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1020011110200 = 2332523118279769
BaseRepresentation
bin11101101011111010110…
…01100101111100111000
310121111211022212011001200
432311331121211330320
5113202440321011300
62100330414014200
7133456553245125
oct16657531457470
93544738764050
101020011110200
113636477531a5
121458277a7360
1375257063454
1437523dc174c
151b7ed479200
hexed7d665f38

1020011110200 has 144 divisors (see below), whose sum is σ = 3536038708800. Its totient is φ = 263228659200.

The previous prime is 1020011110189. The next prime is 1020011110259. The reversal of 1020011110200 is 20111100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9084085 + ... + 9195684.

Almost surely, 21020011110200 is an apocalyptic number.

1020011110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020011110200 is an abundant number, since it is smaller than the sum of its proper divisors (2516027598600).

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

1020011110200 is a wasteful number, since it uses less digits than its factorization.

1020011110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18279822 (or 18279810 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020011110200 its reverse (20111100201), we get a palindrome (1040122210401).

Subtracting from 1020011110200 its reverse (20111100201), we obtain a palindrome (999900009999).

It can be divided in two parts, 102001 and 1110200, that added together give a square (1212201 = 11012).

The spelling of 1020011110200 in words is "one trillion, twenty billion, eleven million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 900 930 1116 1240 1395 1550 1800 1860 2232 2325 2790 3100 3720 4650 5580 6200 6975 9300 11160 13950 18600 27900 55800 18279769 36559538 54839307 73119076 91398845 109678614 146238152 164517921 182797690 219357228 274196535 329035842 365595380 438714456 456994225 548393070 566672839 658071684 731190760 822589605 913988450 1096786140 1133345678 1316143368 1370982675 1645179210 1700018517 1827976900 2193572280 2266691356 2741965350 2833364195 3290358420 3400037034 3655953800 4112948025 4533382712 5100055551 5483930700 5666728390 6580716840 6800074068 8225896050 8500092585 10200111102 10967861400 11333456780 13600148136 14166820975 16451792100 17000185170 20400222204 22666913560 25500277755 28333641950 32903584200 34000370340 40800444408 42500462925 51000555510 56667283900 68000740680 85000925850 102001111020 113334567800 127501388775 170001851700 204002222040 255002777550 340003703400 510005555100 1020011110200