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3130311000 = 233533728201
BaseRepresentation
bin1011101010010100…
…1100000101011000
322002011020021102110
42322211030011120
522402324423000
61234341232320
7140400130065
oct27245140530
98064207373
103130311000
111366a84a93
127344026a0
133ab6ab73b
14219a47c6c
15134c34850
hexba94c158

3130311000 has 128 divisors (see below), whose sum is σ = 10030887360. Its totient is φ = 812160000.

The previous prime is 3130310999. The next prime is 3130311097. The reversal of 3130311000 is 1130313.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96900 + ... + 125100.

Almost surely, 23130311000 is an apocalyptic number.

3130311000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015443680).

3130311000 is an abundant number, since it is smaller than the sum of its proper divisors (6900576360).

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

3130311000 is a wasteful number, since it uses less digits than its factorization.

3130311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28262 (or 28248 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 3130311000 is about 55949.1822996547. The cubic root of 3130311000 is about 1462.8366381178.

Adding to 3130311000 its reverse (1130313), we get a palindrome (3131441313).

The spelling of 3130311000 in words is "three billion, one hundred thirty million, three hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 28201 37000 55500 56402 84603 111000 112804 141005 169206 225608 282010 338412 423015 564020 676824 705025 846030 1043437 1128040 1410050 1692060 2086874 2115075 2820100 3130311 3384120 3525125 4173748 4230150 5217185 5640200 6260622 7050250 8347496 8460300 10434370 10575375 12521244 14100500 15651555 16920600 20868740 21150750 25042488 26085925 28201000 31303110 41737480 42301500 52171850 62606220 78257775 84603000 104343700 125212440 130429625 156515550 208687400 260859250 313031100 391288875 521718500 626062200 782577750 1043437000 1565155500 3130311000