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10123420340 = 22511294336901
BaseRepresentation
bin10010110110110011…
…10010001010110100
3222010112000001000002
421123121302022310
5131213043422330
64352312010432
7505603440005
oct113331621264
928115001002
1010123420340
1143254525a0
121b66390a18
13c54441167
146c06cd1ac
153e3b3be45
hex25b6722b4

10123420340 has 96 divisors (see below), whose sum is σ = 24550162560. Its totient is φ = 3471552000.

The previous prime is 10123420313. The next prime is 10123420361. The reversal of 10123420340 is 4302432101.

10123420340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 255890 + ... + 292790.

It is an arithmetic number, because the mean of its divisors is an integer number (255730860).

Almost surely, 210123420340 is an apocalyptic number.

10123420340 is a gapful number since it is divisible by the number (10) 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 10123420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12275081280).

10123420340 is an abundant number, since it is smaller than the sum of its proper divisors (14426742220).

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

10123420340 is a wasteful number, since it uses less digits than its factorization.

10123420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36993 (or 36991 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10123420340 its reverse (4302432101), we get a palindrome (14425852441).

The spelling of 10123420340 in words is "ten billion, one hundred twenty-three million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 43 44 55 58 86 110 116 145 172 215 220 290 319 430 473 580 638 860 946 1247 1276 1595 1892 2365 2494 3190 4730 4988 6235 6380 9460 12470 13717 24940 27434 36901 54868 68585 73802 137170 147604 184505 274340 369010 405911 738020 811822 1070129 1586743 1623644 2029555 2140258 3173486 4059110 4280516 5350645 6346972 7933715 8118220 10701290 11771419 15867430 17454173 21402580 23542838 31734860 34908346 46015547 47085676 58857095 69816692 87270865 92031094 117714190 174541730 184062188 230077735 235428380 349083460 460155470 506171017 920310940 1012342034 2024684068 2530855085 5061710170 10123420340