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1213022240240 = 245539717916477
BaseRepresentation
bin10001101001101101110…
…000100111110111110000
311021222000121100110022112
4101221231300213313300
5124333232143141430
62325131004224452
7153431551630016
oct21515560476760
94258017313275
101213022240240
11428492481a08
1217711283b128
138a5064756c5
14429d3c028b6
1521848082195
hex11a6dc27df0

1213022240240 has 160 divisors (see below), whose sum is σ = 2919508764480. Its totient is φ = 468485701632.

The previous prime is 1213022240239. The next prime is 1213022240249. The reversal of 1213022240240 is 420422203121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213022240249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73610882 + ... + 73627358.

It is an arithmetic number, because the mean of its divisors is an integer number (18246929778).

Almost surely, 21213022240240 is an apocalyptic number.

1213022240240 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 1213022240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459754382240).

1213022240240 is an abundant number, since it is smaller than the sum of its proper divisors (1706486524240).

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

1213022240240 is a wasteful number, since it uses less digits than its factorization.

1213022240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16819 (or 16813 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1213022240240 its reverse (420422203121), we get a palindrome (1633444443361).

The spelling of 1213022240240 in words is "one trillion, two hundred thirteen billion, twenty-two million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 97 106 179 194 212 265 358 388 424 485 530 716 776 848 895 970 1060 1432 1552 1790 1940 2120 2864 3580 3880 4240 5141 7160 7760 9487 10282 14320 16477 17363 18974 20564 25705 32954 34726 37948 41128 47435 51410 65908 69452 75896 82256 82385 86815 94870 102820 131816 138904 151792 164770 173630 189740 205640 263632 277808 329540 347260 379480 411280 659080 694520 758960 873281 920239 1318160 1389040 1598269 1746562 1840478 2949383 3196538 3493124 3680956 4366405 4601195 5898766 6393076 6986248 7361912 7991345 8732810 9202390 11797532 12786152 13972496 14723824 14746915 15982690 17465620 18404780 23595064 25572304 29493830 31965380 34931240 36809560 47190128 58987660 63930760 69862480 73619120 84708257 117975320 127861520 156317299 169416514 235950640 286090151 312634598 338833028 423541285 572180302 625269196 677666056 781586495 847082570 1144360604 1250538392 1355332112 1430450755 1563172990 1694165140 2288721208 2501076784 2860901510 3126345980 3388330280 4577442416 5721803020 6252691960 6776660560 11443606040 12505383920 15162778003 22887212080 30325556006 60651112012 75813890015 121302224024 151627780030 242604448048 303255560060 606511120120 1213022240240