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1020403300 = 225276721757
BaseRepresentation
bin111100110100100…
…001111001100100
32122010001212011211
4330310201321210
54042210401200
6245130441204
734200166510
oct7464417144
92563055154
101020403300
11483a9a114
12245893204
13133532047
149973d140
155e8b1aba
hex3cd21e64

1020403300 has 72 divisors (see below), whose sum is σ = 2568488384. Its totient is φ = 344615040.

The previous prime is 1020403297. The next prime is 1020403301. The reversal of 1020403300 is 33040201.

1020403300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1020403301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36022 + ... + 57778.

Almost surely, 21020403300 is an apocalyptic number.

1020403300 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 1020403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284244192).

1020403300 is an abundant number, since it is smaller than the sum of its proper divisors (1548085084).

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

1020403300 is a wasteful number, since it uses less digits than its factorization.

1020403300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21845 (or 21838 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1020403300 is about 31943.7521277636. The cubic root of 1020403300 is about 1006.7553623198.

Adding to 1020403300 its reverse (33040201), we get a palindrome (1053443501).

The spelling of 1020403300 in words is "one billion, twenty million, four hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 670 700 938 1340 1675 1876 2345 3350 4690 6700 9380 11725 21757 23450 43514 46900 87028 108785 152299 217570 304598 435140 543925 609196 761495 1087850 1457719 1522990 2175700 2915438 3045980 3807475 5830876 7288595 7614950 10204033 14577190 15229900 20408066 29154380 36442975 40816132 51020165 72885950 102040330 145771900 204080660 255100825 510201650 1020403300