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103383530112 = 2731079912539
BaseRepresentation
bin110000001001000100…
…0110111101010000000
3100212211222100110222210
41200102020313222000
53143212140430422
6115254351502120
710316640335532
oct1402210675200
9325758313883
10103383530112
113a932342385
1218052b27940
1399977b9b75
14500a581852
152a512dc10c
hex1812237a80

103383530112 has 128 divisors (see below), whose sum is σ = 277567948800. Its totient is φ = 34091228160.

The previous prime is 103383530101. The next prime is 103383530137. The reversal of 103383530112 is 211035383301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 103383530112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40716939 + ... + 40719477.

It is an arithmetic number, because the mean of its divisors is an integer number (2168499600).

Almost surely, 2103383530112 is an apocalyptic number.

103383530112 is a gapful number since it is divisible by the number (12) 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 103383530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138783974400).

103383530112 is an abundant number, since it is smaller than the sum of its proper divisors (174184418688).

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

103383530112 is a wasteful number, since it uses less digits than its factorization.

103383530112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 103383530112 in words is "one hundred three billion, three hundred eighty-three million, five hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 991 1284 1712 1982 2539 2568 2973 3424 3964 5078 5136 5946 6848 7617 7928 10156 10272 11892 13696 15234 15856 20312 20544 23784 30468 31712 40624 41088 47568 60936 63424 81248 95136 106037 121872 126848 162496 190272 212074 243744 271673 318111 324992 380544 424148 487488 543346 636222 815019 848296 974976 1086692 1272444 1630038 1696592 2173384 2516149 2544888 3260076 3393184 4346768 5032298 5089776 6520152 6786368 7548447 8693536 10064596 10179552 13040304 13572736 15096894 17387072 20129192 20359104 26080608 30193788 34774144 40258384 40718208 52161216 60387576 80516768 104322432 120775152 161033536 241550304 269227943 322067072 483100608 538455886 807683829 966201216 1076911772 1615367658 2153823544 3230735316 4307647088 6461470632 8615294176 12922941264 17230588352 25845882528 34461176704 51691765056 103383530112