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31011330300 = 22352177185643
BaseRepresentation
bin11100111000011010…
…110101100011111100
32222001020021210201220
4130320122311203330
51002002400032200
622125120233340
72145326646456
oct347032654374
988036253656
1031011330300
11121740a64a5
12601576b850
132c02a6b4b2
1417028a52d6
15c177e74a0
hex7386b58fc

31011330300 has 144 divisors (see below), whose sum is σ = 96343333632. Its totient is φ = 7673523200.

The previous prime is 31011330299. The next prime is 31011330323. The reversal of 31011330300 is 303311013.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31011330300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319279 + ... + 404921.

It is an arithmetic number, because the mean of its divisors is an integer number (669050928).

Almost surely, 231011330300 is an apocalyptic number.

31011330300 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 31011330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48171666816).

31011330300 is an abundant number, since it is smaller than the sum of its proper divisors (65332003332).

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

31011330300 is a wasteful number, since it uses less digits than its factorization.

31011330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85748 (or 85741 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 31011330300 its reverse (303311013), we get a palindrome (31314641313).

The spelling of 31011330300 in words is "thirty-one billion, eleven million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 71 75 85 100 102 142 150 170 204 213 255 284 300 340 355 425 426 510 710 850 852 1020 1065 1207 1275 1420 1700 1775 2130 2414 2550 3550 3621 4260 4828 5100 5325 6035 7100 7242 10650 12070 14484 18105 21300 24140 30175 36210 60350 72420 85643 90525 120700 171286 181050 256929 342572 362100 428215 513858 856430 1027716 1284645 1455931 1712860 2141075 2569290 2911862 4282150 4367793 5138580 5823724 6080653 6423225 7279655 8564300 8735586 12161306 12846450 14559310 17471172 18241959 21838965 24322612 25692900 29118620 30403265 36398275 36483918 43677930 60806530 72796550 72967836 87355860 91209795 103371101 109194825 121613060 145593100 152016325 182419590 206742202 218389650 304032650 310113303 364839180 413484404 436779300 456048975 516855505 608065300 620226606 912097950 1033711010 1240453212 1550566515 1824195900 2067422020 2584277525 3101133030 5168555050 6202266060 7752832575 10337110100 15505665150 31011330300