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213243104100 = 223521359926741
BaseRepresentation
bin1100011010011001000…
…1111000101101100100
3202101102021112002002110
43012212101320231210
511443210213312400
6241543523441020
721256235322645
oct3064621705544
9671367462073
10213243104100
118248819a334
12353b2826170
1317154b8a850
14a46cc4d6cc
155830de6e50
hex31a6478b64

213243104100 has 144 divisors (see below), whose sum is σ = 675706127040. Its totient is φ = 51600883200.

The previous prime is 213243104059. The next prime is 213243104101. The reversal of 213243104100 is 1401342312.

It is not an unprimeable number, because it can be changed into a prime (213243104101) 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, 233271 + ... + 693470.

It is an arithmetic number, because the mean of its divisors is an integer number (4692403660).

Almost surely, 2213243104100 is an apocalyptic number.

213243104100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213243104100 is an abundant number, since it is smaller than the sum of its proper divisors (462463022940).

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

213243104100 is a wasteful number, since it uses less digits than its factorization.

213243104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926830 (or 926823 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213243104100 its reverse (1401342312), we get a palindrome (214644446412).

The spelling of 213243104100 in words is "two hundred thirteen billion, two hundred forty-three million, one hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 59 60 65 75 78 100 118 130 150 156 177 195 236 260 295 300 325 354 390 590 650 708 767 780 885 975 1180 1300 1475 1534 1770 1950 2301 2950 3068 3540 3835 3900 4425 4602 5900 7670 8850 9204 11505 15340 17700 19175 23010 38350 46020 57525 76700 115050 230100 926741 1853482 2780223 3706964 4633705 5560446 9267410 11120892 12047633 13901115 18534820 23168525 24095266 27802230 36142899 46337050 48190532 54677719 55604460 60238165 69505575 72285798 92674100 109355438 120476330 139011150 144571596 164033157 180714495 218710876 240952660 273388595 278022300 301190825 328066314 361428990 546777190 602381650 656132628 710810347 722857980 820165785 903572475 1093554380 1204763300 1366942975 1421620694 1640331570 1807144950 2132431041 2733885950 2843241388 3280663140 3554051735 3614289900 4100828925 4264862082 5467771900 7108103470 8201657850 8529724164 10662155205 14216206940 16403315700 17770258675 21324310410 35540517350 42648620820 53310776025 71081034700 106621552050 213243104100