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213231352340300 = 2252717129713815421
BaseRepresentation
bin110000011110111011001011…
…000000101101111101001100
31000221222201101120101011212012
4300132323023000231331030
5210422040302144342200
62033301044141400352
762625312455455160
oct6036731300557514
91027881346334765
10213231352340300
1161a3a9aa514588
121bab97b85690b8
1391c9826860bc8
143a926499dcca0
15199b9843a2a35
hexc1eecb02df4c

213231352340300 has 144 divisors (see below), whose sum is σ = 560352190039488. Its totient is φ = 68754371788800.

The previous prime is 213231352340299. The next prime is 213231352340333. The reversal of 213231352340300 is 3043253132312.

It is a happy 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, 8526590 + ... + 22342010.

It is an arithmetic number, because the mean of its divisors is an integer number (3891334653052).

Almost surely, 2213231352340300 is an apocalyptic number.

213231352340300 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 213231352340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280176095019744).

213231352340300 is an abundant number, since it is smaller than the sum of its proper divisors (347120837699188).

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

213231352340300 is a wasteful number, since it uses less digits than its factorization.

213231352340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13816756 (or 13816749 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The spelling of 213231352340300 in words is "two hundred thirteen trillion, two hundred thirty-one billion, three hundred fifty-two million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1297 1700 2380 2594 2975 5188 5950 6485 9079 11900 12970 18158 22049 25940 32425 36316 44098 45395 64850 88196 90790 110245 129700 154343 181580 220490 226975 308686 440980 453950 551225 617372 771715 907900 1102450 1543430 2204900 3086860 3858575 7717150 13815421 15434300 27630842 55261684 69077105 96707947 138154210 193415894 234862157 276308420 345385525 386831788 469724314 483539735 690771050 939448628 967079470 1174310785 1381542100 1644035099 1934158940 2348621570 2417698675 3288070198 4697243140 4835397350 5871553925 6576140396 8220175495 9670794700 11743107850 16440350990 17918601037 23486215700 32880701980 35837202074 41100877475 71674404148 82201754950 89593005185 125430207259 164403509900 179186010370 250860414518 304616217629 358372020740 447965025925 501720829036 609232435258 627151036295 895930051850 1218464870516 1254302072590 1523081088145 1791860103700 2132313523403 2508604145180 3046162176290 3135755181475 4264627046806 6092324352580 6271510362950 7615405440725 8529254093612 10661567617015 12543020725900 15230810881450 21323135234030 30461621762900 42646270468060 53307838085075 106615676170150 213231352340300