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323213211113130 = 23251331634618981
BaseRepresentation
bin100100101111101011111000…
…0101000101001011010101010
31120101101212210102000010200200
41021133113300220221122222
5314331011124021110010
63103230033244013030
7125036245451361642
oct11137276050513252
91511355712003620
10323213211113130
1193a92a53582248
1230300a76531176
1310b46b4b585000
1459b586246d522
1527577b6111cc0
hex125f5f0a296aa

323213211113130 has 96 divisors (see below), whose sum is σ = 910352003455440. Its totient is φ = 79560174994560.

The previous prime is 323213211113129. The next prime is 323213211113131. The reversal of 323213211113130 is 31311112312323.

323213211113130 is a `hidden beast` number, since 3 + 2 + 3 + 21 + 321 + 1 + 1 + 1 + 313 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (323213211113129) and next prime (323213211113131).

It can be written as a sum of positive squares in 8 ways, for example, as 81574549250769 + 241638661862361 = 9031863^2 + 15544731^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 323213211113094 and 323213211113103.

It is not an unprimeable number, because it can be changed into a prime (323213211113131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817111761 + ... + 817507220.

Almost surely, 2323213211113130 is an apocalyptic number.

323213211113130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

323213211113130 is an abundant number, since it is smaller than the sum of its proper divisors (587138792342310).

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

323213211113130 is a wasteful number, since it uses less digits than its factorization.

323213211113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634619033 (or 1634619004 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 323213211113130 its reverse (31311112312323), we get a palindrome (354524323425453).

The spelling of 323213211113130 in words is "three hundred twenty-three trillion, two hundred thirteen billion, two hundred eleven million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2197 2535 3042 4394 5070 6591 7605 10985 13182 15210 19773 21970 32955 39546 65910 98865 197730 1634618981 3269237962 4903856943 8173094905 9807713886 14711570829 16346189810 21250046753 24519284715 29423141658 42500093506 49038569430 63750140259 73557854145 106250233765 127500280518 147115708290 191250420777 212500467530 276250607789 318750701295 382500841554 552501215578 637501402590 828751823367 956252103885 1381253038945 1657503646734 1912504207770 2486255470101 2762506077890 3591257901257 4143759116835 4972510940202 7182515802514 8287518233670 10773773703771 12431277350505 17956289506285 21547547407542 24862554701010 32321321111313 35912579012570 53868868518855 64642642222626 107737737037710 161606605556565 323213211113130