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102130324240 = 24572320113943
BaseRepresentation
bin101111100011101110…
…0010001001100010000
3100202121122020000201111
41133013130101030100
53133130330333430
6114530143143104
710243612301230
oct1370734211420
9322548200644
10102130324240
113a3499a624a
12179632a4a94
139827c87029
144d2bd61cc0
1529cb291c2a
hex17c7711310

102130324240 has 160 divisors (see below), whose sum is σ = 283386433536. Its totient is φ = 33468526080.

The previous prime is 102130324211. The next prime is 102130324253. The reversal of 102130324240 is 42423031201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25899709 + ... + 25903651.

Almost surely, 2102130324240 is an apocalyptic number.

102130324240 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 102130324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141693216768).

102130324240 is an abundant number, since it is smaller than the sum of its proper divisors (181256109296).

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

102130324240 is a wasteful number, since it uses less digits than its factorization.

102130324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102130324240 its reverse (42423031201), we get a palindrome (144553355441).

The spelling of 102130324240 in words is "one hundred two billion, one hundred thirty million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2011 2576 3220 3943 4022 6440 7886 8044 10055 12880 14077 15772 16088 19715 20110 27601 28154 31544 32176 39430 40220 46253 55202 56308 63088 70385 78860 80440 90689 92506 110404 112616 138005 140770 157720 160880 181378 185012 220808 225232 231265 276010 281540 315440 323771 362756 370024 441616 453445 462530 552020 563080 634823 647542 725512 740048 906890 925060 1104040 1126160 1269646 1295084 1451024 1618855 1813780 1850120 2208080 2539292 2590168 3174115 3237710 3627560 3700240 5078584 5180336 6348230 6475420 7255120 7929373 10157168 12696460 12950840 15858746 25392920 25901680 31717492 39646865 50785840 55505611 63434984 79293730 111011222 126869968 158587460 182375579 222022444 277528055 317174920 364751158 444044888 555056110 634349840 729502316 888089776 911877895 1110112220 1276629053 1459004632 1823755790 2220224440 2553258106 2918009264 3647511580 4440448880 5106516212 6383145265 7295023160 10213032424 12766290530 14590046320 20426064848 25532581060 51065162120 102130324240