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10123130320 = 245592144731
BaseRepresentation
bin10010110110110001…
…01011010111010000
3222010111110022011121
421123120223113100
5131213010132240
64352301452024
7505601121322
oct113330532720
928114408147
1010123130320
114325274706
121b66271014
13c5436c154
146c0655612
153e3ad104a
hex25b62b5d0

10123130320 has 40 divisors (see below), whose sum is σ = 23935209120. Its totient is φ = 3980618880.

The previous prime is 10123130317. The next prime is 10123130341. The reversal of 10123130320 is 2303132101.

10123130320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10123130294 and 10123130303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1067646 + ... + 1077085.

It is an arithmetic number, because the mean of its divisors is an integer number (598380228).

Almost surely, 210123130320 is an apocalyptic number.

10123130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123130320 is an abundant number, since it is smaller than the sum of its proper divisors (13812078800).

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

10123130320 is a wasteful number, since it uses less digits than its factorization.

10123130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144803 (or 2144797 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10123130320 its reverse (2303132101), we get a palindrome (12426262421).

The spelling of 10123130320 in words is "ten billion, one hundred twenty-three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 2144731 4289462 8578924 10723655 17157848 21447310 34315696 42894620 85789240 126539129 171578480 253078258 506156516 632695645 1012313032 1265391290 2024626064 2530782580 5061565160 10123130320