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105533021322 = 23271109175689
BaseRepresentation
bin110001001001001000…
…0100001110010001010
3101002101202222221121100
41202102100201302022
53212112423140242
6120251534522230
710424130611001
oct1422220416212
9332352887540
10105533021322
11408357039a3
1218552966376
139c4ac15661
145171c31c38
152b29d7d54c
hex1892421c8a

105533021322 has 48 divisors (see below), whose sum is σ = 232090971840. Its totient is φ = 34649966400.

The previous prime is 105533021239. The next prime is 105533021327. The reversal of 105533021322 is 223120335501.

It is a happy number.

105533021322 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 330 + 2 + 1 + 322 = 666.

It is a super-2 number, since 2×1055330213222 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105533021327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356454 + ... + 1432142.

It is an arithmetic number, because the mean of its divisors is an integer number (4835228580).

Almost surely, 2105533021322 is an apocalyptic number.

105533021322 is an abundant number, since it is smaller than the sum of its proper divisors (126557950518).

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

105533021322 is a wasteful number, since it uses less digits than its factorization.

105533021322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76859 (or 76856 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 105533021322 its reverse (223120335501), we get a palindrome (328653356823).

The spelling of 105533021322 in words is "one hundred five billion, five hundred thirty-three million, twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1091 1278 2182 3273 6546 9819 19638 75689 77461 151378 154922 227067 232383 454134 464766 681201 697149 1362402 1394298 5373919 10747838 16121757 32243514 48365271 82576699 96730542 165153398 247730097 495460194 743190291 1486380582 5862945629 11725891258 17588836887 35177673774 52766510661 105533021322