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102431730700 = 225213613733463
BaseRepresentation
bin101111101100101101…
…0000010110000001100
3100210101122101001122201
41133121122002300030
53134240010340300
6115020111251244
710254232226245
oct1373132026014
9323348331581
10102431730700
113a4940503a2
1217a28219b24
139875558050
144d59dbdccc
1529e797c66a
hex17d9682c0c

102431730700 has 144 divisors (see below), whose sum is σ = 244021978816. Its totient is φ = 37090483200.

The previous prime is 102431730683. The next prime is 102431730703. The reversal of 102431730700 is 7037134201.

It is not an unprimeable number, because it can be changed into a prime (102431730703) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29577169 + ... + 29580631.

Almost surely, 2102431730700 is an apocalyptic number.

102431730700 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 102431730700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122010989408).

102431730700 is an abundant number, since it is smaller than the sum of its proper divisors (141590248116).

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

102431730700 is a wasteful number, since it uses less digits than its factorization.

102431730700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

Adding to 102431730700 its reverse (7037134201), we get a palindrome (109468864901).

The spelling of 102431730700 in words is "one hundred two billion, four hundred thirty-one million, seven hundred thirty thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 100 122 130 244 260 305 325 373 610 650 746 793 1220 1300 1492 1525 1586 1865 3050 3172 3463 3730 3965 4849 6100 6926 7460 7930 9325 9698 13852 15860 17315 18650 19396 19825 22753 24245 34630 37300 39650 45019 45506 48490 69260 79300 86575 90038 91012 96980 113765 121225 173150 180076 211243 225095 227530 242450 295789 346300 422486 450190 455060 484900 568825 591578 844972 900380 1056215 1125475 1137650 1183156 1291699 1478945 2112430 2250950 2275300 2583398 2746159 2957890 4224860 4501900 5166796 5281075 5492318 5915780 6458495 7394725 10562150 10984636 12916990 13730795 14789450 16792087 21124300 25833980 27461590 29578900 32292475 33584174 54923180 64584950 67168348 68653975 78793639 83960435 129169900 137307950 157587278 167920870 274615900 315174556 335841740 393968195 419802175 787936390 839604350 1024317307 1575872780 1679208700 1969840975 2048634614 3939681950 4097269228 5121586535 7879363900 10243173070 20486346140 25607932675 51215865350 102431730700