Search a number
-
+
210131202213120 = 2835118974599619
BaseRepresentation
bin101111110001110011111011…
…101010100000010100000000
31000120000100100202222022101110
4233301303323222200110000
5210020242200231304440
62022524535221203320
762155323036253026
oct5761637352402400
91016010322868343
10210131202213120
1160a551625a3a61
121b698a02560540
1390333973a9826
1439c6593b66716
151945edc66c080
hexbf1cfbaa0500

210131202213120 has 144 divisors (see below), whose sum is σ = 671163082712640. Its totient is φ = 56030265065472.

The previous prime is 210131202213103. The next prime is 210131202213167. The reversal of 210131202213120 is 21312202131012.

It is a super-2 number, since 2×2101312022131202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 43384671 + ... + 47984289.

It is an arithmetic number, because the mean of its divisors is an integer number (4660854741060).

Almost surely, 2210131202213120 is an apocalyptic number.

210131202213120 is a gapful number since it is divisible by the number (20) 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 210131202213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335581541356320).

210131202213120 is an abundant number, since it is smaller than the sum of its proper divisors (461031880499520).

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

210131202213120 is a wasteful number, since it uses less digits than its factorization.

210131202213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611540 (or 4611526 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 210131202213120 its reverse (21312202131012), we get a palindrome (231443404344132).

The spelling of 210131202213120 in words is "two hundred ten trillion, one hundred thirty-one billion, two hundred two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 11897 23794 35691 47588 59485 71382 95176 118970 142764 178455 190352 237940 285528 356910 380704 475880 571056 713820 761408 951760 1142112 1427640 1522816 1903520 2284224 2855280 3045632 3807040 4568448 4599619 5710560 7614080 9136896 9199238 11421120 13798857 15228160 18398476 22842240 22998095 27597714 36796952 45684480 45996190 55195428 68994285 73593904 91992380 110390856 137988570 147187808 183984760 220781712 275977140 294375616 367969520 441563424 551954280 588751232 735939040 883126848 1103908560 1177502464 1471878080 1766253696 2207817120 2943756160 3532507392 4415634240 5887512320 8831268480 17662536960 54721667243 109443334486 164165001729 218886668972 273608336215 328330003458 437773337944 547216672430 656660006916 820825008645 875546675888 1094433344860 1313320013832 1641650017290 1751093351776 2188866689720 2626640027664 3283300034580 3502186703552 4377733379440 5253280055328 6566600069160 7004373407104 8755466758880 10506560110656 13133200138320 14008746814208 17510933517760 21013120221312 26266400276640 35021867035520 42026240442624 52532800553280 70043734071040 105065601106560 210131202213120