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1023212216664 = 2332117159180463
BaseRepresentation
bin11101110001111000011…
…00110110000101011000
310121211002102022012121100
432320330030312011120
5113231014311413124
62102020204511400
7133632103224051
oct16707414660530
93554072265540
101023212216664
11364a3a691930
1214637b84b560
13756472cb7a1
14377491b7728
151b9394e51c9
hexee3c336158

1023212216664 has 96 divisors (see below), whose sum is σ = 3023566041600. Its totient is φ = 310019279040.

The previous prime is 1023212216647. The next prime is 1023212216681. The reversal of 1023212216664 is 4666122123201.

1023212216664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1023212216647) and next prime (1023212216681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5579697 + ... + 5760159.

It is an arithmetic number, because the mean of its divisors is an integer number (31495479600).

Almost surely, 21023212216664 is an apocalyptic number.

It is an amenable number.

1023212216664 is an abundant number, since it is smaller than the sum of its proper divisors (2000353824936).

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

1023212216664 is a wasteful number, since it uses less digits than its factorization.

1023212216664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187645 (or 187638 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 1023212216664 its reverse (4666122123201), we get a palindrome (5689334339865).

The spelling of 1023212216664 in words is "one trillion, twenty-three billion, two hundred twelve million, two hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 7159 14318 21477 28636 42954 57272 64431 78749 85908 128862 157498 171816 180463 236247 257724 314996 360926 472494 515448 541389 629992 708741 721852 944988 1082778 1417482 1443704 1624167 1889976 1985093 2165556 2834964 3248334 3970186 4331112 5669928 5955279 6496668 7940372 11910558 12993336 15880744 17865837 23821116 35731674 47642232 71463348 142926696 1291934617 2583869234 3875803851 5167738468 7751607702 10335476936 11627411553 14211280787 15503215404 23254823106 28422561574 31006430808 42633842361 46509646212 56845123148 85267684722 93019292424 113690246296 127901527083 170535369444 255803054166 341070738888 511606108332 1023212216664