Search a number
-
+
10042333420 = 225731463897
BaseRepresentation
bin10010101101001000…
…11101100011101100
3221220212102101122211
421112210131203230
5131031314132140
64340254020204
7503600266000
oct112644354354
927825371584
1010042333420
1142936a9809
121b431a7664
13c406c0132
146b3a22700
153db9712ea
hex25691d8ec

10042333420 has 48 divisors (see below), whose sum is σ = 24593486400. Its totient is φ = 3443083392.

The previous prime is 10042333387. The next prime is 10042333421. The reversal of 10042333420 is 2433324001.

It is a happy number.

10042333420 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 = 10042333391 and 10042333400.

It is not an unprimeable number, because it can be changed into a prime (10042333421) 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, 725089 + ... + 738808.

It is an arithmetic number, because the mean of its divisors is an integer number (512364300).

Almost surely, 210042333420 is an apocalyptic number.

10042333420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042333420 is an abundant number, since it is smaller than the sum of its proper divisors (14551152980).

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

10042333420 is a wasteful number, since it uses less digits than its factorization.

10042333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463927 (or 1463911 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10042333420 its reverse (2433324001), we get a palindrome (12475657421).

The spelling of 10042333420 in words is "ten billion, forty-two million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 1463897 2927794 5855588 7319485 10247279 14638970 20494558 29277940 40989116 51236395 71730953 102472790 143461906 204945580 286923812 358654765 502116671 717309530 1004233342 1434619060 2008466684 2510583355 5021166710 10042333420