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102144110442 = 2311361920663
BaseRepresentation
bin101111100100001000…
…0110110111101101010
3100202122121011102211120
41133020100312331222
53133142343013232
6114531354440110
710244140420233
oct1371020667552
9322577142746
10102144110442
113a356762000
1217967a33036
13982aaa304a
144d2db1008a
1529cc5b692c
hex17c8436f6a

102144110442 has 64 divisors (see below), whose sum is σ = 225075594240. Its totient is φ = 30901260720.

The previous prime is 102144110441. The next prime is 102144110477. The reversal of 102144110442 is 244011441201.

It is not an unprimeable number, because it can be changed into a prime (102144110441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4933003 + ... + 4953665.

It is an arithmetic number, because the mean of its divisors is an integer number (3516806160).

Almost surely, 2102144110442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102144110442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112537797120).

102144110442 is an abundant number, since it is smaller than the sum of its proper divisors (122931483798).

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

102144110442 is a wasteful number, since it uses less digits than its factorization.

102144110442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21320 (or 21298 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102144110442 its reverse (244011441201), we get a palindrome (346155551643).

The spelling of 102144110442 in words is "one hundred two billion, one hundred forty-four million, one hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 619 726 1238 1331 1857 2662 3714 3993 6809 7986 13618 20427 20663 40854 41326 61989 74899 123978 149798 224697 227293 449394 454586 681879 823889 1363758 1647778 2471667 2500223 4943334 5000446 7500669 12790397 15001338 25580794 27502453 38371191 55004906 76742382 82507359 140694367 165014718 281388734 422083101 844166202 1547638037 3095276074 4642914111 9285828222 17024018407 34048036814 51072055221 102144110442