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3131234000 = 24534733311
BaseRepresentation
bin1011101010100010…
…1101011011010000
322002012222011112122
42322220231123100
522403043442000
61234413113412
7140411023046
oct27250553320
98065864478
103131234000
1113675554a4
12734788868
133ab9428ab
14219c08396
15134d68085
hexbaa2d6d0

3131234000 has 80 divisors (see below), whose sum is σ = 7732647936. Its totient is φ = 1225808000.

The previous prime is 3131233993. The next prime is 3131234059. The reversal of 3131234000 is 4321313.

It is a happy number.

3131234000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3131234000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77345 + ... + 110655.

Almost surely, 23131234000 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 3131234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866323968).

3131234000 is an abundant number, since it is smaller than the sum of its proper divisors (4601413936).

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

3131234000 is a wasteful number, since it uses less digits than its factorization.

3131234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33381 (or 33365 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3131234000 is about 55957.4302483593. The cubic root of 3131234000 is about 1462.9804007804.

Adding to 3131234000 its reverse (4321313), we get a palindrome (3135555313).

The spelling of 3131234000 in words is "three billion, one hundred thirty-one million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 33311 47000 66622 94000 133244 166555 266488 333110 532976 666220 832775 1332440 1565617 1665550 2664880 3131234 3331100 4163875 6262468 6662200 7828085 8327750 12524936 13324400 15656170 16655500 25049872 31312340 33311000 39140425 62624680 66622000 78280850 125249360 156561700 195702125 313123400 391404250 626246800 782808500 1565617000 3131234000