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100210102223 = 721133134909
BaseRepresentation
bin101110101010011111…
…1001100111111001111
3100120122210222122022112
41131110333030333033
53120212241232343
6114011430134235
710145204546300
oct1352477147717
9316583878275
10100210102223
1139553a99000
12175081b137b
1395b01c2c9a
144bc8d127a7
1529178dc218
hex1754fccfcf

100210102223 has 48 divisors (see below), whose sum is σ = 128655119520. Its totient is φ = 77820462720.

The previous prime is 100210102169. The next prime is 100210102229. The reversal of 100210102223 is 322201012001.

It is a happy number.

It is not a de Polignac number, because 100210102223 - 26 = 100210102159 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210102198 and 100210102207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210102229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20411093 + ... + 20416001.

It is an arithmetic number, because the mean of its divisors is an integer number (2680314990).

Almost surely, 2100210102223 is an apocalyptic number.

100210102223 is a deficient number, since it is larger than the sum of its proper divisors (28445017297).

100210102223 is an equidigital number, since it uses as much as digits as its factorization.

100210102223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100210102223 its reverse (322201012001), we get a palindrome (422411114224).

The spelling of 100210102223 in words is "one hundred billion, two hundred ten million, one hundred two thousand, two hundred twenty-three".

Divisors: 1 7 11 49 77 121 313 539 847 1331 2191 3443 4909 5929 9317 15337 24101 34363 37873 53999 65219 168707 240541 265111 377993 416603 593989 1536517 1855777 2645951 2916221 4157923 6533879 10755619 16901687 20413547 29105461 45737153 75289333 118311809 185918557 320160071 828182663 1301429899 2045104127 9110009293 14315728889 100210102223