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21323323333000 = 2353135011327331
BaseRepresentation
bin1001101100100101110010…
…00111001101100110001000
32210111111020001210000222001
410312102321013031212020
510243330131233124000
6113203444405440344
74330362554532553
oct466227107154610
983444201700861
1021323323333000
11688119713a547
122484729a100b4
13bb8a1c447620
1453a0a921d69a
1526ea0668846a
hex1364b91cd988

21323323333000 has 128 divisors (see below), whose sum is σ = 53745662355840. Its totient is φ = 7871631840000.

The previous prime is 21323323332989. The next prime is 21323323333019. The reversal of 21323323333000 is 33332332312.

It is a self number, because there is not a number n which added to its sum of digits gives 21323323333000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64979335 + ... + 65306665.

It is an arithmetic number, because the mean of its divisors is an integer number (419887987155).

Almost surely, 221323323333000 is an apocalyptic number.

21323323333000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21323323333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26872831177920).

21323323333000 is an abundant number, since it is smaller than the sum of its proper divisors (32422339022840).

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

21323323333000 is a wasteful number, since it uses less digits than its factorization.

21323323333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332376 (or 332362 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 28.

Adding to 21323323333000 its reverse (33332332312), we get a palindrome (21356655665312).

The spelling of 21323323333000 in words is "twenty-one trillion, three hundred twenty-three billion, three hundred twenty-three million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 5011 6500 10022 13000 20044 25055 40088 50110 65143 100220 125275 130286 200440 250550 260572 325715 327331 501100 521144 626375 651430 654662 1002200 1252750 1302860 1309324 1628575 1636655 2505500 2605720 2618648 3257150 3273310 4255303 5011000 6514300 6546620 8142875 8183275 8510606 13028600 13093240 16285750 16366550 17021212 21276515 32571500 32733100 34042424 40916375 42553030 65143000 65466200 81832750 85106060 106382575 163665500 170212120 212765150 327331000 425530300 531912875 851060600 1063825750 1640255641 2127651500 3280511282 4255303000 6561022564 8201278205 13122045128 16402556410 21323323333 32805112820 41006391025 42646646666 65610225640 82012782050 85293293332 106616616665 164025564100 170586586664 205031955125 213233233330 328051128200 410063910250 426466466660 533083083325 820127820500 852932933320 1066166166650 1640255641000 2132332333300 2665415416625 4264664666600 5330830833250 10661661666500 21323323333000