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3130103040 = 28353112621
BaseRepresentation
bin1011101010010001…
…1001010100000000
322002010211201011020
42322210121110000
522402301244130
61234332545440
7140365302561
oct27244312400
98063751136
103130103040
111366952819
12734322280
133ab637b9c
142199d2168
15134be2e10
hexba919500

3130103040 has 144 divisors (see below), whose sum is σ = 10032736896. Its totient is φ = 831692800.

The previous prime is 3130103027. The next prime is 3130103063. The reversal of 3130103040 is 403010313.

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

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, 1192930 + ... + 1195550.

It is an arithmetic number, because the mean of its divisors is an integer number (69671784).

Almost surely, 23130103040 is an apocalyptic number.

3130103040 is a gapful number since it is divisible by the number (30) 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 3130103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016368448).

3130103040 is an abundant number, since it is smaller than the sum of its proper divisors (6902633856).

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

3130103040 is a wasteful number, since it uses less digits than its factorization.

3130103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2942 counting only the distinct ones).

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

The square root of 3130103040 is about 55947.3237965857. The cubic root of 3130103040 is about 1462.8042432275.

Adding to 3130103040 its reverse (403010313), we get a palindrome (3533113353).

The spelling of 3130103040 in words is "three billion, one hundred thirty million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 311 320 384 480 622 640 768 933 960 1244 1280 1555 1866 1920 2488 2621 3110 3732 3840 4665 4976 5242 6220 7464 7863 9330 9952 10484 12440 13105 14928 15726 18660 19904 20968 24880 26210 29856 31452 37320 39315 39808 41936 49760 52420 59712 62904 74640 78630 79616 83872 99520 104840 119424 125808 149280 157260 167744 199040 209680 238848 251616 298560 314520 335488 398080 419360 503232 597120 629040 670976 815131 838720 1006464 1194240 1258080 1630262 1677440 2012928 2445393 2516160 3260524 3354880 4075655 4890786 5032320 6521048 8151310 9781572 10064640 12226965 13042096 16302620 19563144 24453930 26084192 32605240 39126288 48907860 52168384 65210480 78252576 97815720 104336768 130420960 156505152 195631440 208673536 260841920 313010304 391262880 521683840 626020608 782525760 1043367680 1565051520 3130103040