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1003102320 = 243511379963
BaseRepresentation
bin111011110010100…
…010000001110000
32120220111212200210
4323302202001300
54023243233240
6243311544120
733600141363
oct7362420160
92526455623
101003102320
11475252690
1223bb2b040
1312ca8528c
14973180da
155d0e5780
hex3bca2070

1003102320 has 80 divisors (see below), whose sum is σ = 3392318592. Its totient is φ = 243175680.

The previous prime is 1003102313. The next prime is 1003102333. The reversal of 1003102320 is 232013001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1003102296 and 1003102305.

It is a congruent 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, 187342 + ... + 192621.

Almost surely, 21003102320 is an apocalyptic number.

1003102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003102320 is an abundant number, since it is smaller than the sum of its proper divisors (2389216272).

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

1003102320 is a wasteful number, since it uses less digits than its factorization.

1003102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379990 (or 379984 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1003102320 is about 31671.7906029956. The cubic root of 1003102320 is about 1001.0330391293.

Adding to 1003102320 its reverse (232013001), we get a palindrome (1235115321).

The spelling of 1003102320 in words is "one billion, three million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 379963 759926 1139889 1519852 1899815 2279778 3039704 3799630 4179593 4559556 5699445 6079408 7599260 8359186 9119112 11398890 12538779 15198520 16718372 18238224 20897965 22797780 25077558 30397040 33436744 41795930 45595560 50155116 62693895 66873488 83591860 91191120 100310232 125387790 167183720 200620464 250775580 334367440 501551160 1003102320