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1030103120 = 24579389419
BaseRepresentation
bin111101011001100…
…010000001010000
32122210022122211102
4331121202001100
54102201244440
6250114403532
734345506044
oct7531420120
92583278742
101030103120
114895147a2
12248b905a8
1313554a097
149ab46024
156067ab15
hex3d662050

1030103120 has 80 divisors (see below), whose sum is σ = 2437344000. Its totient is φ = 404811264.

The previous prime is 1030103111. The next prime is 1030103149. The reversal of 1030103120 is 213010301.

1030103120 is digitally balanced in base 6, 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 (80).

It is a super-2 number, since 2×10301031202 = 2122224875667468800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2458271 + ... + 2458689.

It is an arithmetic number, because the mean of its divisors is an integer number (30466800).

Almost surely, 21030103120 is an apocalyptic number.

1030103120 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 1030103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672000).

1030103120 is an abundant number, since it is smaller than the sum of its proper divisors (1407240880).

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

1030103120 is a wasteful number, since it uses less digits than its factorization.

1030103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1030103120 is about 32095.2195817383. The cubic root of 1030103120 is about 1009.9353355326.

Adding to 1030103120 its reverse (213010301), we get a palindrome (1243113421).

The spelling of 1030103120 in words is "one billion, thirty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 389 395 419 632 778 790 838 1264 1556 1580 1676 1945 2095 3112 3160 3352 3890 4190 6224 6320 6704 7780 8380 15560 16760 30731 31120 33101 33520 61462 66202 122924 132404 153655 162991 165505 245848 264808 307310 325982 331010 491696 529616 614620 651964 662020 814955 1229240 1303928 1324040 1629910 2458480 2607856 2648080 3259820 6519640 12876289 13039280 25752578 51505156 64381445 103010312 128762890 206020624 257525780 515051560 1030103120