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1320243121422 = 233415359190699
BaseRepresentation
bin10011001101100100100…
…111110100110100001110
311200012210000100120101000
4103031210213310310032
5133112324214341142
62450302240001130
7164245566241161
oct23154447646416
94605700316330
101320243121422
11469a03906a05
12193a569001a6
1397662c768b4
1447c85c79ad8
15245211b714c
hex133649f4d0e

1320243121422 has 128 divisors (see below), whose sum is σ = 3114054720000. Its totient is φ = 414104520960.

The previous prime is 1320243121367. The next prime is 1320243121423. The reversal of 1320243121422 is 2241213420231.

1320243121422 is a `hidden beast` number, since 1 + 3 + 202 + 4 + 31 + 2 + 1 + 422 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320243121423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6827829 + ... + 7018527.

It is an arithmetic number, because the mean of its divisors is an integer number (24328552500).

Almost surely, 21320243121422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320243121422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557027360000).

1320243121422 is an abundant number, since it is smaller than the sum of its proper divisors (1793811598578).

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

1320243121422 is a wasteful number, since it uses less digits than its factorization.

1320243121422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190863 (or 190857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1320243121422 its reverse (2241213420231), we get a palindrome (3561456541653).

The spelling of 1320243121422 in words is "one trillion, three hundred twenty billion, two hundred forty-three million, one hundred twenty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 53 54 59 82 106 118 123 159 177 246 318 354 369 477 531 738 954 1062 1107 1431 1593 2173 2214 2419 2862 3127 3186 4346 4838 6254 6519 7257 9381 13038 14514 18762 19557 21771 28143 39114 43542 56286 58671 65313 84429 117342 128207 130626 168858 190699 256414 381398 384621 572097 769242 1144194 1153863 1716291 2307726 3432582 3461589 5148873 6923178 7818659 10107047 10297746 11251241 15637318 20214094 22502482 23455977 30321141 33753723 46911954 60642282 67507446 70367931 90963423 101261169 140735862 181926846 202522338 211103793 272890269 303783507 414388927 422207586 461300881 545780538 596315773 607567014 828777854 922601762 1192631546 1243166781 1383902643 1788947319 2486333562 2767805286 3577894638 3729500343 4151707929 5366841957 7459000686 8303415858 10733683914 11188501029 12455123787 16100525871 22377002058 24448946693 24910247574 32201051742 48897893386 73346840079 146693680158 220040520237 440081040474 660121560711 1320243121422