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102112323324 = 223111940339869
BaseRepresentation
bin101111100011001011…
…1100110011011111100
3100202120101100111002220
41133012113212123330
53133111223321244
6114524301245340
710243303266354
oct1370627463374
9322511314086
10102112323324
113a33a820960
1217959263850
1398243237bb
144d297d7b64
1529c98d8319
hex17c65e66fc

102112323324 has 48 divisors (see below), whose sum is σ = 259942193280. Its totient is φ = 30940757440.

The previous prime is 102112323323. The next prime is 102112323349. The reversal of 102112323324 is 423323211201.

It is a super-2 number, since 2×1021123233242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102112323294 and 102112323303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112323323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2541262 + ... + 2581130.

It is an arithmetic number, because the mean of its divisors is an integer number (5415462360).

Almost surely, 2102112323324 is an apocalyptic number.

It is an amenable number.

102112323324 is an abundant number, since it is smaller than the sum of its proper divisors (157829869956).

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

102112323324 is a wasteful number, since it uses less digits than its factorization.

102112323324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59290 (or 59288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102112323324 its reverse (423323211201), we get a palindrome (525435534525).

The spelling of 102112323324 in words is "one hundred two billion, one hundred twelve million, three hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 19403 38806 39869 58209 77612 79738 116418 119607 159476 213433 232836 239214 426866 438559 478428 640299 853732 877118 1280598 1315677 1754236 2561196 2631354 5262708 773578207 1547156414 2320734621 3094312828 4641469242 8509360277 9282938484 17018720554 25528080831 34037441108 51056161662 102112323324