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10120323444 = 22371135930509
BaseRepresentation
bin10010110110011011…
…11110000101110100
3222010022011200212020
421123031332011310
5131211300322234
64352121353140
7505535221110
oct113315760564
928108150766
1010120323444
114323727880
121b653387b0
13c538c868a
146c0124740
153e3729549
hex25b37e174

10120323444 has 96 divisors (see below), whose sum is σ = 29523916800. Its totient is φ = 2621247360.

The previous prime is 10120323439. The next prime is 10120323467. The reversal of 10120323444 is 44432302101.

It is a super-2 number, since 2×101203234442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 316462 + ... + 346970.

It is an arithmetic number, because the mean of its divisors is an integer number (307540800).

Almost surely, 210120323444 is an apocalyptic number.

10120323444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120323444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761958400).

10120323444 is an abundant number, since it is smaller than the sum of its proper divisors (19403593356).

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

10120323444 is a wasteful number, since it uses less digits than its factorization.

10120323444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30893 (or 30891 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10120323444 its reverse (44432302101), we get a palindrome (54552625545).

The spelling of 10120323444 in words is "ten billion, one hundred twenty million, three hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 359 462 718 924 1077 1436 2154 2513 3949 4308 5026 7539 7898 10052 11847 15078 15796 23694 27643 30156 30509 47388 55286 61018 82929 91527 110572 122036 165858 183054 213563 331716 335599 366108 427126 640689 671198 854252 1006797 1281378 1342396 2013594 2349193 2562756 4027188 4698386 7047579 9396772 10952731 14095158 21905462 28190316 32858193 43810924 65716386 76669117 120480041 131432772 153338234 230007351 240960082 306676468 361440123 460014702 481920164 722880246 843360287 920029404 1445760492 1686720574 2530080861 3373441148 5060161722 10120323444