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1020122020200 = 233526961244247
BaseRepresentation
bin11101101100001000000…
…00101011100101101000
310121112010001112221222110
432312010000223211220
5113203202214121300
62100345415122320
7133462401046653
oct16660400534550
93545101487873
101020122020200
113636a4316558
121458589733a0
1375274026a7a
1437534a1289a
151b808086550
hexed8402b968

1020122020200 has 96 divisors (see below), whose sum is σ = 3162845511360. Its totient is φ = 271992345600.

The previous prime is 1020122020193. The next prime is 1020122020213. The reversal of 1020122020200 is 20202210201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054477 + ... + 4298723.

It is an arithmetic number, because the mean of its divisors is an integer number (32946307410).

Almost surely, 21020122020200 is an apocalyptic number.

1020122020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020122020200 is an abundant number, since it is smaller than the sum of its proper divisors (2142723491160).

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

1020122020200 is a wasteful number, since it uses less digits than its factorization.

1020122020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251227 (or 251218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020122020200 its reverse (20202210201), we get a palindrome (1040324230401).

It can be divided in two parts, 102012 and 2020200, that added together give a palindrome (2122212).

The spelling of 1020122020200 in words is "one trillion, twenty billion, one hundred twenty-two million, twenty 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 6961 13922 20883 27844 34805 41766 55688 69610 83532 104415 139220 167064 174025 208830 244247 278440 348050 417660 488494 522075 696100 732741 835320 976988 1044150 1221235 1392200 1465482 1953976 2088300 2442470 2930964 3663705 4176600 4884940 5861928 6106175 7327410 9769880 12212350 14654820 18318525 24424700 29309640 36637050 48849400 73274100 146548200 1700203367 3400406734 5100610101 6800813468 8501016835 10201220202 13601626936 17002033670 20402440404 25503050505 34004067340 40804880808 42505084175 51006101010 68008134680 85010168350 102012202020 127515252525 170020336700 204024404040 255030505050 340040673400 510061010100 1020122020200