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331130331301200 = 243521453189911867
BaseRepresentation
bin100101101001010010100100…
…1110001011000010101010000
31121102102202021010101212020220
41023102211021301120111100
5321400214404303114300
63132131101342033040
7126514243203540354
oct11322451161302520
91542382233355226
10331130331301200
1196565648519042
123117b339b78780
131129c5c1521522
145baab176d5464
1528436d6d55da0
hex12d2949c58550

331130331301200 has 120 divisors (see below), whose sum is σ = 1061450854740768. Its totient is φ = 88240649418240.

The previous prime is 331130331301181. The next prime is 331130331301207. The reversal of 331130331301200 is 2103133031133.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331130331301207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93212334 + ... + 96699533.

Almost surely, 2331130331301200 is an apocalyptic number.

331130331301200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331130331301200 is an abundant number, since it is smaller than the sum of its proper divisors (730320523439568).

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

331130331301200 is a wasteful number, since it uses less digits than its factorization.

331130331301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189913341 (or 189913330 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 331130331301200 its reverse (2103133031133), we get a palindrome (333233464332333).

The spelling of 331130331301200 in words is "three hundred thirty-one trillion, one hundred thirty billion, three hundred thirty-one million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1453 2906 4359 5812 7265 8718 11624 14530 17436 21795 23248 29060 34872 36325 43590 58120 69744 72650 87180 108975 116240 145300 174360 217950 290600 348720 435900 581200 871800 1743600 189911867 379823734 569735601 759647468 949559335 1139471202 1519294936 1899118670 2278942404 2848678005 3038589872 3798237340 4557884808 4747796675 5697356010 7596474680 9115769616 9495593350 11394712020 14243390025 15192949360 18991186700 22789424040 28486780050 37982373400 45578848080 56973560100 75964746800 113947120200 227894240400 275941942751 551883885502 827825828253 1103767771004 1379709713755 1655651656506 2207535542008 2759419427510 3311303313012 4139129141265 4415071084016 5518838855020 6622606626024 6898548568775 8278258282530 11037677710040 13245213252048 13797097137550 16556516565060 20695645706325 22075355420080 27594194275100 33113033130120 41391291412650 55188388550200 66226066260240 82782582825300 110376777100400 165565165650600 331130331301200