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103471284000 = 2535372574793
BaseRepresentation
bin110000001011101011…
…1100111111100100000
3100220002002110211200210
41200113113213330200
53143402122042000
6115311204414120
710322054255010
oct1402727477440
9326062424623
10103471284000
113a97792a157
12180783a7340
1399aca33646
1450180a5c40
152a58d73350
hex18175e7f20

103471284000 has 384 divisors, whose sum is σ = 388985006592. Its totient is φ = 23553638400.

The previous prime is 103471283959. The next prime is 103471284011. The reversal of 103471284000 is 482174301.

It is a super-2 number, since 2×1034712840002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21585604 + ... + 21590396.

It is an arithmetic number, because the mean of its divisors is an integer number (1012981788).

Almost surely, 2103471284000 is an apocalyptic number.

103471284000 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 103471284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194492503296).

103471284000 is an abundant number, since it is smaller than the sum of its proper divisors (285513722592).

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

103471284000 is a wasteful number, since it uses less digits than its factorization.

103471284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 103471284000 in words is "one hundred three billion, four hundred seventy-one million, two hundred eighty-four thousand".