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1020201112200 = 2335214991134313
BaseRepresentation
bin11101101100010001011…
…10011001001010001000
310121112022120101020210210
432312020232121022020
5113203332441042300
62100401322241120
7133464351241614
oct16661056311210
93545276336723
101020201112200
11363734a27546
1214587b3561a0
1375287529a7a
1437541320344
151b80eeab050
hexed88b99288

1020201112200 has 96 divisors (see below), whose sum is σ = 3164736060000. Its totient is φ = 271871900160.

The previous prime is 1020201112153. The next prime is 1020201112279. The reversal of 1020201112200 is 22111020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332244 + ... + 1466556.

It is an arithmetic number, because the mean of its divisors is an integer number (32966000625).

Almost surely, 21020201112200 is an apocalyptic number.

1020201112200 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 1020201112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582368030000).

1020201112200 is an abundant number, since it is smaller than the sum of its proper divisors (2144534947800).

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

1020201112200 is a wasteful number, since it uses less digits than its factorization.

1020201112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135831 (or 1135822 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020201112200 its reverse (22111020201), we get a palindrome (1042312132401).

The spelling of 1020201112200 in words is "one trillion, twenty billion, two hundred one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1499 2998 4497 5996 7495 8994 11992 14990 17988 22485 29980 35976 37475 44970 59960 74950 89940 112425 149900 179880 224850 299800 449700 899400 1134313 2268626 3402939 4537252 5671565 6805878 9074504 11343130 13611756 17014695 22686260 27223512 28357825 34029390 45372520 56715650 68058780 85073475 113431300 136117560 170146950 226862600 340293900 680587800 1700335187 3400670374 5101005561 6801340748 8501675935 10202011122 13602681496 17003351870 20404022244 25505027805 34006703740 40808044488 42508379675 51010055610 68013407480 85016759350 102020111220 127525139025 170033518700 204040222440 255050278050 340067037400 510100556100 1020201112200