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4100238020 = 2251201170701
BaseRepresentation
bin1111010001100100…
…1010101011000100
3101120202022200011102
43310121022223010
531344130104040
61514510155232
7203415306464
oct36431125304
911522280142
104100238020
11181452856a
129651b2b18
13504619658
142ac7a7ba4
1518ee75515
hexf464aac4

4100238020 has 24 divisors (see below), whose sum is σ = 8617719768. Its totient is φ = 1638720000.

The previous prime is 4100237987. The next prime is 4100238073. The reversal of 4100238020 is 208320014.

It can be written as a sum of positive squares in 4 ways, for example, as 192487876 + 3907750144 = 13874^2 + 62512^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4100237983 and 4100238001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61331 + ... + 109370.

It is an arithmetic number, because the mean of its divisors is an integer number (359071657).

Almost surely, 24100238020 is an apocalyptic number.

It is an amenable number.

4100238020 is an abundant number, since it is smaller than the sum of its proper divisors (4517481748).

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

4100238020 is a wasteful number, since it uses less digits than its factorization.

4100238020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171911 (or 171909 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4100238020 is about 64033.1009712945. The cubic root of 4100238020 is about 1600.5516353105.

Adding to 4100238020 its reverse (208320014), we get a palindrome (4308558034).

The spelling of 4100238020 in words is "four billion, one hundred million, two hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 1201 2402 4804 6005 12010 24020 170701 341402 682804 853505 1707010 3414020 205011901 410023802 820047604 1025059505 2050119010 4100238020