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1023443421 = 3711133761151
BaseRepresentation
bin111101000000001…
…000000111011101
32122022210022102220
4331000020013131
54044000142141
6245315535553
734235061030
oct7500100735
92568708386
101023443421
11485786210
122468ba5b9
13134057a30
1499cd1017
155ecb2766
hex3d0081dd

1023443421 has 128 divisors (see below), whose sum is σ = 1925210112. Its totient is φ = 466560000.

The previous prime is 1023443389. The next prime is 1023443423. The reversal of 1023443421 is 1243443201.

It is not a de Polignac number, because 1023443421 - 25 = 1023443389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023443391 and 1023443400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023443423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6777696 + ... + 6777846.

It is an arithmetic number, because the mean of its divisors is an integer number (15040704).

Almost surely, 21023443421 is an apocalyptic number.

1023443421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023443421 is a deficient number, since it is larger than the sum of its proper divisors (901766691).

1023443421 is a wasteful number, since it uses less digits than its factorization.

1023443421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1023443421 is about 31991.3022710861. The cubic root of 1023443421 is about 1007.7541907787.

Adding to 1023443421 its reverse (1243443201), we get a palindrome (2266886622).

It can be divided in two parts, 1023 and 443421, that added together give a palindrome (444444).

The spelling of 1023443421 in words is "one billion, twenty-three million, four hundred forty-three thousand, four hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 61 77 91 111 143 151 183 231 259 273 407 427 429 453 481 671 777 793 1001 1057 1221 1281 1443 1661 1963 2013 2257 2379 2849 3003 3171 3367 4697 4983 5291 5551 5587 5889 6771 8547 8723 9211 10101 11627 13741 14091 15799 15873 16653 16761 21593 24827 26169 27633 29341 34881 37037 39109 41223 47397 61061 61457 64477 64779 72631 74481 88023 101321 111111 117327 119743 151151 173789 183183 184371 193431 205387 217893 303963 322751 340807 359229 430199 453453 508417 521367 616161 709247 798941 838201 968253 1022421 1290597 1317173 1525251 2127741 2259257 2385649 2396823 2514603 3748877 3951519 4430491 5592587 6777771 7156947 9220211 11246631 13291473 16777761 26242139 27660633 31013437 48735401 78726417 93040311 146206203 341147807 1023443421