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4103002120 = 2357191814261
BaseRepresentation
bin1111010010001110…
…1101100000001000
3101120221112002210111
43310203231200020
531400332031440
61515045324104
7203450641210
oct36443554010
911527462714
104103002120
111816046248
12966106634
13505076809
142accc7240
1519031e4ea
hexf48ed808

4103002120 has 128 divisors (see below), whose sum is σ = 11169849600. Its totient is φ = 1325030400.

The previous prime is 4103002093. The next prime is 4103002121. The reversal of 4103002120 is 212003014.

It is a self number, because there is not a number n which added to its sum of digits gives 4103002120.

It is not an unprimeable number, because it can be changed into a prime (4103002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960790 + ... + 965050.

It is an arithmetic number, because the mean of its divisors is an integer number (87264450).

Almost surely, 24103002120 is an apocalyptic number.

4103002120 is a gapful number since it is divisible by the number (40) 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 4103002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584924800).

4103002120 is an abundant number, since it is smaller than the sum of its proper divisors (7066847480).

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

4103002120 is a wasteful number, since it uses less digits than its factorization.

4103002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4103002120 is about 64054.6807032866. The cubic root of 4103002120 is about 1600.9112153306.

Adding to 4103002120 its reverse (212003014), we get a palindrome (4315005134).

The spelling of 4103002120 in words is "four billion, one hundred three million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 181 190 266 280 362 380 532 665 724 760 905 1064 1267 1330 1448 1810 2534 2660 3439 3620 4261 5068 5320 6335 6878 7240 8522 10136 12670 13756 17044 17195 21305 24073 25340 27512 29827 34088 34390 42610 48146 50680 59654 68780 80959 85220 96292 119308 120365 137560 149135 161918 170440 192584 238616 240730 298270 323836 404795 481460 566713 596540 647672 771241 809590 962920 1133426 1193080 1542482 1619180 2266852 2833565 3084964 3238360 3856205 4533704 5398687 5667130 6169928 7712410 10797374 11334260 14653579 15424820 21594748 22668520 26993435 29307158 30849640 43189496 53986870 58614316 73267895 102575053 107973740 117228632 146535790 205150106 215947480 293071580 410300212 512875265 586143160 820600424 1025750530 2051501060 4103002120