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31131000300 = 223521918472957
BaseRepresentation
bin11100111111100011…
…010101110111101100
32222100120110200010010
4130333203111313230
51002224014002200
622145033213220
72151312064551
oct347743256754
988316420103
1031131000300
1112225702324
126049861210
132c217ab14a
141714736a28
15c23085150
hex73f8d5dec

31131000300 has 144 divisors (see below), whose sum is σ = 94896426240. Its totient is φ = 7857757440.

The previous prime is 31131000283. The next prime is 31131000343. The reversal of 31131000300 is 300013113.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10526422 + ... + 10529378.

It is an arithmetic number, because the mean of its divisors is an integer number (659002960).

Almost surely, 231131000300 is an apocalyptic number.

31131000300 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 31131000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47448213120).

31131000300 is an abundant number, since it is smaller than the sum of its proper divisors (63765425940).

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

31131000300 is a wasteful number, since it uses less digits than its factorization.

31131000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4833 counting only the distinct ones).

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

Adding to 31131000300 its reverse (300013113), we get a palindrome (31431013413).

The spelling of 31131000300 in words is "thirty-one billion, one hundred thirty-one million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1847 1900 2850 2957 3694 5541 5700 5914 7388 8871 9235 11082 11828 14785 17742 18470 22164 27705 29570 35093 35484 36940 44355 46175 55410 56183 59140 70186 73925 88710 92350 105279 110820 112366 138525 140372 147850 168549 175465 177420 184700 210558 221775 224732 277050 280915 295700 337098 350930 421116 443550 526395 554100 561830 674196 701860 842745 877325 887100 1052790 1123660 1404575 1685490 1754650 2105580 2631975 2809150 3370980 3509300 4213725 5263950 5461579 5618300 8427450 10527900 10923158 16384737 16854900 21846316 27307895 32769474 54615790 65538948 81923685 103770001 109231580 136539475 163847370 207540002 273078950 311310003 327694740 409618425 415080004 518850005 546157900 622620006 819236850 1037700010 1245240012 1556550015 1638473700 2075400020 2594250025 3113100030 5188500050 6226200060 7782750075 10377000100 15565500150 31131000300