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120213323213220 = 223254631559925237
BaseRepresentation
bin11011010101010101011000…
…011011010110100110100100
3120202122021121012001002002100
4123111111120123112212210
5111224033341220310340
61103401123245412100
734215061133446326
oct3325253033264644
9522567535032070
10120213323213220
1135338202aa9726
121159619286a030
1352100b5a85463
1421984da7b3616
15dd70575c3830
hex6d55586d69a4

120213323213220 has 144 divisors (see below), whose sum is σ = 365669453560320. Its totient is φ = 31967096249088.

The previous prime is 120213323213209. The next prime is 120213323213227. The reversal of 120213323213220 is 22312323312021.

120213323213220 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 332 + 3 + 2 + 1 + 322 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (120213323213227) 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, 129464442 + ... + 130389678.

It is an arithmetic number, because the mean of its divisors is an integer number (2539371205280).

Almost surely, 2120213323213220 is an apocalyptic number.

120213323213220 is a gapful number since it is divisible by the number (10) 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 120213323213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182834726780160).

120213323213220 is an abundant number, since it is smaller than the sum of its proper divisors (245456130347100).

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

120213323213220 is a wasteful number, since it uses less digits than its factorization.

120213323213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927274 (or 927269 counting only the distinct ones).

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

Adding to 120213323213220 its reverse (22312323312021), we get a palindrome (142525646525241).

The spelling of 120213323213220 in words is "one hundred twenty trillion, two hundred thirteen billion, three hundred twenty-three million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 463 926 1389 1559 1852 2315 2778 3118 4167 4630 4677 5556 6236 6945 7795 8334 9260 9354 13890 14031 15590 16668 18708 20835 23385 27780 28062 31180 41670 46770 56124 70155 83340 93540 140310 280620 721817 925237 1443634 1850474 2165451 2775711 2887268 3609085 3700948 4330902 4626185 5551422 6496353 7218170 8327133 8661804 9252370 10827255 11102844 12992706 13878555 14436340 16654266 18504740 21654510 25985412 27757110 32481765 33308532 41635665 43309020 55514220 64963530 83271330 129927060 166542660 428384731 856769462 1285154193 1442444483 1713538924 2141923655 2570308386 2884888966 3855462579 4283847310 4327333449 5140616772 5769777932 6425770965 7212222415 7710925158 8567694620 8654666898 12851541930 12982000347 14424444830 15421850316 17309333796 19277312895 21636667245 25703083860 25964000694 28848889660 38554625790 43273334490 51928001388 64910001735 77109251580 86546668980 129820003470 259640006940 667851795629 1335703591258 2003555386887 2671407182516 3339258978145 4007110773774 6010666160661 6678517956290 8014221547548 10017776934435 12021332321322 13357035912580 20035553868870 24042664642644 30053330803305 40071107737740 60106661606610 120213323213220