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102420121300 = 225271936720983
BaseRepresentation
bin101111101100010110…
…1110000011011010100
3100210100211112020112221
41133120231300123110
53134224022340200
6115015014352124
710254031444510
oct1373055603324
9323324466487
10102420121300
113a488541052
1217a2435b644
139873021a93
144d5863b140
1529e693791a
hex17d8b706d4

102420121300 has 144 divisors (see below), whose sum is σ = 268111728640. Its totient is φ = 33175059840.

The previous prime is 102420121267. The next prime is 102420121327. The reversal of 102420121300 is 3121024201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4870609 + ... + 4891591.

Almost surely, 2102420121300 is an apocalyptic number.

102420121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102420121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134055864320).

102420121300 is an abundant number, since it is smaller than the sum of its proper divisors (165691607340).

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

102420121300 is a wasteful number, since it uses less digits than its factorization.

102420121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21390 (or 21383 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102420121300 its reverse (3121024201), we get a palindrome (105541145501).

The spelling of 102420121300 in words is "one hundred two billion, four hundred twenty million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 367 380 475 532 665 700 734 950 1330 1468 1835 1900 2569 2660 3325 3670 5138 6650 6973 7340 9175 10276 12845 13300 13946 18350 20983 25690 27892 34865 36700 41966 48811 51380 64225 69730 83932 97622 104915 128450 139460 146881 174325 195244 209830 244055 256900 293762 348650 398677 419660 488110 524575 587524 697300 734405 797354 976220 1049150 1220275 1468810 1594708 1993385 2098300 2440550 2790739 2937620 3672025 3986770 4881100 5581478 7344050 7700761 7973540 9966925 11162956 13953695 14688100 15401522 19933850 27907390 30803044 38503805 39867700 53905327 55814780 69768475 77007610 107810654 139536950 146314459 154015220 192519025 215621308 269526635 279073900 292628918 385038050 539053270 585257836 731572295 770076100 1024201213 1078106540 1347633175 1463144590 2048402426 2695266350 2926289180 3657861475 4096804852 5121006065 5390532700 7315722950 10242012130 14631445900 20484024260 25605030325 51210060650 102420121300