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213540555320 = 235371675411597
BaseRepresentation
bin1100011011100000000…
…0100100101000111000
3202102012000020011110022
43012320000210220320
511444312340232240
6242033231110012
721266506525451
oct3067000445070
9672160204408
10213540555320
1182620092894
1235476372308
13171a16a54a1
14a49a55c128
15584c0a09b5
hex31b8024a38

213540555320 has 128 divisors (see below), whose sum is σ = 497635608960. Its totient is φ = 82405693440.

The previous prime is 213540555311. The next prime is 213540555331. The reversal of 213540555320 is 23555045312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133712762 + ... + 133714358.

It is an arithmetic number, because the mean of its divisors is an integer number (3887778195).

Almost surely, 2213540555320 is an apocalyptic number.

213540555320 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 213540555320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248817804480).

213540555320 is an abundant number, since it is smaller than the sum of its proper divisors (284095053640).

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

213540555320 is a wasteful number, since it uses less digits than its factorization.

213540555320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 213540555320 in words is "two hundred thirteen billion, five hundred forty million, five hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 167 185 296 334 370 541 668 740 835 1082 1336 1480 1597 1670 2164 2705 3194 3340 4328 5410 6179 6388 6680 7985 10820 12358 12776 15970 20017 21640 24716 30895 31940 40034 49432 59089 61790 63880 80068 90347 100085 118178 123580 160136 180694 200170 236356 247160 266699 295445 361388 400340 451735 472712 533398 590890 722776 800680 863977 903470 1066796 1181780 1333495 1727954 1806940 2133592 2363560 2666990 3342839 3455908 3613880 4319885 5333980 6685678 6911816 8639770 9867863 10667960 13371356 16714195 17279540 19735726 26742712 31967149 33428390 34559080 39471452 49339315 63934298 66856780 78942904 98678630 127868596 133713560 144284159 159835745 197357260 255737192 288568318 319671490 394714520 577136636 639342980 721420795 1154273272 1278685960 1442841590 2885683180 5338513883 5771366360 10677027766 21354055532 26692569415 42708111064 53385138830 106770277660 213540555320