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2313212110300 = 2252713496951157
BaseRepresentation
bin100001101010010110001…
…011111010010111011100
322012010210201200121210201
4201222112023322113130
5300344424300012200
64530401443313244
7326060360341420
oct41522613722734
98163721617721
102313212110300
11812033a27103
1231439607b824
1313a19a69c210
147dd625b2b80
154028a53ac6a
hex21a962fa5dc

2313212110300 has 144 divisors (see below), whose sum is σ = 6179419839040. Its totient is φ = 731931863040.

The previous prime is 2313212110291. The next prime is 2313212110351. The reversal of 2313212110300 is 30112123132.

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, 45192322 + ... + 45243478.

Almost surely, 22313212110300 is an apocalyptic number.

2313212110300 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 2313212110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089709919520).

2313212110300 is an abundant number, since it is smaller than the sum of its proper divisors (3866207728740).

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

2313212110300 is a wasteful number, since it uses less digits than its factorization.

2313212110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56160 (or 56153 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2313212110300 its reverse (30112123132), we get a palindrome (2343324233432).

The spelling of 2313212110300 in words is "two trillion, three hundred thirteen billion, two hundred twelve million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 4969 9100 9938 19876 24845 34783 49690 51157 64597 69566 99380 102314 124225 129194 139132 173915 204628 248450 255785 258388 322985 347830 358099 452179 496900 511570 645970 665041 695660 716198 869575 904358 1023140 1278925 1291940 1330082 1432396 1614925 1739150 1790495 1808716 2260895 2557850 2660164 3229850 3325205 3478300 3580990 4521790 4655287 5115700 6459700 6650410 7161980 8952475 9043580 9310574 11304475 13300820 16626025 17904950 18621148 22608950 23276435 33252050 35809900 45217900 46552870 66504100 93105740 116382175 232764350 254199133 465528700 508398266 1016796532 1270995665 1779393931 2541991330 3304588729 3558787862 5083982660 6354978325 6609177458 7117575724 8896969655 12709956650 13218354916 16522943645 17793939310 23132121103 25419913300 33045887290 35587878620 44484848275 46264242206 66091774580 82614718225 88969696550 92528484412 115660605515 165229436450 177939393100 231321211030 330458872900 462642422060 578303027575 1156606055150 2313212110300