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2003213121300 = 2232525094372873
BaseRepresentation
bin11101001001101000110…
…011100111011100010100
321002111122100220022202200
4131021220303213130110
5230310040024340200
64132132521204500
7264504326404446
oct35115063473424
97074570808680
102003213121300
11702615646436
122842a0030730
13116b96148391
146cd554d2496
153719511d800
hex1d268ce7714

2003213121300 has 108 divisors (see below), whose sum is σ = 6291297552540. Its totient is φ = 533140554240.

The previous prime is 2003213121233. The next prime is 2003213121307. The reversal of 2003213121300 is 31213123002.

2003213121300 is a `hidden beast` number, since 2 + 0 + 0 + 321 + 312 + 1 + 30 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11287362564 + 1991925758736 = 106242^2 + 1411356^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003213121307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1728337 + ... + 2644536.

Almost surely, 22003213121300 is an apocalyptic number.

2003213121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003213121300 is an abundant number, since it is smaller than the sum of its proper divisors (4288084431240).

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

2003213121300 is a wasteful number, since it uses less digits than its factorization.

2003213121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373402 (or 4373392 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2003213121300 its reverse (31213123002), we get a palindrome (2034426244302).

The spelling of 2003213121300 in words is "two trillion, three billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 509 900 1018 1527 2036 2545 3054 4581 5090 6108 7635 9162 10180 12725 15270 18324 22905 25450 30540 38175 45810 50900 76350 91620 114525 152700 229050 458100 4372873 8745746 13118619 17491492 21864365 26237238 39355857 43728730 52474476 65593095 78711714 87457460 109321825 131186190 157423428 196779285 218643650 262372380 327965475 393558570 437287300 655930950 787117140 983896425 1311861900 1967792850 2225792357 3935585700 4451584714 6677377071 8903169428 11128961785 13354754142 20032131213 22257923570 26709508284 33386885355 40064262426 44515847140 55644808925 66773770710 80128524852 100160656065 111289617850 133547541420 166934426775 200321312130 222579235700 333868853550 400642624260 500803280325 667737707100 1001606560650 2003213121300