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131103330320 = 2451924796587
BaseRepresentation
bin111101000011001011…
…1100001000000010000
3110112101211001020021202
41322012113201000100
54121444423032240
6140121131210332
712320601630554
oct1720627410020
9415354036252
10131103330320
1150667459576
12214aa2a69a8
13c494650301
1464b9c33864
153624b56315
hex1e865e1010

131103330320 has 120 divisors (see below), whose sum is σ = 328550649984. Its totient is φ = 48623710464.

The previous prime is 131103330317. The next prime is 131103330401. The reversal of 131103330320 is 23033301131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131103330292 and 131103330301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1309067 + ... + 1405653.

Almost surely, 2131103330320 is an apocalyptic number.

131103330320 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 131103330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164275324992).

131103330320 is an abundant number, since it is smaller than the sum of its proper divisors (197447319664).

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

131103330320 is a wasteful number, since it uses less digits than its factorization.

131103330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96685 (or 96660 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 131103330320 its reverse (23033301131), we get a palindrome (154136631451).

The spelling of 131103330320 in words is "one hundred thirty-one billion, one hundred three million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 47 76 80 94 95 152 188 190 235 304 361 376 380 470 722 752 760 893 940 1444 1520 1786 1805 1880 2888 3572 3610 3760 4465 5776 7144 7220 8930 14288 14440 16967 17860 28880 33934 35720 67868 71440 84835 96587 135736 169670 193174 271472 339340 386348 482935 678680 772696 965870 1357360 1545392 1835153 1931740 3670306 3863480 4539589 7340612 7726960 9079178 9175765 14681224 18158356 18351530 22697945 29362448 34867907 36316712 36703060 45395890 69735814 72633424 73406120 86252191 90791780 139471628 146812240 172504382 174339535 181583560 278943256 345008764 348679070 363167120 431260955 557886512 690017528 697358140 862521910 1380035056 1394716280 1638791629 1725043820 2789432560 3277583258 3450087640 6555166516 6900175280 8193958145 13110333032 16387916290 26220666064 32775832580 65551665160 131103330320