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10142323420 = 22517159718679
BaseRepresentation
bin10010111001000011…
…11001001011011100
3222011211120102011011
421130201321023130
5131232413322140
64354225105004
7506223220015
oct113441711334
928154512134
1010142323420
114335093779
121b70788164
13c5832c208
146c301000c
153e5622cea
hex25c8792dc

10142323420 has 48 divisors (see below), whose sum is σ = 22567083840. Its totient is φ = 3815691264.

The previous prime is 10142323397. The next prime is 10142323421. The reversal of 10142323420 is 2432324101.

10142323420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10142323391 and 10142323400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142323421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 533641 + ... + 552319.

It is an arithmetic number, because the mean of its divisors is an integer number (470147580).

Almost surely, 210142323420 is an apocalyptic number.

10142323420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142323420 is an abundant number, since it is smaller than the sum of its proper divisors (12424760420).

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

10142323420 is a wasteful number, since it uses less digits than its factorization.

10142323420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20302 (or 20300 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10142323420 its reverse (2432324101), we get a palindrome (12574647521).

The spelling of 10142323420 in words is "ten billion, one hundred forty-two million, three hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1597 3194 6388 7985 15970 18679 27149 31940 37358 54298 74716 93395 108596 135745 186790 271490 317543 373580 542980 635086 1270172 1587715 3175430 6350860 29830363 59660726 119321452 149151815 298303630 507116171 596607260 1014232342 2028464684 2535580855 5071161710 10142323420