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4002242100 = 2235213340807
BaseRepresentation
bin1110111010001101…
…0101111000110100
3101022220220222000220
43232203111320310
531144033221400
61501045534340
7201115332213
oct35643257064
911286828026
104002242100
1117741857aa
129384143b0
134ba2280bc
1429d77907a
151865697a0
hexee8d5e34

4002242100 has 36 divisors (see below), whose sum is σ = 11579821344. Its totient is φ = 1067264480.

The previous prime is 4002242093. The next prime is 4002242107. The reversal of 4002242100 is 12422004.

It is an interprime number because it is at equal distance from previous prime (4002242093) and next prime (4002242107).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4002242100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002242107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6670104 + ... + 6670703.

It is an arithmetic number, because the mean of its divisors is an integer number (321661704).

Almost surely, 24002242100 is an apocalyptic number.

It is an amenable number.

4002242100 is an abundant number, since it is smaller than the sum of its proper divisors (7577579244).

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

4002242100 is a wasteful number, since it uses less digits than its factorization.

4002242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13340824 (or 13340817 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4002242100 is about 63263.2760770417. The cubic root of 4002242100 is about 1587.6975892278.

Adding to 4002242100 its reverse (12422004), we get a palindrome (4014664104).

The spelling of 4002242100 in words is "four billion, two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 13340807 26681614 40022421 53363228 66704035 80044842 133408070 160089684 200112105 266816140 333520175 400224210 667040350 800448420 1000560525 1334080700 2001121050 4002242100