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103003380480 = 283571113127211
BaseRepresentation
bin101111111101101111…
…0101101101100000000
3100211212111000212201210
41133323132231230000
53141422331133410
6115152531530120
710304343200550
oct1377336555400
9324774025653
10103003380480
113a7577a5330
1217b67759940
139936b08860
144db1ca7160
152a2cc4a220
hex17fb7adb00

103003380480 has 1152 divisors, whose sum is σ = 447277694976. Its totient is φ = 19508428800.

The previous prime is 103003380463. The next prime is 103003380559. The reversal of 103003380480 is 84083300301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 488167575 + ... + 488167785.

It is an arithmetic number, because the mean of its divisors is an integer number (388261888).

Almost surely, 2103003380480 is an apocalyptic number.

103003380480 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 103003380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223638847488).

103003380480 is an abundant number, since it is smaller than the sum of its proper divisors (344274314496).

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

103003380480 is a wasteful number, since it uses less digits than its factorization.

103003380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 103003380480 its reverse (84083300301), we get a palindrome (187086680781).

The spelling of 103003380480 in words is "one hundred three billion, three million, three hundred eighty thousand, four hundred eighty".