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31344112100020 = 2251567205605001
BaseRepresentation
bin1110010000001110111101…
…01010101110001010110100
311002222110122001202001222111
413020013132222232022310
513102020220144200040
6150355141502140404
76413352213624316
oct710073652561264
9132873561661874
1031344112100020
119a94a66160955
123622847881704
1314649774c9805
147a50c52b77b6
153954eb700dea
hex1c81deaae2b4

31344112100020 has 12 divisors (see below), whose sum is σ = 65822635410084. Its totient is φ = 12537644840000.

The previous prime is 31344112100011. The next prime is 31344112100027. The reversal of 31344112100020 is 2000121144313.

It can be written as a sum of positive squares in 2 ways, for example, as 24615628879396 + 6728483220624 = 4961414^2 + 2593932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31344112099964 and 31344112100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31344112100027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 783602802481 + ... + 783602802520.

It is an arithmetic number, because the mean of its divisors is an integer number (5485219617507).

Almost surely, 231344112100020 is an apocalyptic number.

It is an amenable number.

31344112100020 is an abundant number, since it is smaller than the sum of its proper divisors (34478523310064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31344112100020 is a wasteful number, since it uses less digits than its factorization.

31344112100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567205605010 (or 1567205605008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 31344112100020 its reverse (2000121144313), we get a palindrome (33344233244333).

The spelling of 31344112100020 in words is "thirty-one trillion, three hundred forty-four billion, one hundred twelve million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 1567205605001 3134411210002 6268822420004 7836028025005 15672056050010 31344112100020