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1020221200200 = 2335216217104851
BaseRepresentation
bin11101101100010011110…
…11000001011101001000
310121112100222011211100210
432312021323001131020
5113203403111401300
62100403321001120
7133465014055326
oct16661173013510
93545328154323
101020221200200
113637452a79a4
121458860231a0
137528b741267
1437543c6cd16
151b811b28050
hexed89ec1748

1020221200200 has 96 divisors (see below), whose sum is σ = 3162910908960. Its totient is φ = 272039616000.

The previous prime is 1020221200181. The next prime is 1020221200211. The reversal of 1020221200200 is 20021220201.

1020221200200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 9677775 + ... + 9782625.

It is an arithmetic number, because the mean of its divisors is an integer number (32946988635).

Almost surely, 21020221200200 is an apocalyptic number.

1020221200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020221200200 is an abundant number, since it is smaller than the sum of its proper divisors (2142689708760).

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

1020221200200 is a wasteful number, since it uses less digits than its factorization.

1020221200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121087 (or 121078 counting only the distinct ones).

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

Adding to 1020221200200 its reverse (20021220201), we get a palindrome (1040242420401).

The spelling of 1020221200200 in words is "one trillion, twenty billion, two hundred twenty-one million, two hundred 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 16217 32434 48651 64868 81085 97302 104851 129736 162170 194604 209702 243255 314553 324340 389208 405425 419404 486510 524255 629106 648680 810850 838808 973020 1048510 1216275 1258212 1572765 1621700 1946040 2097020 2432550 2516424 2621275 3145530 3243400 4194040 4865100 5242550 6291060 7863825 9730200 10485100 12582120 15727650 20970200 31455300 62910600 1700368667 3400737334 5101106001 6801474668 8501843335 10202212002 13602949336 17003686670 20404424004 25505530005 34007373340 40808848008 42509216675 51011060010 68014746680 85018433350 102022120020 127527650025 170036866700 204044240040 255055300050 340073733400 510110600100 1020221200200