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4133130000 = 24354137771
BaseRepresentation
bin1111011001011010…
…1000111100010000
3101200001012202110220
43312112220330100
531431040130000
61522043153040
7204265011456
oct36626507420
911601182426
104133130000
11183105381a
12974215780
1350b394a6c
142b2cca9d6
15192cc11a0
hexf65a8f10

4133130000 has 100 divisors (see below), whose sum is σ = 13342391568. Its totient is φ = 1102160000.

The previous prime is 4133129999. The next prime is 4133130011. The reversal of 4133130000 is 313314.

4133130000 is digitally balanced in base 2 and base 4, because in such bases 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 (100).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38886 + ... + 98885.

Almost surely, 24133130000 is an apocalyptic number.

4133130000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4133130000 is an abundant number, since it is smaller than the sum of its proper divisors (9209261568).

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

4133130000 is a wasteful number, since it uses less digits than its factorization.

4133130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137802 (or 137781 counting only the distinct ones).

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

The square root of 4133130000 is about 64289.4237025034. The cubic root of 4133130000 is about 1604.8200999826.

Adding to 4133130000 its reverse (313314), we get a palindrome (4133443314).

The spelling of 4133130000 in words is "four billion, one hundred thirty-three million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 137771 275542 413313 551084 688855 826626 1102168 1377710 1653252 2066565 2204336 2755420 3306504 3444275 4133130 5510840 6613008 6888550 8266260 10332825 11021680 13777100 16532520 17221375 20665650 27554200 33065040 34442750 41331300 51664125 55108400 68885500 82662600 86106875 103328250 137771000 165325200 172213750 206656500 258320625 275542000 344427500 413313000 516641250 688855000 826626000 1033282500 1377710000 2066565000 4133130000