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42204324201 = 3132416772999
BaseRepresentation
bin100111010011100100…
…101110000101101001
311000221021212210211120
4213103210232011221
51142413301333301
631215521045453
73022601556654
oct472344560551
9130837783746
1042204324201
1116998271486
12821a186889
133c97969200
14208525289b
1511702a9e36
hex9d392e169

42204324201 has 48 divisors (see below), whose sum is σ = 62533296000. Its totient is φ = 25292567040.

The previous prime is 42204324193. The next prime is 42204324209. The reversal of 42204324201 is 10242340224.

42204324201 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 (42204324193) and next prime (42204324209).

It is not a de Polignac number, because 42204324201 - 23 = 42204324193 is a prime.

It is a super-2 number, since 2×422043242012 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42204324209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14071300 + ... + 14074298.

It is an arithmetic number, because the mean of its divisors is an integer number (1302777000).

Almost surely, 242204324201 is an apocalyptic number.

42204324201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42204324201 is a deficient number, since it is larger than the sum of its proper divisors (20328971799).

42204324201 is a wasteful number, since it uses less digits than its factorization.

42204324201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42204324201 its reverse (10242340224), we get a palindrome (52446664425).

The spelling of 42204324201 in words is "forty-two billion, two hundred four million, three hundred twenty-four thousand, two hundred one".

Divisors: 1 3 13 39 41 123 169 507 533 677 1599 2031 2999 6929 8801 8997 20787 26403 27757 38987 83271 114413 116961 122959 343239 360841 368877 506831 1082523 1520493 1598467 2030323 4690933 4795401 6090969 14072799 20780071 26394199 62340213 79182597 83243243 249729729 343124587 1029373761 1082162159 3246486477 14068108067 42204324201