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10420442412 = 2234159358979
BaseRepresentation
bin10011011010001101…
…10101010100101100
3222220012220022200120
421231012311110230
5132320113124122
64442002124540
7516141204402
oct115506652454
928805808616
1010420442412
114468082686
122029950750
13ca0b38673
1470bd29472
1540ec5d75c
hex26d1b552c

10420442412 has 48 divisors (see below), whose sum is σ = 25329628800. Its totient is φ = 3331315840.

The previous prime is 10420442387. The next prime is 10420442419. The reversal of 10420442412 is 21424402401.

10420442412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10420442419) 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, 150462 + ... + 208517.

It is an arithmetic number, because the mean of its divisors is an integer number (527700600).

Almost surely, 210420442412 is an apocalyptic number.

10420442412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10420442412 is an abundant number, since it is smaller than the sum of its proper divisors (14909186388).

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

10420442412 is a wasteful number, since it uses less digits than its factorization.

10420442412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359086 (or 359084 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10420442412 its reverse (21424402401), we get a palindrome (31844844813).

The spelling of 10420442412 in words is "ten billion, four hundred twenty million, four hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 41 59 82 118 123 164 177 236 246 354 492 708 2419 4838 7257 9676 14514 29028 358979 717958 1076937 1435916 2153874 4307748 14718139 21179761 29436278 42359522 44154417 58872556 63539283 84719044 88308834 127078566 176617668 254157132 868370201 1736740402 2605110603 3473480804 5210221206 10420442412