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213132132222300 = 223352372133454777
BaseRepresentation
bin110000011101011110110001…
…000010000000010101011100
31000221122020021202012221121000
4300131132301002000111130
5210413424101322103200
62033143314434110300
762615200631413134
oct6035366102002534
91027566252187530
10213132132222300
1161a01914329365
121baa2527a1b390
1391c03737ac305
143a8b91638bac4
1519990c8869300
hexc1d7b108055c

213132132222300 has 144 divisors (see below), whose sum is σ = 703698723975520. Its totient is φ = 55299147793920.

The previous prime is 213132132222277. The next prime is 213132132222349. The reversal of 213132132222300 is 3222231231312.

213132132222300 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 2 + 132 + 222 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1066627489 + ... + 1066827288.

Almost surely, 2213132132222300 is an apocalyptic number.

213132132222300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132132222300 is an abundant number, since it is smaller than the sum of its proper divisors (490566591753220).

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

213132132222300 is a wasteful number, since it uses less digits than its factorization.

213132132222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133454837 (or 2133454824 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213132132222300 its reverse (3222231231312), we get a palindrome (216354363453612).

The spelling of 213132132222300 in words is "two hundred thirteen trillion, one hundred thirty-two billion, one hundred thirty-two million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 37 45 50 54 60 74 75 90 100 108 111 135 148 150 180 185 222 225 270 300 333 370 444 450 540 555 666 675 740 900 925 999 1110 1332 1350 1665 1850 1998 2220 2700 2775 3330 3700 3996 4995 5550 6660 8325 9990 11100 16650 19980 24975 33300 49950 99900 2133454777 4266909554 6400364331 8533819108 10667273885 12800728662 19201092993 21334547770 25601457324 32001821655 38402185986 42669095540 53336369425 57603278979 64003643310 76804371972 78937826749 96005464965 106672738850 115206557958 128007286620 157875653498 160009108275 192010929930 213345477700 230413115916 236813480247 288016394895 315751306996 320018216550 384021859860 394689133745 473626960494 480027324825 576032789790 640036433100 710440440741 789378267490 947253920988 960054649650 1152065579580 1184067401235 1420880881482 1440081974475 1578756534980 1920109299300 1973445668725 2131321322223 2368134802470 2841761762964 2880163948950 3552202203705 3946891337450 4262642644446 4736269604940 5760327897900 5920337006175 7104404407410 7893782674900 8525285288892 10656606611115 11840674012350 14208808814820 17761011018525 21313213222230 23681348024700 35522022037050 42626426444460 53283033055575 71044044074100 106566066111150 213132132222300