Search a number
-
+
1043223320232 = 233247349883327
BaseRepresentation
bin11110010111001001111…
…01001001011010101000
310200201202000201121002100
433023210331021122220
5114043010132221412
62115130012133400
7135241021624632
oct17134475113250
93621660647070
101043223320232
11372479405155
1214a225467260
13774b6093382
14386c6b4da52
151c20b205edc
hexf2e4f496a8

1043223320232 has 96 divisors (see below), whose sum is σ = 2893782528000. Its totient is φ = 339366782592.

The previous prime is 1043223320207. The next prime is 1043223320287. The reversal of 1043223320232 is 2320233223401.

1043223320232 is a `hidden beast` number, since 1 + 0 + 4 + 322 + 332 + 0 + 2 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1043223320196 and 1043223320205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739353 + ... + 1622679.

It is an arithmetic number, because the mean of its divisors is an integer number (30143568000).

Almost surely, 21043223320232 is an apocalyptic number.

1043223320232 is a gapful number since it is divisible by the number (12) 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 1043223320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446891264000).

1043223320232 is an abundant number, since it is smaller than the sum of its proper divisors (1850559207768).

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

1043223320232 is a wasteful number, since it uses less digits than its factorization.

1043223320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883735 (or 883728 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1043223320232 its reverse (2320233223401), we get a palindrome (3363456543633).

The spelling of 1043223320232 in words is "one trillion, forty-three billion, two hundred twenty-three million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 349 376 423 564 698 846 1047 1128 1396 1692 2094 2792 3141 3384 4188 6282 8376 12564 16403 25128 32806 49209 65612 98418 131224 147627 196836 295254 393672 590508 883327 1181016 1766654 2649981 3533308 5299962 7066616 7949943 10599924 15899886 21199848 31799772 41516369 63599544 83032738 124549107 166065476 249098214 308281123 332130952 373647321 498196428 616562246 747294642 924843369 996392856 1233124492 1494589284 1849686738 2466248984 2774530107 2989178568 3699373476 5549060214 7398746952 11098120428 14489212781 22196240856 28978425562 43467638343 57956851124 86935276686 115913702248 130402915029 173870553372 260805830058 347741106744 521611660116 1043223320232