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231002001 = 321714910133
BaseRepresentation
bin11011100010011…
…00111110010001
3121002200010011200
431301030332101
5433114031001
634531101413
75503325136
oct1561147621
9532603150
10231002001
1110943824a
1265441869
1338b20399
142297258d
1515430086
hexdc4cf91

231002001 has 24 divisors (see below), whose sum is σ = 355703400. Its totient is φ = 143955456.

The previous prime is 231001963. The next prime is 231002027. The reversal of 231002001 is 100200132.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50126400 + 180875601 = 7080^2 + 13449^2 .

It is not a de Polignac number, because 231002001 - 217 = 230870929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (231002071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17731 + ... + 27863.

It is an arithmetic number, because the mean of its divisors is an integer number (14820975).

Almost surely, 2231002001 is an apocalyptic number.

It is an amenable number.

231002001 is a deficient number, since it is larger than the sum of its proper divisors (124701399).

231002001 is a wasteful number, since it uses less digits than its factorization.

231002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10302 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 231002001 is about 15198.7499814952. The cubic root of 231002001 is about 613.5810156379.

Adding to 231002001 its reverse (100200132), we get a palindrome (331202133).

The spelling of 231002001 in words is "two hundred thirty-one million, two thousand, one".

Divisors: 1 3 9 17 51 149 153 447 1341 2533 7599 10133 22797 30399 91197 172261 516783 1509817 1550349 4529451 13588353 25666889 77000667 231002001