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2323414200100 = 2252719237595339
BaseRepresentation
bin100001110011110110010…
…001110010111100100100
322020010010201201111000111
4201303312101302330210
5301031323013400400
64535210045422404
7326601240563440
oct41636621627444
98203121644014
102323414200100
11816399821184
1231636286aa04
1313b1351c5c46
148064d4dd820
15406860173ba
hex21cf6472f24

2323414200100 has 144 divisors (see below), whose sum is σ = 6329044915200. Its totient is φ = 721860923520.

The previous prime is 2323414200089. The next prime is 2323414200103. The reversal of 2323414200100 is 10024143232.

2323414200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2323414200103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3491770 + ... + 4103569.

It is an arithmetic number, because the mean of its divisors is an integer number (43951700800).

Almost surely, 22323414200100 is an apocalyptic number.

2323414200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2323414200100 is an abundant number, since it is smaller than the sum of its proper divisors (4005630715100).

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

2323414200100 is a wasteful number, since it uses less digits than its factorization.

2323414200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595402 (or 7595395 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2323414200100 its reverse (10024143232), we get a palindrome (2333438343332).

The spelling of 2323414200100 in words is "two trillion, three hundred twenty-three billion, four hundred fourteen million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 23 25 28 35 38 46 50 70 76 92 95 100 115 133 140 161 175 190 230 266 322 350 380 437 460 475 532 575 644 665 700 805 874 950 1150 1330 1610 1748 1900 2185 2300 2660 3059 3220 3325 4025 4370 6118 6650 8050 8740 10925 12236 13300 15295 16100 21850 30590 43700 61180 76475 152950 305900 7595339 15190678 30381356 37976695 53167373 75953390 106334746 144311441 151906780 174692797 189883475 212669492 265836865 288622882 349385594 379766950 531673730 577245764 698771188 721557205 759533900 873463985 1010180087 1063347460 1222849579 1329184325 1443114410 1746927970 2020360174 2445699158 2658368650 2886228820 3319163143 3493855940 3607786025 4040720348 4367319925 4891398316 5050900435 5316737300 6114247895 6638326286 7215572050 8734639850 10101800870 12228495790 13276652572 14431144100 16595815715 17469279700 20203601740 23234142001 24456991580 25254502175 30571239475 33191631430 46468284002 50509004350 61142478950 66383262860 82979078575 92936568004 101018008700 116170710005 122284957900 165958157150 232341420010 331916314300 464682840020 580853550025 1161707100050 2323414200100