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10423312140 = 2235792518761
BaseRepresentation
bin10011011010100011…
…10001111100001100
3222220102022010012210
421231101301330030
5132321331442030
64442143430420
7516204456063
oct115521617414
928812263183
1010423312140
11446976275a
12202a8b5410
13ca1601927
1470c4751da
15410128bb0
hex26d471f0c

10423312140 has 96 divisors (see below), whose sum is σ = 29675842560. Its totient is φ = 2733120000.

The previous prime is 10423312129. The next prime is 10423312177. The reversal of 10423312140 is 4121332401.

10423312140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1185360 + ... + 1194120.

It is an arithmetic number, because the mean of its divisors is an integer number (309123360).

Almost surely, 210423312140 is an apocalyptic number.

10423312140 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 10423312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837921280).

10423312140 is an abundant number, since it is smaller than the sum of its proper divisors (19252530420).

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

10423312140 is a wasteful number, since it uses less digits than its factorization.

10423312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9103 (or 9101 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10423312140 its reverse (4121332401), we get a palindrome (14544644541).

The spelling of 10423312140 in words is "ten billion, four hundred twenty-three million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 251 316 395 474 502 753 790 948 1004 1185 1255 1506 1580 2370 2510 3012 3765 4740 5020 7530 8761 15060 17522 19829 26283 35044 39658 43805 52566 59487 79316 87610 99145 105132 118974 131415 175220 198290 237948 262830 297435 396580 525660 594870 692119 1189740 1384238 2076357 2199011 2768476 3460595 4152714 4398022 6597033 6921190 8305428 8796044 10381785 10995055 13194066 13842380 20763570 21990110 26388132 32985165 41527140 43980220 65970330 131940660 173721869 347443738 521165607 694887476 868609345 1042331214 1737218690 2084662428 2605828035 3474437380 5211656070 10423312140