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1030102311200 = 25521775742817
BaseRepresentation
bin11101111110101101110…
…00011110000100100000
310122110212121020021102212
432333112320132010200
5113334122142424300
62105120015301252
7134264616114164
oct16772670360440
93573777207385
101030102311200
11367955999936
1214778321a828
13761a49033c1
1437c002c4ca4
151bbde34e935
hexefd6e1e120

1030102311200 has 72 divisors (see below), whose sum is σ = 2662663023972. Its totient is φ = 387803217920.

The previous prime is 1030102311181. The next prime is 1030102311257. The reversal of 1030102311200 is 21132010301.

It can be written as a sum of positive squares in 6 ways, for example, as 621694402576 + 408407908624 = 788476^2 + 639068^2 .

It is a super-2 number, since 2×10301023112002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37857809 + ... + 37885008.

Almost surely, 21030102311200 is an apocalyptic number.

1030102311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030102311200 is an abundant number, since it is smaller than the sum of its proper divisors (1632560712772).

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

1030102311200 is a wasteful number, since it uses less digits than its factorization.

1030102311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75742854 (or 75742841 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1030102311200 its reverse (21132010301), we get a palindrome (1051234321501).

The spelling of 1030102311200 in words is "one trillion, thirty billion, one hundred two million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 75742817 151485634 302971268 378714085 605942536 757428170 1211885072 1287627889 1514856340 1893570425 2423770144 2575255778 3029712680 3787140850 5150511556 6059425360 6438139445 7574281700 10301023112 12118850720 12876278890 15148563400 20602046224 25752557780 30297126800 32190697225 41204092448 51505115560 60594253600 64381394450 103010231120 128762788900 206020462240 257525577800 515051155600 1030102311200