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100230311300 = 225271213118043
BaseRepresentation
bin101110101011000110…
…0010010110110000100
3100120201020000100221212
41131112030102312010
53120232424430200
6114013431230552
710145541406010
oct1352614226604
9316636010855
10100230311300
1139564441419
1217512b18458
1395b444a612
144bcb893540
152919580035
hex1756312d84

100230311300 has 72 divisors (see below), whose sum is σ = 248778202176. Its totient is φ = 34336056960.

The previous prime is 100230311287. The next prime is 100230311333. The reversal of 100230311300 is 3113032001.

It is a super-2 number, since 2×1002303113002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790079 + ... + 908121.

It is an arithmetic number, because the mean of its divisors is an integer number (3455252808).

Almost surely, 2100230311300 is an apocalyptic number.

100230311300 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 100230311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124389101088).

100230311300 is an abundant number, since it is smaller than the sum of its proper divisors (148547890876).

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

100230311300 is a wasteful number, since it uses less digits than its factorization.

100230311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119277 (or 119270 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100230311300 its reverse (3113032001), we get a palindrome (103343343301).

The spelling of 100230311300 in words is "one hundred billion, two hundred thirty million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1213 2426 4852 6065 8491 12130 16982 24260 30325 33964 42455 60650 84910 118043 121300 169820 212275 236086 424550 472172 590215 826301 849100 1180430 1652602 2360860 2951075 3305204 4131505 5902150 8263010 11804300 16526020 20657525 41315050 82630100 143186159 286372318 572744636 715930795 1002303113 1431861590 2004606226 2863723180 3579653975 4009212452 5011515565 7159307950 10023031130 14318615900 20046062260 25057577825 50115155650 100230311300