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1430013312222 = 23111915723930391
BaseRepresentation
bin10100110011110011011…
…011110111110011011110
312001201010002100000210020
4110303303123313303132
5141412131401442342
63012534500053010
7205213030412025
oct24636333676336
95051102300706
101430013312222
11501513263a60
121b1190694166
13a4b07980311
144d2da71b8bc
15272e80180ec
hex14cf36f7cde

1430013312222 has 128 divisors (see below), whose sum is σ = 3319098163200. Its totient is φ = 406195171200.

The previous prime is 1430013312209. The next prime is 1430013312223. The reversal of 1430013312222 is 2222133100341.

It is a junction number, because it is equal to n+sod(n) for n = 1430013312192 and 1430013312201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430013312223) 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, 47038647 + ... + 47069037.

It is an arithmetic number, because the mean of its divisors is an integer number (25930454400).

Almost surely, 21430013312222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430013312222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659549081600).

1430013312222 is an abundant number, since it is smaller than the sum of its proper divisors (1889084850978).

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

1430013312222 is a wasteful number, since it uses less digits than its factorization.

1430013312222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30822.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1430013312222 its reverse (2222133100341), we get a palindrome (3652146412563).

The spelling of 1430013312222 in words is "one trillion, four hundred thirty billion, thirteen million, three hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 157 209 239 314 418 471 478 627 717 942 1254 1434 1727 2629 2983 3454 4541 5181 5258 5966 7887 8949 9082 10362 13623 15774 17898 27246 30391 32813 37523 49951 60782 65626 75046 91173 98439 99902 112569 149853 182346 196878 225138 299706 334301 412753 577429 668602 712937 825506 1002903 1154858 1238259 1425874 1732287 2005806 2138811 2476518 3464574 4277622 4771387 6351719 7263449 7842307 9542774 12703438 14314161 14526898 15684614 19055157 21790347 23526921 28628322 38110314 43580694 47053842 52485257 79897939 90656353 104970514 138005531 157455771 159795878 181312706 239693817 271969059 276011062 314911542 414016593 479387634 543938118 828033186 997219883 1140361493 1518060841 1994439766 2280722986 2991659649 3036121682 3421084479 4554182523 5983319298 6842168958 9108365046 12543976423 21666868367 25087952846 37631929269 43333736734 65000605101 75263858538 130001210202 238335552037 476671104074 715006656111 1430013312222