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210023313312120 = 233571122729795813
BaseRepresentation
bin101111110000001111011100…
…111111000000100101111000
31000112122000212210222021102020
4233300033130333000211320
5210012010221201441440
62022403213403434440
762144453330604120
oct5760173477004570
91015560783867366
10210023313312120
1160a13429082870
121b67bb12825a20
139026162385639
1439c127b0bbc80
1519432c5a803d0
hexbf03dcfc0978

210023313312120 has 128 divisors (see below), whose sum is σ = 785541743331840. Its totient is φ = 43641207959040.

The previous prime is 210023313312119. The next prime is 210023313312157. The reversal of 210023313312120 is 21213313320012.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11364888667 + ... + 11364907146.

It is an arithmetic number, because the mean of its divisors is an integer number (6137044869780).

Almost surely, 2210023313312120 is an apocalyptic number.

210023313312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210023313312120 is an abundant number, since it is smaller than the sum of its proper divisors (575518430019720).

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

210023313312120 is a wasteful number, since it uses less digits than its factorization.

210023313312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22729795845 (or 22729795841 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 210023313312120 its reverse (21213313320012), we get a palindrome (231236626632132).

The spelling of 210023313312120 in words is "two hundred ten trillion, twenty-three billion, three hundred thirteen million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 22729795813 45459591626 68189387439 90919183252 113648979065 136378774878 159108570691 181838366504 227297958130 250027753943 272757549756 318217141382 340946937195 454595916260 477325712073 500055507886 545515099512 636434282764 681893874390 750083261829 795542853455 909191832520 954651424146 1000111015772 1250138769715 1272868565528 1363787748780 1500166523658 1591085706910 1750194277601 1909302848292 2000222031544 2386628560365 2500277539430 2727575497560 3000333047316 3182171413820 3500388555202 3750416309145 3818605696584 4773257120730 5000555078860 5250582832803 6000666094632 6364342827640 7000777110404 7500832618290 8750971388005 9546514241460 10001110157720 10501165665606 14001554220808 15001665236580 17501942776010 19093028482920 21002331331212 26252914164015 30003330473160 35003885552020 42004662662424 52505828328030 70007771104040 105011656656060 210023313312120