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31143310000 = 245411283121
BaseRepresentation
bin11101000000010010…
…010011001010110000
32222101102122001211221
4131000102103022300
51002240141410000
622150153114424
72151521524105
oct350022231260
988342561757
1031143310000
111223164a830
1260519b8a14
132c241cb0aa
14171621caac
15c241b761a
hex7404932b0

31143310000 has 100 divisors (see below), whose sum is σ = 82256000904. Its totient is φ = 11324800000.

The previous prime is 31143309971. The next prime is 31143310027. The reversal of 31143310000 is 1334113.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×311433100002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31561 + ... + 251560.

Almost surely, 231143310000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31143310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41128000452).

31143310000 is an abundant number, since it is smaller than the sum of its proper divisors (51112690904).

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

31143310000 is a wasteful number, since it uses less digits than its factorization.

31143310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283160 (or 283139 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31143310000 its reverse (1334113), we get a palindrome (31144644113).

It can be divided in two parts, 31143 and 310000, that added together give a palindrome (341143).

The spelling of 31143310000 in words is "thirty-one billion, one hundred forty-three million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 283121 566242 1132484 1415605 2264968 2831210 3114331 4529936 5662420 6228662 7078025 11324840 12457324 14156050 15571655 22649680 24914648 28312100 31143310 35390125 49829296 56624200 62286620 70780250 77858275 113248400 124573240 141560500 155716550 176950625 249146480 283121000 311433100 353901250 389291375 566242000 622866200 707802500 778582750 1245732400 1415605000 1557165500 1946456875 2831210000 3114331000 3892913750 6228662000 7785827500 15571655000 31143310000