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10139430600 = 23325213433309
BaseRepresentation
bin10010111000101101…
…10110111011001000
3222011122010102221200
421130112312323020
5131231143234400
64354043104200
7506156511105
oct113426667310
928148112850
1010139430600
114333498312
121b6b812060
13c578585a0
146c2899aac
153e5250b00
hex25c5b6ec8

10139430600 has 144 divisors (see below), whose sum is σ = 36671025300. Its totient is φ = 2495854080.

The previous prime is 10139430577. The next prime is 10139430601. The reversal of 10139430600 is 603493101.

10139430600 is a `hidden beast` number, since 1 + 0 + 13 + 9 + 43 + 0 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1139872644 + 8999557956 = 33762^2 + 94866^2 .

It is not an unprimeable number, because it can be changed into a prime (10139430601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193255 + ... + 240054.

Almost surely, 210139430600 is an apocalyptic number.

10139430600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10139430600 is an abundant number, since it is smaller than the sum of its proper divisors (26531594700).

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

10139430600 is a wasteful number, since it uses less digits than its factorization.

10139430600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433344 (or 433332 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10139430600 in words is "ten billion, one hundred thirty-nine million, four hundred thirty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 433309 866618 1299927 1733236 2166545 2599854 3466472 3899781 4333090 5199708 5633017 6499635 7799562 8666180 10399416 10832725 11266034 12999270 15599124 16899051 17332360 19498905 21665450 22532068 25998540 28165085 31198248 32498175 33798102 38997810 43330900 45064136 50697153 51997080 56330170 64996350 67596204 77995620 84495255 86661800 97494525 101394306 112660340 129992700 135192408 140825425 155991240 168990510 194989050 202788612 225320680 253485765 259985400 281650850 337981020 389978100 405577224 422476275 506971530 563301700 675962040 779956200 844952550 1013943060 1126603400 1267428825 1689905100 2027886120 2534857650 3379810200 5069715300 10139430600