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31433120201 = 72794980701
BaseRepresentation
bin11101010001100011…
…110101100111001001
310000010121221221201002
4131101203311213021
51003333334321301
622235024504345
72161641053600
oct352143654711
9100117857632
1031433120201
11123701a449a
126112a7b0b5
132c6c26bb12
1417428dca37
15c3e86216b
hex7518f59c9

31433120201 has 12 divisors (see below), whose sum is σ = 36570111300. Its totient is φ = 26938951200.

The previous prime is 31433120183. The next prime is 31433120219. The reversal of 31433120201 is 10202133413.

It is an interprime number because it is at equal distance from previous prime (31433120183) and next prime (31433120219).

It can be written as a sum of positive squares in 2 ways, for example, as 19293487801 + 12139632400 = 138901^2 + 110180^2 .

It is a de Polignac number, because none of the positive numbers 2k-31433120201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31433120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349151 + ... + 429851.

It is an arithmetic number, because the mean of its divisors is an integer number (3047509275).

Almost surely, 231433120201 is an apocalyptic number.

It is an amenable number.

31433120201 is a deficient number, since it is larger than the sum of its proper divisors (5136991099).

31433120201 is an equidigital number, since it uses as much as digits as its factorization.

31433120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88664 (or 88657 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31433120201 its reverse (10202133413), we get a palindrome (41635253614).

The spelling of 31433120201 in words is "thirty-one billion, four hundred thirty-three million, one hundred twenty thousand, two hundred one".

Divisors: 1 7 49 7949 55643 80701 389501 564907 3954349 641492249 4490445743 31433120201