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102420031344 = 24373239122299
BaseRepresentation
bin101111101100010110…
…1011010011101110000
3100210100211100200011020
41133120231122131300
53134224012000334
6115015012415440
710254030621321
oct1373055323560
9323324320136
10102420031344
113a48848a504
1217a24317580
139872cbcb57
144d58616448
1529e691ae49
hex17d8b5a770

102420031344 has 80 divisors (see below), whose sum is σ = 269333952000. Its totient is φ = 33531176448.

The previous prime is 102420031339. The next prime is 102420031391. The reversal of 102420031344 is 443130024201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 776307 + ... + 898605.

It is an arithmetic number, because the mean of its divisors is an integer number (3366674400).

Almost surely, 2102420031344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102420031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134666976000).

102420031344 is an abundant number, since it is smaller than the sum of its proper divisors (166913920656).

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

102420031344 is a wasteful number, since it uses less digits than its factorization.

102420031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122622 (or 122616 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102420031344 its reverse (443130024201), we get a palindrome (545550055545).

The spelling of 102420031344 in words is "one hundred two billion, four hundred twenty million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 239 292 438 478 584 717 876 956 1168 1434 1752 1912 2868 3504 3824 5736 11472 17447 34894 52341 69788 104682 122299 139576 209364 244598 279152 366897 418728 489196 733794 837456 978392 1467588 1956784 2935176 5870352 8927827 17855654 26783481 29229461 35711308 53566962 58458922 71422616 87688383 107133924 116917844 142845232 175376766 214267848 233835688 350753532 428535696 467671376 701507064 1403014128 2133750653 4267501306 6401251959 8535002612 12802503918 17070005224 25605007836 34140010448 51210015672 102420031344