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31240014323100 = 223521132327292841
BaseRepresentation
bin1110001101001101000011…
…11101001101110110011100
311002121111221022102002120020
413012212201331031312130
513043314022131314400
6150235244153352140
76403005451256322
oct706464175156634
9132544838362506
1031240014323100
119a548a7729360
123606635708650
131457bc7a529cb
147a004bd2dd12
1539295787a2a0
hex1c69a1f4dd9c

31240014323100 has 144 divisors (see below), whose sum is σ = 98608232169216. Its totient is φ = 7573076672000.

The previous prime is 31240014323057. The next prime is 31240014323131. The reversal of 31240014323100 is 132341004213.

It is a happy number.

It is a super-2 number, since 2×312400143231002 (a number of 28 digits) contains 22 as substring.

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, 106532680 + ... + 106825520.

It is an arithmetic number, because the mean of its divisors is an integer number (684779390064).

Almost surely, 231240014323100 is an apocalyptic number.

31240014323100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31240014323100 is an abundant number, since it is smaller than the sum of its proper divisors (67368217846116).

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

31240014323100 is a wasteful number, since it uses less digits than its factorization.

31240014323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325196 (or 325189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31240014323100 its reverse (132341004213), we get a palindrome (31372355327313).

The spelling of 31240014323100 in words is "thirty-one trillion, two hundred forty billion, fourteen million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 32327 64654 96981 129308 161635 193962 292841 323270 355597 387924 484905 585682 646540 711194 808175 878523 969810 1066791 1171364 1422388 1464205 1616350 1757046 1777985 1939620 2133582 2424525 2928410 3221251 3232700 3514092 3555970 4267164 4392615 4849050 5333955 5856820 6442502 7111940 7321025 8785230 8889925 9663753 9698100 10667910 12885004 14642050 16106255 17570460 17779850 19327506 21335820 21963075 26669775 29284100 32212510 35559700 38655012 43926150 48318765 53339550 64425020 80531275 87852300 96637530 106679100 161062550 193275060 241593825 322125100 483187650 966375300 9466671007 18933342014 28400013021 37866684028 47333355035 56800026042 94666710070 104133381077 113600052084 142000065105 189333420140 208266762154 236666775175 284000130210 312400143231 416533524308 473333550350 520666905385 568000260420 624800286462 710000325525 946667100700 1041333810770 1249600572924 1420000651050 1562000716155 2082667621540 2603334526925 2840001302100 3124001432310 5206669053850 6248002864620 7810003580775 10413338107700 15620007161550 31240014323100