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101352300240 = 24353147289843
BaseRepresentation
bin101111001100100010…
…0010101111011010000
3100200121102020022102210
41132121010111323100
53130032142101430
6114321031312120
710215414223542
oct1363104257320
9320542208383
10101352300240
1139a8a805304
121778681b640
139732a29ab9
144c968b7692
152982d0b2b0
hex1799115ed0

101352300240 has 160 divisors (see below), whose sum is σ = 331229085696. Its totient is φ = 25598845440.

The previous prime is 101352300199. The next prime is 101352300241. The reversal of 101352300240 is 42003253101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101352300241) 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, 204759 + ... + 494601.

Almost surely, 2101352300240 is an apocalyptic number.

101352300240 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 101352300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165614542848).

101352300240 is an abundant number, since it is smaller than the sum of its proper divisors (229876785456).

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

101352300240 is a wasteful number, since it uses less digits than its factorization.

101352300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289937 (or 289931 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 101352300240 its reverse (42003253101), we get a palindrome (143355553341).

The spelling of 101352300240 in words is "one hundred one billion, three hundred fifty-two million, three hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 47 48 60 62 80 93 94 120 124 141 155 186 188 235 240 248 282 310 372 376 465 470 496 564 620 705 744 752 930 940 1128 1240 1410 1457 1488 1860 1880 2256 2480 2820 2914 3720 3760 4371 5640 5828 7285 7440 8742 11280 11656 14570 17484 21855 23312 29140 34968 43710 58280 69936 87420 116560 174840 289843 349680 579686 869529 1159372 1449215 1739058 2318744 2898430 3478116 4347645 4637488 5796860 6956232 8695290 8985133 11593720 13622621 13912464 17390580 17970266 23187440 26955399 27245242 34781160 35940532 40867863 44925665 53910798 54490484 68113105 69562320 71881064 81735726 89851330 107821596 108980968 134776995 136226210 143762128 163471452 179702660 204339315 215643192 217961936 269553990 272452420 326942904 359405320 408678630 422301251 431286384 539107980 544904840 653885808 718810640 817357260 844602502 1078215960 1089809680 1266903753 1634714520 1689205004 2111506255 2156431920 2533807506 3269429040 3378410008 4223012510 5067615012 6334518765 6756820016 8446025020 10135230024 12669037530 16892050040 20270460048 25338075060 33784100080 50676150120 101352300240