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220001001012 = 2232132511872859
BaseRepresentation
bin1100110011100100010…
…1001101111000110100
3210000212020200210212200
43030321011031320310
512101030224013022
6245022252544500
721615554440212
oct3147105157064
9700766623780
10220001001012
1185335914301
1236779a82130
1317990c87610
14a910587cb2
155ac933bbac
hex333914de34

220001001012 has 72 divisors (see below), whose sum is σ = 601277957280. Its totient is φ = 67422888000.

The previous prime is 220001000971. The next prime is 220001001023. The reversal of 220001001012 is 210100100022.

220001001012 is digitally balanced in base 2, because in such base 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 220001000985 and 220001001003.

It is a congruent number.

It is an unprimeable number.

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, 818962 + ... + 1053897.

It is an arithmetic number, because the mean of its divisors is an integer number (8351082740).

Almost surely, 2220001001012 is an apocalyptic number.

It is an amenable number.

220001001012 is an abundant number, since it is smaller than the sum of its proper divisors (381276956268).

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

220001001012 is a wasteful number, since it uses less digits than its factorization.

220001001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873133 (or 1873128 counting only the distinct ones).

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

Adding to 220001001012 its reverse (210100100022), we get a palindrome (430101101034).

The spelling of 220001001012 in words is "two hundred twenty billion, one million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 251 468 502 753 1004 1506 2259 3012 3263 4518 6526 9036 9789 13052 19578 29367 39156 58734 117468 1872859 3745718 5618577 7491436 11237154 16855731 22474308 24347167 33711462 48694334 67422924 73041501 97388668 146083002 219124503 292166004 438249006 470087609 876498012 940175218 1410262827 1880350436 2820525654 4230788481 5641051308 6111138917 8461576962 12222277834 16923153924 18333416751 24444555668 36666833502 55000250253 73333667004 110000500506 220001001012