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40221022103310 = 2354768345619157
BaseRepresentation
bin10010010010100101011111…
…01111000010011100001110
312021102002111012000012012210
421021102233233002130032
520232440123124301220
6221313141003011250
711320605264654456
oct1111225757023416
9167362435005183
1040221022103310
11118a7704465674
12461712ab09b26
131959a97c6a309
149d09ca504d66
1549b393a076e0
hex2494afbc270e

40221022103310 has 128 divisors (see below), whose sum is σ = 98761062979584. Its totient is φ = 10478589327360.

The previous prime is 40221022103309. The next prime is 40221022103321. The reversal of 40221022103310 is 1330122012204.

40221022103310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402210221033102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4392375252 + ... + 4392384408.

It is an arithmetic number, because the mean of its divisors is an integer number (771570804528).

Almost surely, 240221022103310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221022103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49380531489792).

40221022103310 is an abundant number, since it is smaller than the sum of its proper divisors (58540040876274).

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

40221022103310 is a wasteful number, since it uses less digits than its factorization.

40221022103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14458.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 40221022103310 its reverse (1330122012204), we get a palindrome (41551144115514).

The spelling of 40221022103310 in words is "forty trillion, two hundred twenty-one billion, twenty-two million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 683 705 1366 1410 2049 3415 4098 4561 6830 9122 9157 10245 13683 18314 20490 22805 27366 27471 32101 45610 45785 54942 64202 68415 91570 96303 136830 137355 160505 192606 214367 274710 321010 428734 430379 481515 643101 860758 963030 1071835 1286202 1291137 2143670 2151895 2582274 3115163 3215505 4303790 6230326 6254231 6431010 6455685 9345489 12508462 12911370 15575815 18690978 18762693 31151630 31271155 37525386 41765077 46727445 62542310 83530154 93454890 93813465 125295231 146412661 187626930 208825385 250590462 292825322 293948857 417650770 439237983 587897714 626476155 732063305 878475966 881846571 1252952310 1464126610 1469744285 1763693142 1962958619 2196189915 2939488570 3925917238 4392379830 4409232855 5888875857 8818465710 9814793095 11777751714 19629586190 28525547591 29444379285 57051095182 58888758570 85576642773 142627737955 171153285546 285255475910 427883213865 855766427730 1340700736777 2681401473554 4022102210331 6703503683885 8044204420662 13407007367770 20110511051655 40221022103310