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4104101000 = 235383197251
BaseRepresentation
bin1111010010011111…
…1001110010001000
3101121000120221011202
43310213321302020
531401122213000
61515125043332
7203463166016
oct36447716210
911530527152
104104101000
11181672690a
12966556548
1350536ca3c
142ad0d18b6
15190489dd5
hexf49f9c88

4104101000 has 128 divisors (see below), whose sum is σ = 9807557760. Its totient is φ = 1607200000.

The previous prime is 4104100999. The next prime is 4104101033. The reversal of 4104101000 is 1014014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16350875 + ... + 16351125.

It is an arithmetic number, because the mean of its divisors is an integer number (76621545).

Almost surely, 24104101000 is an apocalyptic number.

4104101000 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 4104101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903778880).

4104101000 is an abundant number, since it is smaller than the sum of its proper divisors (5703456760).

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

4104101000 is a wasteful number, since it uses less digits than its factorization.

4104101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 4104101000 is about 64063.2578003960. The cubic root of 4104101000 is about 1601.0541230712.

Adding to 4104101000 its reverse (1014014), we get a palindrome (4105115014).

The spelling of 4104101000 in words is "four billion, one hundred four million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 197 200 250 251 332 394 415 500 502 664 788 830 985 1000 1004 1255 1576 1660 1970 2008 2075 2510 3320 3940 4150 4925 5020 6275 7880 8300 9850 10040 10375 12550 16351 16600 19700 20750 20833 24625 25100 31375 32702 39400 41500 41666 49250 49447 50200 62750 65404 81755 83000 83332 98500 98894 104165 125500 130808 163510 166664 197000 197788 208330 247235 251000 327020 395576 408775 416660 494470 520825 654040 817550 833320 988940 1041650 1236175 1635100 1977880 2043875 2083300 2472350 2604125 3270200 4087750 4104101 4166600 4944700 5208250 6180875 8175500 8208202 9889400 10416500 12361750 16351000 16416404 20520505 20833000 24723500 32832808 41041010 49447000 82082020 102602525 164164040 205205050 410410100 513012625 820820200 1026025250 2052050500 4104101000