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4202241002001 = 327264811470281
BaseRepresentation
bin111101001001101001000…
…101010000101000010001
3112212201201101211002020200
4331021221011100220101
51022322142144031001
612534252144325413
7612413310106500
oct75115105205021
915781641732220
104202241002001
111380184547839
1257a50a013869
132463674a3ba3
14107564cd2837
157449b04a086
hex3d269150a11

4202241002001 has 36 divisors (see below), whose sum is σ = 7062002631684. Its totient is φ = 2400908428800.

The previous prime is 4202241001999. The next prime is 4202241002027. The reversal of 4202241002001 is 1002001422024.

4202241002001 is a `hidden beast` number, since 420 + 2 + 2 + 41 + 0 + 0 + 200 + 1 = 666.

4202241002001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1976341118976 + 2225899883025 = 1405824^2 + 1491945^2 .

It is not a de Polignac number, because 4202241002001 - 21 = 4202241001999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4202241002041) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2122981 + ... + 3593261.

It is an arithmetic number, because the mean of its divisors is an integer number (196166739769).

Almost surely, 24202241002001 is an apocalyptic number.

It is an amenable number.

4202241002001 is a deficient number, since it is larger than the sum of its proper divisors (2859761629683).

4202241002001 is a wasteful number, since it uses less digits than its factorization.

4202241002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476782 (or 1476772 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 4202241002001 its reverse (1002001422024), we get a palindrome (5204242424025).

The spelling of 4202241002001 in words is "four trillion, two hundred two billion, two hundred forty-one million, two thousand, one".

Divisors: 1 3 7 9 21 49 63 147 441 6481 19443 45367 58329 136101 317569 408303 952707 1470281 2858121 4410843 10291967 13232529 30875901 72043769 92627703 216131307 648393921 9528891161 28586673483 66702238127 85760020449 200106714381 466915666889 600320143143 1400747000667 4202241002001