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232020322100 = 225271943340289
BaseRepresentation
bin1101100000010101111…
…1010010011100110100
3211011212220011120202222
43120011133102130310
512300134200301400
6254331052421512
722522452124520
oct3300537223464
9734786146688
10232020322100
118a443472116
1238b73177898
1318b58125528
14b330994d80
15607e627185
hex36057d2734

232020322100 has 144 divisors (see below), whose sum is σ = 607109059200. Its totient is φ = 75187077120.

The previous prime is 232020322091. The next prime is 232020322141. The reversal of 232020322100 is 1223020232.

232020322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5738756 + ... + 5779044.

Almost surely, 2232020322100 is an apocalyptic number.

232020322100 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 232020322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303554529600).

232020322100 is an abundant number, since it is smaller than the sum of its proper divisors (375088737100).

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

232020322100 is a wasteful number, since it uses less digits than its factorization.

232020322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40762 (or 40755 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 232020322100 its reverse (1223020232), we get a palindrome (233243342332).

The spelling of 232020322100 in words is "two hundred thirty-two billion, twenty million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 433 475 532 665 700 866 950 1330 1732 1900 2165 2660 3031 3325 4330 6062 6650 8227 8660 10825 12124 13300 15155 16454 21650 30310 32908 40289 41135 43300 57589 60620 75775 80578 82270 115178 151550 161156 164540 201445 205675 230356 282023 287945 303100 402890 411350 564046 575890 765491 805780 822700 1007225 1128092 1151780 1410115 1439725 1530982 2014450 2820230 2879450 3061964 3827455 4028900 5358437 5640460 5758900 7050575 7654910 10716874 14101150 15309820 17445137 19137275 21433748 26792185 28202300 34890274 38274550 53584370 69780548 76549100 87225685 107168740 122115959 133960925 174451370 244231918 267921850 331457603 348902740 436128425 488463836 535843700 610579795 662915206 872256850 1221159590 1325830412 1657288015 1744513700 2320203221 2442319180 3052898975 3314576030 4640406442 6105797950 6629152060 8286440075 9280812884 11601016105 12211595900 16572880150 23202032210 33145760300 46404064420 58005080525 116010161050 232020322100