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4020103000 = 235353101751
BaseRepresentation
bin1110111110011101…
…1110011101011000
3101101011112101120201
43233213132131120
531213121244000
61502524431544
7201423211624
oct35747363530
911334471521
104020103000
111783274981
129423a85b4
134c0b3c994
142a1ca8184
15187de696a
hexef9de758

4020103000 has 128 divisors (see below), whose sum is σ = 9692317440. Its totient is φ = 1560000000.

The previous prime is 4020102967. The next prime is 4020103039. The reversal of 4020103000 is 3010204.

It is a super-2 number, since 2×40201030002 = 32322456261218000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5352625 + ... + 5353375.

It is an arithmetic number, because the mean of its divisors is an integer number (75721230).

Almost surely, 24020103000 is an apocalyptic number.

4020103000 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 4020103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846158720).

4020103000 is an abundant number, since it is smaller than the sum of its proper divisors (5672214440).

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

4020103000 is a wasteful number, since it uses less digits than its factorization.

4020103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 4020103000 is about 63404.2821897701. The cubic root of 4020103000 is about 1590.0559029960.

Adding to 4020103000 its reverse (3010204), we get a palindrome (4023113204).

The spelling of 4020103000 in words is "four billion, twenty million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 101 106 125 200 202 212 250 265 404 424 500 505 530 751 808 1000 1010 1060 1325 1502 2020 2120 2525 2650 3004 3755 4040 5050 5300 5353 6008 6625 7510 10100 10600 10706 12625 13250 15020 18775 20200 21412 25250 26500 26765 30040 37550 39803 42824 50500 53000 53530 75100 75851 79606 93875 101000 107060 133825 150200 151702 159212 187750 199015 214120 267650 303404 318424 375500 379255 398030 535300 606808 669125 751000 758510 796060 995075 1070600 1338250 1517020 1592120 1896275 1990150 2676500 3034040 3792550 3980300 4020103 4975375 5353000 7585100 7960600 8040206 9481375 9950750 15170200 16080412 18962750 19901500 20100515 32160824 37925500 39803000 40201030 75851000 80402060 100502575 160804120 201005150 402010300 502512875 804020600 1005025750 2010051500 4020103000