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4235140100 = 2252411032961
BaseRepresentation
bin1111110001101111…
…0001110000000100
3101221011011102000202
43330123301300010
532133143440400
61540125430032
7206644045142
oct37433616004
911834142022
104235140100
111883698494
129a240b318
13526560479
142c2682592
1519bc214d5
hexfc6f1c04

4235140100 has 36 divisors (see below), whose sum is σ = 9414415668. Its totient is φ = 1652736000.

The previous prime is 4235140097. The next prime is 4235140103. The reversal of 4235140100 is 10415324.

4235140100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4235140097) and next prime (4235140103).

It can be written as a sum of positive squares in 6 ways, for example, as 575616064 + 3659524036 = 23992^2 + 60494^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4235140103) 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, 512381 + ... + 520580.

Almost surely, 24235140100 is an apocalyptic number.

It is an amenable number.

4235140100 is an abundant number, since it is smaller than the sum of its proper divisors (5179275568).

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

4235140100 is a wasteful number, since it uses less digits than its factorization.

4235140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033016 (or 1033009 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4235140100 is about 65077.9540243852. The cubic root of 4235140100 is about 1617.9158409005.

Adding to 4235140100 its reverse (10415324), we get a palindrome (4245555424).

The spelling of 4235140100 in words is "four billion, two hundred thirty-five million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 1032961 2065922 4131844 5164805 10329610 20659220 25824025 42351401 51648050 84702802 103296100 169405604 211757005 423514010 847028020 1058785025 2117570050 4235140100