Search a number
-
+
103017447000 = 233353131272311
BaseRepresentation
bin101111111110001010…
…0010111111001011000
3100211220110111112101000
41133330110113321120
53141434431301000
6115154153225000
710304603565036
oct1377424277130
9324813445330
10103017447000
113a764732756
1217b70402160
1399399c2340
144db3ac9556
152a2e0c8000
hex17fc517e58

103017447000 has 512 divisors, whose sum is σ = 387794534400. Its totient is φ = 25147584000.

The previous prime is 103017446993. The next prime is 103017447017. The reversal of 103017447000 is 744710301.

It is a super-2 number, since 2×1030174470002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 44575845 + ... + 44578155.

It is an arithmetic number, because the mean of its divisors is an integer number (757411200).

Almost surely, 2103017447000 is an apocalyptic number.

103017447000 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 103017447000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193897267200).

103017447000 is an abundant number, since it is smaller than the sum of its proper divisors (284777087400).

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

103017447000 is a wasteful number, since it uses less digits than its factorization.

103017447000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 103017447000 in words is "one hundred three billion, seventeen million, four hundred forty-seven thousand".