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1020010201200 = 24335294445389
BaseRepresentation
bin11101101011111010101…
…10001000000001110000
310121111211021010222011000
432311331112020001300
5113202440102414300
62100330342322000
7133456542441024
oct16657526100160
93544737128130
101020010201200
11363647192261
12145827429300
1375256b05793
1437523c26384
151b7ed349c00
hexed7d588070

1020010201200 has 120 divisors (see below), whose sum is σ = 3630480791600. Its totient is φ = 272002717440.

The previous prime is 1020010201183. The next prime is 1020010201201. The reversal of 1020010201200 is 21020100201.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020010201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47211895 + ... + 47233494.

Almost surely, 21020010201200 is an apocalyptic number.

1020010201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020010201200 is an abundant number, since it is smaller than the sum of its proper divisors (2610470590400).

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

1020010201200 is a wasteful number, since it uses less digits than its factorization.

1020010201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94445416 (or 94445399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020010201200 its reverse (21020100201), we get a palindrome (1041030301401).

The spelling of 1020010201200 in words is "one trillion, twenty billion, ten million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 94445389 188890778 283336167 377781556 472226945 566672334 755563112 850008501 944453890 1133344668 1416680835 1511126224 1700017002 1888907780 2266689336 2361134725 2550025503 2833361670 3400034004 3777815560 4250042505 4533378672 4722269450 5100051006 5666723340 6800068008 7083404175 7555631120 8500085010 9444538900 10200102012 11333446680 12750127515 13600136016 14166808350 17000170020 18889077800 20400204024 21250212525 22666893360 25500255030 28333616700 34000340040 37778155600 40800408048 42500425050 51000510060 56667233400 63750637575 68000680080 85000850100 102001020120 113334466800 127501275150 170001700200 204002040240 255002550300 340003400400 510005100600 1020010201200