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31332421653500 = 2253112895819003
BaseRepresentation
bin1110001111111001001011…
…10111001101001111111100
311002221100110100002212011202
413013330211313031033330
513101322244420403000
6150345525451235032
76412456421520002
oct707744567151774
9132840410085152
1031332421653500
119a90007209400
123620524748a78
131463833529336
147a46d6838a72
15395065229dd5
hex1c7f25dcd3fc

31332421653500 has 144 divisors (see below), whose sum is σ = 76061597844960. Its totient is φ = 11265587872000.

The previous prime is 31332421653479. The next prime is 31332421653553. The reversal of 31332421653500 is 535612423313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2474999 + ... + 8294001.

It is an arithmetic number, because the mean of its divisors is an integer number (528205540590).

Almost surely, 231332421653500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31332421653500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38030798922480).

31332421653500 is an abundant number, since it is smaller than the sum of its proper divisors (44729176191460).

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

31332421653500 is a wasteful number, since it uses less digits than its factorization.

31332421653500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819133 (or 5819110 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

The spelling of 31332421653500 in words is "thirty-one trillion, three hundred thirty-two billion, four hundred twenty-one million, six hundred fifty-three thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 121 125 178 220 242 250 275 356 445 484 500 550 605 890 979 1100 1210 1375 1780 1958 2225 2420 2750 3025 3916 4450 4895 5500 6050 8900 9790 10769 11125 12100 15125 19580 21538 22250 24475 30250 43076 44500 48950 53845 60500 97900 107690 122375 215380 244750 269225 489500 538450 1076900 1346125 2692250 5384500 5819003 11638006 23276012 29095015 58190030 64009033 116380060 128018066 145475075 256036132 290950150 320045165 517891267 581900300 640090330 704099363 727375375 1035782534 1280180660 1408198726 1454750750 1600225825 2071565068 2589456335 2816397452 2909501500 3200451650 3520496815 5178912670 5696803937 6400903300 7040993630 8001129125 10357825340 11393607874 12947281675 14081987260 16002258250 17602484075 22787215748 25894563350 28484019685 32004516500 35204968150 51789126700 56968039370 62664843307 64736408375 70409936300 88012420375 113936078740 125329686614 129472816750 142420098425 176024840750 250659373228 258945633500 284840196850 313324216535 352049681500 569680393700 626648433070 712100492125 1253296866140 1424200984250 1566621082675 2848401968500 3133242165350 6266484330700 7833105413375 15666210826750 31332421653500