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10130611470 = 2357293744959
BaseRepresentation
bin10010110111101010…
…01101110100001110
3222011000112101101020
421123311031310032
5131221414031340
64353130055010
7506021530260
oct113365156416
928130471336
1010130611470
114329514381
121b6887a466
13c55a8b375
146c1641b30
153e45ac9d0
hex25bd4dd0e

10130611470 has 128 divisors (see below), whose sum is σ = 29522534400. Its totient is φ = 2175247872.

The previous prime is 10130611459. The next prime is 10130611511. The reversal of 10130611470 is 7411603101.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10130611470.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202851 + ... + 247809.

It is an arithmetic number, because the mean of its divisors is an integer number (230644800).

Almost surely, 210130611470 is an apocalyptic number.

10130611470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130611470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761267200).

10130611470 is an abundant number, since it is smaller than the sum of its proper divisors (19391922930).

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

10130611470 is a wasteful number, since it uses less digits than its factorization.

10130611470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45042.

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 10130611470 in words is "ten billion, one hundred thirty million, six hundred eleven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 37 42 58 70 74 87 105 111 145 174 185 203 210 222 259 290 370 406 435 518 555 609 777 870 1015 1073 1110 1218 1295 1554 2030 2146 2590 3045 3219 3885 5365 6090 6438 7511 7770 10730 15022 16095 22533 32190 37555 44959 45066 75110 89918 112665 134877 224795 225330 269754 314713 449590 629426 674385 944139 1303811 1348770 1573565 1663483 1888278 2607622 3147130 3326966 3911433 4720695 4990449 6519055 7822866 8317415 9126677 9441390 9980898 11644381 13038110 16634830 18253354 19557165 23288762 24952245 27380031 34933143 39114330 45633385 48241007 49904490 54760062 58221905 69866286 91266770 96482014 116443810 136900155 144723021 174665715 241205035 273800310 289446042 337687049 349331430 482410070 675374098 723615105 1013061147 1447230210 1688435245 2026122294 3376870490 5065305735 10130611470