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10212110442 = 232613925513
BaseRepresentation
bin10011000001011000…
…00111000001101010
3222100200212221221200
421200230013001222
5131403300013232
64405200545030
7511031335512
oct114054070152
928320787850
1010212110442
1143705197a6
121b90022176
13c69924b01
146cc3b8842
153eb80a77c
hex260b0706a

10212110442 has 24 divisors (see below), whose sum is σ = 22162358244. Its totient is φ = 3398480064.

The previous prime is 10212110429. The next prime is 10212110473. The reversal of 10212110442 is 24401121201.

10212110442 is a `hidden beast` number, since 1 + 0 + 212 + 1 + 10 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7887038481 + 2325071961 = 88809^2 + 48219^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451723 + ... + 473790.

Almost surely, 210212110442 is an apocalyptic number.

10212110442 is an abundant number, since it is smaller than the sum of its proper divisors (11950247802).

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

10212110442 is a wasteful number, since it uses less digits than its factorization.

10212110442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926134 (or 926131 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10212110442 its reverse (24401121201), we get a palindrome (34613231643).

The spelling of 10212110442 in words is "ten billion, two hundred twelve million, one hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 613 1226 1839 3678 5517 11034 925513 1851026 2776539 5553078 8329617 16659234 567339469 1134678938 1702018407 3404036814 5106055221 10212110442