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1300132310120 = 2357193197912157
BaseRepresentation
bin10010111010110101111…
…011001010110001101000
311121021212110022111120222
4102322311323022301220
5132300132332410440
62433134511305212
7162634330203230
oct22726573126150
94537773274528
101300132310120
114614238817a6
1218bb8381b208
13957a9641557
1446cd8d8acc0
1523c4585d2b5
hex12eb5ecac68

1300132310120 has 128 divisors (see below), whose sum is σ = 3362494291200. Its totient is φ = 443189477376.

The previous prime is 1300132310107. The next prime is 1300132310143. The reversal of 1300132310120 is 210132310031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106939082 + ... + 106951238.

It is an arithmetic number, because the mean of its divisors is an integer number (26269486650).

Almost surely, 21300132310120 is an apocalyptic number.

1300132310120 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 1300132310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681247145600).

1300132310120 is an abundant number, since it is smaller than the sum of its proper divisors (2062361981080).

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

1300132310120 is a wasteful number, since it uses less digits than its factorization.

1300132310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14347 (or 14343 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1300132310120 its reverse (210132310031), we get a palindrome (1510264620151).

The spelling of 1300132310120 in words is "one trillion, three hundred billion, one hundred thirty-two million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 193 280 386 772 965 1351 1544 1930 1979 2702 3860 3958 5404 6755 7720 7916 9895 10808 12157 13510 13853 15832 19790 24314 27020 27706 39580 48628 54040 55412 60785 69265 79160 85099 97256 110824 121570 138530 170198 243140 277060 340396 381947 425495 486280 554120 680792 763894 850990 1527788 1701980 1909735 2346301 2673629 3055576 3403960 3819470 4692602 5347258 7638940 9385204 10694516 11731505 13368145 15277880 16424107 18770408 21389032 23463010 24058703 26736290 32848214 46926020 48117406 53472580 65696428 82120535 93852040 96234812 106945160 120293515 131392856 164241070 168410921 192469624 240587030 328482140 336821842 481174060 656964280 673643684 842054605 962348120 1347287368 1684109210 3368218420 4643329679 6736436840 9286659358 18573318716 23216648395 32503307753 37146637432 46433296790 65006615506 92866593580 130013231012 162516538765 185733187160 260026462024 325033077530 650066155060 1300132310120