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106224105032 = 2343657146993
BaseRepresentation
bin110001011101101110…
…0110011011001001000
3101011011221101122020022
41202323130303121020
53220021332330112
6120444303120012
710450221665213
oct1427334633110
9334157348208
10106224105032
114105a813361
12187062a3008
13a02b152526
1451d992877a
152b6a88dd72
hex18bb733648

106224105032 has 32 divisors (see below), whose sum is σ = 203837414880. Its totient is φ = 51867889920.

The previous prime is 106224105019. The next prime is 106224105037. The reversal of 106224105032 is 230501422601.

It is a happy number.

It is a super-2 number, since 2×1062241050322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106224104992 and 106224105010.

It is not an unprimeable number, because it can be changed into a prime (106224105037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2236928 + ... + 2283920.

It is an arithmetic number, because the mean of its divisors is an integer number (6369919215).

Almost surely, 2106224105032 is an apocalyptic number.

It is an amenable number.

106224105032 is a deficient number, since it is larger than the sum of its proper divisors (97613309848).

106224105032 is a wasteful number, since it uses less digits than its factorization.

106224105032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53613 (or 53609 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 106224105032 its reverse (230501422601), we get a palindrome (336725527633).

The spelling of 106224105032 in words is "one hundred six billion, two hundred twenty-four million, one hundred five thousand, thirty-two".

Divisors: 1 2 4 8 43 86 172 344 6571 13142 26284 46993 52568 93986 187972 282553 375944 565106 1130212 2020699 2260424 4041398 8082796 16165592 308791003 617582006 1235164012 2470328024 13278013129 26556026258 53112052516 106224105032