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100303234000 = 2453139360803
BaseRepresentation
bin101110101101010001…
…0011110001111010000
3100120220022020020002121
41131122202132033100
53120410111442000
6114024554224024
710150415264434
oct1353242361720
9316808206077
10100303234000
11395a1619312
1217533425014
1395c65a0548
144bd74369c4
152920b86b1a
hex175a89e3d0

100303234000 has 80 divisors (see below), whose sum is σ = 244278740160. Its totient is φ = 39832540800.

The previous prime is 100303233977. The next prime is 100303234037. The reversal of 100303234000 is 432303001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 97599 + ... + 458401.

It is an arithmetic number, because the mean of its divisors is an integer number (3053484252).

Almost surely, 2100303234000 is an apocalyptic number.

100303234000 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 100303234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122139370080).

100303234000 is an abundant number, since it is smaller than the sum of its proper divisors (143975506160).

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

100303234000 is a wasteful number, since it uses less digits than its factorization.

100303234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360965 (or 360949 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 100303234000 its reverse (432303001), we get a palindrome (100735537001).

The spelling of 100303234000 in words is "one hundred billion, three hundred three million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 139 200 250 278 400 500 556 695 1000 1112 1390 2000 2224 2780 3475 5560 6950 11120 13900 17375 27800 34750 55600 69500 139000 278000 360803 721606 1443212 1804015 2886424 3608030 5772848 7216060 9020075 14432120 18040150 28864240 36080300 45100375 50151617 72160600 90200750 100303234 144321200 180401500 200606468 250758085 360803000 401212936 501516170 721606000 802425872 1003032340 1253790425 2006064680 2507580850 4012129360 5015161700 6268952125 10030323400 12537904250 20060646800 25075808500 50151617000 100303234000