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213320311040440 = 235241293487155081
BaseRepresentation
bin110000100000001110000001…
…010111001110100110111000
31000222022020000020212101010001
4300200032001113032212320
5210430014444111243230
62033405555323202344
762634612112110112
oct6040160127164670
91028266006771101
10213320311040440
1161a746aa37367a
121bb12aa46763b4
139205032a15906
143a96a884bc3b2
15199de3e0e10ca
hexc203815ce9b8

213320311040440 has 128 divisors (see below), whose sum is σ = 484603360053120. Its totient is φ = 84509617766400.

The previous prime is 213320311040423. The next prime is 213320311040453. The reversal of 213320311040440 is 44040113023312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213320311040399 and 213320311040408.

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, 1375463700 + ... + 1375618780.

It is an arithmetic number, because the mean of its divisors is an integer number (3785963750415).

Almost surely, 2213320311040440 is an apocalyptic number.

213320311040440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213320311040440 is an abundant number, since it is smaller than the sum of its proper divisors (271283049012680).

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

213320311040440 is a wasteful number, since it uses less digits than its factorization.

213320311040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156113 (or 156109 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213320311040440 its reverse (44040113023312), we get a palindrome (257360424063752).

The spelling of 213320311040440 in words is "two hundred thirteen trillion, three hundred twenty billion, three hundred eleven million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 241 293 482 487 586 964 974 1172 1205 1465 1928 1948 2344 2410 2435 2930 3896 4820 4870 5860 9640 9740 11720 19480 70613 117367 141226 142691 155081 234734 282452 285382 310162 353065 469468 564904 570764 586835 620324 706130 713455 775405 938936 1141528 1173670 1240648 1412260 1426910 1550810 2347340 2824520 2853820 3101620 4694680 5707640 6203240 34388531 37374521 45438733 68777062 74749042 75524447 90877466 137554124 149498084 151048894 171942655 181754932 186872605 227193665 275108248 298996168 302097788 343885310 363509864 373745210 377622235 454387330 604195576 687770620 747490420 755244470 908774660 1375541240 1494980840 1510488940 1817549320 3020977880 10950734653 18201391727 21901469306 22128662971 36402783454 43802938612 44257325942 54753673265 72805566908 87605877224 88514651884 91006958635 109507346530 110643314855 145611133816 177029303768 182013917270 219014693060 221286629710 364027834540 438029386120 442573259420 728055669080 885146518840 5333007776011 10666015552022 21332031104044 26665038880055 42664062208088 53330077760110 106660155520220 213320311040440