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31234112220300 = 223521115162681341
BaseRepresentation
bin1110001101000010000100…
…01010011110110010001100
311002120221200222120012121020
413012201002022132302030
513043214430212022200
6150232430355034140
76402406263234453
oct706410212366214
9132527628505536
1031234112220300
119a52349093150
123605468b9b950
1314574970425a2
1479da4c125b9a
1539270e62dea0
hex1c684229ec8c

31234112220300 has 144 divisors (see below), whose sum is σ = 99239106457344. Its totient is φ = 7521760800000.

The previous prime is 31234112220281. The next prime is 31234112220301. The reversal of 31234112220300 is 302221143213.

It is not an unprimeable number, because it can be changed into a prime (31234112220301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30842371 + ... + 31838970.

Almost surely, 231234112220300 is an apocalyptic number.

31234112220300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31234112220300 is an abundant number, since it is smaller than the sum of its proper divisors (68004994237044).

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

31234112220300 is a wasteful number, since it uses less digits than its factorization.

31234112220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62681520 (or 62681513 counting only the distinct ones).

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

Adding to 31234112220300 its reverse (302221143213), we get a palindrome (31536333363513).

The spelling of 31234112220300 in words is "thirty-one trillion, two hundred thirty-four billion, one hundred twelve million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 151 165 220 275 300 302 330 453 550 604 660 755 825 906 1100 1510 1650 1661 1812 2265 3020 3300 3322 3775 4530 4983 6644 7550 8305 9060 9966 11325 15100 16610 19932 22650 24915 33220 41525 45300 49830 83050 99660 124575 166100 249150 498300 62681341 125362682 188044023 250725364 313406705 376088046 626813410 689494751 752176092 940220115 1253626820 1378989502 1567033525 1880440230 2068484253 2757979004 3134067050 3447473755 3760880460 4136968506 4701100575 6268134100 6894947510 8273937012 9402201150 9464882491 10342421265 13789895020 17237368775 18804402300 18929764982 20684842530 28394647473 34474737550 37859529964 41369685060 47324412455 51712106325 56789294946 68949475100 94648824910 103424212650 104113707401 113578589892 141973237365 189297649820 206848425300 208227414802 236622062275 283946474730 312341122203 416454829604 473244124550 520568537005 567892949460 624682244406 709866186825 946488249100 1041137074010 1249364488812 1419732373650 1561705611015 2082274148020 2602842685025 2839464747300 3123411222030 5205685370050 6246822444060 7808528055075 10411370740100 15617056110150 31234112220300