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103484042240 = 2105181111667
BaseRepresentation
bin110000001100000100…
…0010010110000000000
3100220002222111000201012
41200120020102300000
53143413403322430
6115312342100052
710322300563025
oct1403010226000
9326088430635
10103484042240
113a984053657
121808071a628
1399b257c7b7
145019a6754c
152a5a043695
hex1818212c00

103484042240 has 88 divisors (see below), whose sum is σ = 249614160432. Its totient is φ = 41164554240.

The previous prime is 103484042197. The next prime is 103484042257. The reversal of 103484042240 is 42240484301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 103484042197 and 103484042206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870887 + ... + 982553.

Almost surely, 2103484042240 is an apocalyptic number.

103484042240 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 103484042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124807080216).

103484042240 is an abundant number, since it is smaller than the sum of its proper divisors (146130118192).

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

103484042240 is a wasteful number, since it uses less digits than its factorization.

103484042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111873 (or 111855 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The spelling of 103484042240 in words is "one hundred three billion, four hundred eighty-four million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 256 320 362 512 640 724 905 1024 1280 1448 1810 2560 2896 3620 5120 5792 7240 11584 14480 23168 28960 46336 57920 92672 111667 115840 185344 223334 231680 446668 463360 558335 893336 926720 1116670 1786672 2233340 3573344 4466680 7146688 8933360 14293376 17866720 20211727 28586752 35733440 40423454 57173504 71466880 80846908 101058635 114347008 142933760 161693816 202117270 285867520 323387632 404234540 571735040 646775264 808469080 1293550528 1616938160 2587101056 3233876320 5174202112 6467752640 10348404224 12935505280 20696808448 25871010560 51742021120 103484042240