, since it uses less digits than its factorization.

1022313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129837 (or 2129829 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1022313120 is about 31973.6316360841. The cubic root of 1022313120 is about 1007.3830628996.

Adding to 1022313120 its reverse (213132201), we get a palindrome (1235445321).

The spelling of 1022313120 in words is "one billion, twenty-two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2129819 4259638 6389457 8519276 10649095 12778914 17038552 21298190 25557828 31947285 34077104 42596380 51115656 63894570 68154208 85192760 102231312 127789140 170385520 204462624 255578280 340771040 511156560 1022313120