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1022023314105 = 352941673732293
BaseRepresentation
bin11101101111101010101…
…01100010101010111001
310121201000120011200220020
432313311111202222321
5113221100432022410
62101302214321053
7133560455555613
oct16676525425271
93551016150806
101022023314105
1136448a575832
121460a9659189
13754b7bc1551
1437675335db3
151b8b9e4ca70
hexedf5562ab9

1022023314105 has 128 divisors (see below), whose sum is σ = 1764232081920. Its totient is φ = 504207728640.

The previous prime is 1022023314029. The next prime is 1022023314113. The reversal of 1022023314105 is 5014133202201.

It is not a de Polignac number, because 1022023314105 - 213 = 1022023305913 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 445713339 + ... + 445715631.

It is an arithmetic number, because the mean of its divisors is an integer number (13783063140).

Almost surely, 21022023314105 is an apocalyptic number.

1022023314105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1022023314105 is a deficient number, since it is larger than the sum of its proper divisors (742208767815).

1022023314105 is a wasteful number, since it uses less digits than its factorization.

1022023314105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1022023314105 its reverse (5014133202201), we get a palindrome (6036156516306).

The spelling of 1022023314105 in words is "one trillion, twenty-two billion, twenty-three million, three hundred fourteen thousand, one hundred five".

Divisors: 1 3 5 15 29 41 67 87 123 145 201 205 335 373 435 615 1005 1119 1189 1865 1943 2293 2747 3567 5595 5829 5945 6879 8241 9715 10817 11465 13735 15293 17835 24991 29145 32451 34395 41205 45879 54085 66497 74973 76465 79663 94013 124955 153631 162255 199491 229395 238989 282039 332485 374865 398315 443497 460893 470065 724739 768155 855289 997455 1024631 1194945 1330491 1410195 2174217 2217485 2304465 2565867 2726377 3073893 3623695 4276445 4455299 5123155 6298871 6652455 8179131 10871085 12829335 13365897 13631885 15369465 18896613 22276495 24803381 29714299 31494355 35066849 40895655 57304363 66829485 74410143 89142897 94483065 105200547 124016905 148571495 171913089 175334245 182667259 286521815 372050715 445714485 526002735 548001777 859565445 913336295 1016938621 1661826527 2349478883 2740008885 3050815863 4985479581 5084693105 7048436649 8309132635 11747394415 15254079315 24927397905 35242183245 68134887607 204404662821 340674438035 1022023314105