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3331144401 = 313312755289
BaseRepresentation
bin1100011010001101…
…0011101011010001
322121011010200001120
43012203103223101
523310233110101
61310313552453
7145356155154
oct30643235321
98534120046
103331144401
11145a387102
1278b715729
13411198180
142385a5c9b
151476a5b36
hexc68d3ad1

3331144401 has 16 divisors (see below), whose sum is σ = 4937479680. Its totient is φ = 1983807360.

The previous prime is 3331144367. The next prime is 3331144403. The reversal of 3331144401 is 1044411333.

3331144401 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3331144401 - 26 = 3331144337 is a prime.

It is a super-2 number, since 2×33311444012 = 22193046040627297602, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3331144403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1376436 + ... + 1378853.

It is an arithmetic number, because the mean of its divisors is an integer number (308592480).

Almost surely, 23331144401 is an apocalyptic number.

3331144401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3331144401 is a deficient number, since it is larger than the sum of its proper divisors (1606335279).

3331144401 is a wasteful number, since it uses less digits than its factorization.

3331144401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755336.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3331144401 is about 57716.0670957403. The cubic root of 3331144401 is about 1493.4745275269.

Adding to 3331144401 its reverse (1044411333), we get a palindrome (4375555734).

The spelling of 3331144401 in words is "three billion, three hundred thirty-one million, one hundred forty-four thousand, four hundred one".

Divisors: 1 3 13 31 39 93 403 1209 2755289 8265867 35818757 85413959 107456271 256241877 1110381467 3331144401