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2101312202300 = 22522370110191279
BaseRepresentation
bin11110100100111111111…
…101111010011000111100
321102212212001121222100222
4132210333331322120330
5233411441410433200
64245155101040512
7304546322005163
oct36447775723074
97385761558328
102101312202300
11740185a589a3
1229b2b9256138
131231cab91b7c
14739bdcca3da
15399d7517d85
hex1e93ff7a63c

2101312202300 has 144 divisors (see below), whose sum is σ = 4773294489600. Its totient is φ = 801418464000.

The previous prime is 2101312202287. The next prime is 2101312202351. The reversal of 2101312202300 is 32022131012.

It is a super-2 number, since 2×21013122023002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1642933061 + ... + 1642934339.

It is an arithmetic number, because the mean of its divisors is an integer number (33147878400).

Almost surely, 22101312202300 is an apocalyptic number.

2101312202300 is a gapful number since it is divisible by the number (20) 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 2101312202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386647244800).

2101312202300 is an abundant number, since it is smaller than the sum of its proper divisors (2671982287300).

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

2101312202300 is a wasteful number, since it uses less digits than its factorization.

2101312202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2101312202300 its reverse (32022131012), we get a palindrome (2133334333312).

The spelling of 2101312202300 in words is "two trillion, one hundred one billion, three hundred twelve million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 701 1019 1150 1279 1402 2038 2300 2558 2804 3505 4076 5095 5116 6395 7010 10190 12790 14020 16123 17525 20380 23437 25475 25580 29417 31975 32246 35050 46874 50950 58834 63950 64492 70100 80615 93748 101900 117185 117668 127900 147085 161230 234370 294170 322460 403075 468740 585925 588340 714319 735425 806150 896579 1171850 1303301 1428638 1470850 1612300 1793158 2343700 2606602 2857276 2941700 3571595 3586316 4482895 5213204 6516505 7143190 8965790 13033010 14286380 16429337 17857975 17931580 20621317 22414475 26066020 29975923 32582525 32858674 35715950 41242634 44828950 59951846 65165050 65717348 71431900 82146685 82485268 89657900 103106585 119903692 130330100 149879615 164293370 206213170 299759230 328586740 410733425 412426340 515532925 599518460 749398075 821466850 913614001 1031065850 1498796150 1642933700 1827228002 2062131700 2997592300 3654456004 4568070005 9136140010 18272280020 21013122023 22840350025 42026244046 45680700050 84052488092 91361400100 105065610115 210131220230 420262440460 525328050575 1050656101150 2101312202300