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200312210222103 = 37231587178341999
BaseRepresentation
bin101101100010111011010010…
…001000100110110000010111
3222021020122211100020122011210
4231202323102020212300113
5202223403401304101403
61550010054202032503
760123036206364300
oct5542732210466027
9867218740218153
10200312210222103
1158909a275a61a1
121a571a21aa8733
1387a048b978285
14376723c6677a7
1518258a8696b03
hexb62ed2226c17

200312210222103 has 96 divisors (see below), whose sum is σ = 321444716544000. Its totient is φ = 110518368649920.

The previous prime is 200312210222087. The next prime is 200312210222207. The reversal of 200312210222103 is 301222012213002.

It is not a de Polignac number, because 200312210222103 - 24 = 200312210222087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 200312210222103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200312210221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4769430898 + ... + 4769472896.

It is an arithmetic number, because the mean of its divisors is an integer number (3348382464000).

Almost surely, 2200312210222103 is an apocalyptic number.

200312210222103 is a deficient number, since it is larger than the sum of its proper divisors (121132506321897).

200312210222103 is a wasteful number, since it uses less digits than its factorization.

200312210222103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44417 (or 44410 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 200312210222103 its reverse (301222012213002), we get a palindrome (501534222435105).

The spelling of 200312210222103 in words is "two hundred trillion, three hundred twelve billion, two hundred ten million, two hundred twenty-two thousand, one hundred three".

Divisors: 1 3 7 21 31 49 93 147 217 587 651 1519 1761 1783 4109 4557 5349 12327 12481 18197 28763 37443 41999 54591 55273 86289 87367 125997 127379 165819 262101 293993 382137 386911 881979 891653 1046621 1160733 1301969 2057951 2674959 2708377 3139863 3905907 6173853 7326347 8125131 9113783 21979041 24653413 27341349 32445251 51284429 63796481 73960239 74884217 97335753 153853287 172573891 191389443 224652651 227116757 517721673 524189519 681350271 764255803 1208017237 1572568557 1589817299 2292767409 2321410727 3624051711 3669326633 4769451897 5349790621 6964232181 11007979899 16049371863 16249875089 37448534347 43957035379 48749625267 112345603041 113749125623 131871106137 307699247653 341247376869 923097742959 1362668096749 2153894733571 4088004290247 6461684200713 9538676677243 28616030031729 66770736740701 200312210222103