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10303011130320 = 2432526175467993
BaseRepresentation
bin1001010111101101101101…
…0100011000101111010000
31100110221212120010112211200
42111323123110120233100
52322301031322132240
633525045445111200
72112240135430356
oct225733324305720
940427776115750
1010303011130320
113312534203077
1211a49616b8500
13599753a6783c
142789501337d6
1512d011b43930
hex95edb518bd0

10303011130320 has 120 divisors (see below), whose sum is σ = 34614173650056. Its totient is φ = 2746419277824.

The previous prime is 10303011130297. The next prime is 10303011130367. The reversal of 10303011130320 is 2303111030301.

It is a happy number.

10303011130320 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 301 + 11 + 30 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1072740775824 + 9230270354496 = 1035732^2 + 3038136^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10303011130293 and 10303011130302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849757 + ... + 4618236.

Almost surely, 210303011130320 is an apocalyptic number.

10303011130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10303011130320 is an abundant number, since it is smaller than the sum of its proper divisors (24311162519736).

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

10303011130320 is a wasteful number, since it uses less digits than its factorization.

10303011130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470629 (or 5470620 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10303011130320 its reverse (2303111030301), we get a palindrome (12606122160621).

The spelling of 10303011130320 in words is "ten trillion, three hundred three billion, eleven million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2617 5234 7851 10468 13085 15702 20936 23553 26170 31404 39255 41872 47106 52340 62808 78510 94212 104680 117765 125616 157020 188424 209360 235530 314040 376848 471060 628080 942120 1884240 5467993 10935986 16403979 21871972 27339965 32807958 43743944 49211937 54679930 65615916 82019895 87487888 98423874 109359860 131231832 164039790 196847748 218719720 246059685 262463664 328079580 393695496 437439440 492119370 656159160 787390992 984238740 1312318320 1968477480 3936954960 14309737681 28619475362 42929213043 57238950724 71548688405 85858426086 114477901448 128787639129 143097376810 171716852172 214646065215 228955802896 257575278258 286194753620 343433704344 429292130430 515150556516 572389507240 643938195645 686867408688 858584260860 1030301113032 1144779014480 1287876391290 1717168521720 2060602226064 2575752782580 3434337043440 5151505565160 10303011130320