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1010212524240 = 243534970917011
BaseRepresentation
bin11101011001101010101…
…10111101000011010000
310120120112110002102001120
432230311112331003100
5113022403401233430
62052030224202240
7132662002530123
oct16546526750320
93516473072046
101010212524240
1135a4796a7577
12143952169380
1374355006aaa
1436c748cc3ba
151b428104610
hexeb355bd0d0

1010212524240 has 160 divisors (see below), whose sum is σ = 3145246608000. Its totient is φ = 268223477760.

The previous prime is 1010212524197. The next prime is 1010212524263. The reversal of 1010212524240 is 424252120101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010212524240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59377335 + ... + 59394345.

It is an arithmetic number, because the mean of its divisors is an integer number (19657791300).

Almost surely, 21010212524240 is an apocalyptic number.

1010212524240 is a gapful number since it is divisible by the number (10) 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 1010212524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572623304000).

1010212524240 is an abundant number, since it is smaller than the sum of its proper divisors (2135034083760).

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

1010212524240 is a wasteful number, since it uses less digits than its factorization.

1010212524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18085 (or 18079 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 1010212524240 its reverse (424252120101), we get a palindrome (1434464644341).

The spelling of 1010212524240 in words is "one trillion, ten billion, two hundred twelve million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 349 698 709 1047 1396 1418 1745 2094 2127 2792 2836 3490 3545 4188 4254 5235 5584 5672 6980 7090 8376 8508 10470 10635 11344 13960 14180 16752 17011 17016 20940 21270 27920 28360 34022 34032 41880 42540 51033 56720 68044 83760 85055 85080 102066 136088 170110 170160 204132 247441 255165 272176 340220 408264 494882 510330 680440 742323 816528 989764 1020660 1237205 1360880 1484646 1979528 2041320 2474410 2969292 3711615 3959056 4082640 4948820 5936839 5938584 7423230 9897640 11873678 11877168 12060799 14846460 17810517 19795280 23747356 24121598 29684195 29692920 35621034 36182397 47494712 48243196 59368390 59385840 60303995 71242068 72364794 89052585 94989424 96486392 118736780 120607990 142484136 144729588 178105170 180911985 192972784 237473560 241215980 284968272 289459176 356210340 361823970 474947120 482431960 578918352 712420680 723647940 964863920 1424841360 1447295880 2894591760 4209218851 8418437702 12627656553 16836875404 21046094255 25255313106 33673750808 42092188510 50510626212 63138282765 67347501616 84184377020 101021252424 126276565530 168368754040 202042504848 252553131060 336737508080 505106262120 1010212524240