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1020313320 = 233513654047
BaseRepresentation
bin111100110100001…
…011111011101000
32122002220021202020
4330310023323220
54042200011240
6245124504440
734166343255
oct7464137350
92562807666
101020313320
11483a38554
1224584b120
131335000c0
149971842c
155e8950d0
hex3cd0bee8

1020313320 has 64 divisors (see below), whose sum is σ = 3296401920. Its totient is φ = 251153664.

The previous prime is 1020313313. The next prime is 1020313337. The reversal of 1020313320 is 233130201.

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 1020313320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325464 + ... + 328583.

It is an arithmetic number, because the mean of its divisors is an integer number (51506280).

Almost surely, 21020313320 is an apocalyptic number.

1020313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020313320 is an abundant number, since it is smaller than the sum of its proper divisors (2276088600).

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

1020313320 is a wasteful number, since it uses less digits than its factorization.

1020313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654074 (or 654070 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1020313320 is about 31942.3436835809. The cubic root of 1020313320 is about 1006.7257692787.

Adding to 1020313320 its reverse (233130201), we get a palindrome (1253443521).

The spelling of 1020313320 in words is "one billion, twenty million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 654047 1308094 1962141 2616188 3270235 3924282 5232376 6540470 7848564 8502611 9810705 13080940 15697128 17005222 19621410 25507833 26161880 34010444 39242820 42513055 51015666 68020888 78485640 85026110 102031332 127539165 170052220 204062664 255078330 340104440 510156660 1020313320