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3132412214331 = 331273112333157
BaseRepresentation
bin101101100101010010010…
…100010011110000111011
3102002110022012012201001110
4231211102110103300323
5402310140011324311
610355002120451403
7442211044336221
oct55452224236073
912073265181043
103132412214331
11aa84a3040174
124270ba619b63
131995013a8a9a
14ab8768c0b11
15567342428a6
hex2d952513c3b

3132412214331 has 16 divisors (see below), whose sum is σ = 4312856019968. Its totient is φ = 2020170952800.

The previous prime is 3132412214329. The next prime is 3132412214363. The reversal of 3132412214331 is 1334122142313.

3132412214331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3132412214331 - 21 = 3132412214329 is a prime.

It is a super-3 number, since 3×31324122143313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3132410214331) 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, 5912596 + ... + 6420561.

It is an arithmetic number, because the mean of its divisors is an integer number (269553501248).

Almost surely, 23132412214331 is an apocalyptic number.

3132412214331 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3132412214331 is a deficient number, since it is larger than the sum of its proper divisors (1180443805637).

3132412214331 is a wasteful number, since it uses less digits than its factorization.

3132412214331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335922.

The product of its digits is 10368, while the sum is 30.

Adding to 3132412214331 its reverse (1334122142313), we get a palindrome (4466534356644).

The spelling of 3132412214331 in words is "three trillion, one hundred thirty-two billion, four hundred twelve million, two hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 31 93 2731 8193 84661 253983 12333157 36999471 382327867 1146983601 33681851767 101045555301 1044137404777 3132412214331