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300212312032100 = 2252132291008439073
BaseRepresentation
bin100010001000010101010000…
…0001101110100001101100100
31110100222000110012111022021102
41010100222200031310031210
5303322134303340011400
62542255344315535232
7120143423646122306
oct10420524015641544
91410860405438242
10300212312032100
1187725365694666
12298071a7a5a518
13cb68b9040a090
14541c4d3b5b976
1524a9327b3c9d5
hex1110aa0374364

300212312032100 has 72 divisors (see below), whose sum is σ = 704636718566760. Its totient is φ = 110363572039680.

The previous prime is 300212312032093. The next prime is 300212312032109. The reversal of 300212312032100 is 1230213212003.

It can be written as a sum of positive squares in 12 ways, for example, as 116954145637156 + 183258166394944 = 10814534^2 + 13537288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (300212312032109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503921837 + ... + 504517236.

It is an arithmetic number, because the mean of its divisors is an integer number (9786621091205).

Almost surely, 2300212312032100 is an apocalyptic number.

It is an amenable number.

300212312032100 is an abundant number, since it is smaller than the sum of its proper divisors (404424406534660).

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

300212312032100 is a wasteful number, since it uses less digits than its factorization.

300212312032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008439329 (or 1008439322 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 300212312032100 its reverse (1230213212003), we get a palindrome (301442525244103).

The spelling of 300212312032100 in words is "three hundred trillion, two hundred twelve billion, three hundred twelve million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 229 260 325 458 650 916 1145 1300 2290 2977 4580 5725 5954 11450 11908 14885 22900 29770 59540 74425 148850 297700 1008439073 2016878146 4033756292 5042195365 10084390730 13109707949 20168781460 25210976825 26219415898 50421953650 52438831796 65548539745 100843907300 131097079490 230932547717 262194158980 327742698725 461865095434 655485397450 923730190868 1154662738585 1310970794900 2309325477170 3002123120321 4618650954340 5773313692925 6004246240642 11546627385850 12008492481284 15010615601605 23093254771700 30021231203210 60042462406420 75053078008025 150106156016050 300212312032100