Search a number
-
+
2132323032300 = 223526721583369
BaseRepresentation
bin11111000001111000010…
…110110101110011101100
321112211220020222100211020
4133001320112311303230
5234413444144013200
64311324202454140
7310024644502236
oct37017026656354
97484806870736
102132323032300
1175234984251a
122a5312804350
131261007b6716
14752c26a1256
153a6eec61ea0
hex1f0785b5cec

2132323032300 has 108 divisors (see below), whose sum is σ = 6262982034120. Its totient is φ = 560132263680.

The previous prime is 2132323032277. The next prime is 2132323032337. The reversal of 2132323032300 is 32303232312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 555016 + ... + 2138384.

It is an arithmetic number, because the mean of its divisors is an integer number (57990574390).

Almost surely, 22132323032300 is an apocalyptic number.

2132323032300 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 2132323032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131491017060).

2132323032300 is an abundant number, since it is smaller than the sum of its proper divisors (4130659001820).

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

2132323032300 is a wasteful number, since it uses less digits than its factorization.

2132323032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583520 (or 1583446 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2132323032300 its reverse (32303232312), we get a palindrome (2164626264612).

The spelling of 2132323032300 in words is "two trillion, one hundred thirty-two billion, three hundred twenty-three million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 4489 5025 6700 8978 10050 13467 17956 20100 22445 26934 44890 53868 67335 89780 112225 134670 224450 269340 336675 448900 673350 1346700 1583369 3166738 4750107 6333476 7916845 9500214 15833690 19000428 23750535 31667380 39584225 47501070 79168450 95002140 106085723 118752675 158336900 212171446 237505350 318257169 424342892 475010700 530428615 636514338 1060857230 1273028676 1591285845 2121714460 2652143075 3182571690 5304286150 6365143380 7107743441 7956429225 10608572300 14215486882 15912858450 21323230323 28430973764 31825716900 35538717205 42646460646 71077434410 85292921292 106616151615 142154868820 177693586025 213232303230 355387172050 426464606460 533080758075 710774344100 1066161516150 2132323032300