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10344221433 = 3271319259593
BaseRepresentation
bin10011010001001000…
…00100101011111001
3222200220110220011100
421220210010223321
5132141110041213
64430240322013
7514224300660
oct115044045371
928626426140
1010344221433
114429052737
122008313309
13c8b0cc3b0
14701b67dd7
15408204773
hex268904af9

10344221433 has 144 divisors (see below), whose sum is σ = 19770791040. Its totient is φ = 5072937984.

The previous prime is 10344221383. The next prime is 10344221543. The reversal of 10344221433 is 33412244301.

10344221433 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 221 + 433 = 666.

It is not a de Polignac number, because 10344221433 - 212 = 10344217337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10344221397 and 10344221406.

It is not an unprimeable number, because it can be changed into a prime (10344221233) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17443585 + ... + 17444177.

It is an arithmetic number, because the mean of its divisors is an integer number (137297160).

Almost surely, 210344221433 is an apocalyptic number.

10344221433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10344221433 is a deficient number, since it is larger than the sum of its proper divisors (9426569607).

10344221433 is a wasteful number, since it uses less digits than its factorization.

10344221433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10344221433 its reverse (33412244301), we get a palindrome (43756465734).

The spelling of 10344221433 in words is "ten billion, three hundred forty-four million, two hundred twenty-one thousand, four hundred thirty-three".

Divisors: 1 3 7 9 13 19 21 39 57 59 63 91 117 133 171 177 247 273 361 399 413 531 593 741 767 819 1083 1121 1197 1239 1729 1779 2223 2301 2527 3249 3363 3717 4151 4693 5187 5337 5369 6903 7581 7709 7847 10089 11267 12453 14079 14573 15561 16107 21299 22743 23127 23541 32851 33801 34987 37359 42237 43719 48321 53963 63897 69381 70623 78869 98553 101403 102011 104961 131157 146471 149093 161889 191691 214073 236607 244909 276887 295659 306033 314883 439413 447279 454831 485667 642219 664753 709821 734727 830661 918099 1025297 1318239 1341837 1364493 1498511 1926657 1938209 1994259 2204181 2491983 2782949 3075891 3183817 4093479 4495533 4653271 5814627 5982777 8348847 8641789 9227673 9551451 12630307 13486599 13959813 17443881 19480643 25046541 25925367 28654353 37890921 41879439 58441929 60492523 77776101 88412149 113672763 164193991 175325787 181477569 265236447 492581973 544432707 795709341 1149357937 1477745919 3448073811 10344221433